From 5968a6e7df9a197e7cdf1c5bbff53519efbe2eaf Mon Sep 17 00:00:00 2001
From: Tim Daly <daly@axiom-developer.org>
Date: Wed, 6 Jun 2018 22:46:46 -0400
Subject: [PATCH] books/bookvol0 add Griesmer Obituary

Goal:
---
 books/bookvol0.pamphlet        |   72 +
 books/ps/griesmer.eps          | 8747 ++++++++++++++++++++++++++++++++++++++++
 changelog                      |    3 +
 patch                          | 1681 +-------
 src/axiom-website/patches.html |    2 +
 5 files changed, 8826 insertions(+), 1679 deletions(-)
 create mode 100644 books/ps/griesmer.eps

diff --git a/books/bookvol0.pamphlet b/books/bookvol0.pamphlet
index bc1b22c..0da8b99 100644
--- a/books/bookvol0.pamphlet
+++ b/books/bookvol0.pamphlet
@@ -165,6 +165,7 @@ May they rest in peace.
 
 \addcontentsline{toc}{section}{Obituary -- Richard Dimick Jenks}
 \includegraphics[scale=0.75]{ps/jenks.eps}
+\vskip 0.5cm
 \begin{verbatim}
 +---------------------------------------------------------------------+
 |                      Richard Dimick Jenks                           |
@@ -260,8 +261,77 @@ May they rest in peace.
 +---------------------------------------------------------------------+
 \end{verbatim}
 \newpage
+\addcontentsline{toc}{section}{Obituary -- James Griesmer}
+\includegraphics[scale=0.75]{ps/griesmer.eps}
+\vskip 0.5cm
+\begin{verbatim}
++------------------------------------------------------------------------+
+|                         James Griesmer                                 |
+|           Axiom Developer and Computer Algebra Pioneer                 |
+|                         by John Fitch                                  |
+|                                                                        |
+| The recent death of James (Jim) Griesmer marks the passing of one      |
+| of the historically important foundations of computer algebra, and     |
+| the loss of a gentleman.                                               |
+|                                                                        |
+| After studying at Notre Dame and Princeton, where he earned his PhD    |
+| in game theory he joined IBM for whom he worked for 35 years in a      |
+| number of areas including error-correcting codes and expert systems.   |
+|                                                                        |
+| Importantly for computer algebra, Jim was the initiator of the         |
+| Scratchpad/1 project at IBM Thomas J. Watson Research Center. By       |
+| asking for the work-in-progress from MIT, Stanford/Utah and others     |
+| the team crafted a new synthesis of the ideas of 1970 into a new       |
+| innovative system. The original idea was for this system to be         |
+| distributed back to the contributors -- the early days may not have    |
+| used words like Open-Source or Free, but that was the ethos.           |
+|                                                                        |
+| I first met Jim when he visited us in Cambridge (England) in 1970,     |
+| apparently to see if there really was an algebra group there. Our      |
+| approach differed significantly from the LISP-based Scratchpad         |
+| system, and so we had no code to contribute; but we had a few happy    |
+| (and sunny days) discussing computer algebra, and he introduced us     |
+| to the SIGSAM, and suggested we write papers for the upcoming          |
+| SYMSAC/2 conference in Los Angeles.                                    |
+|                                                                        |
+| We next met at that conference, where the character of Jim was         |
+| noticeable, especially in handling the difficut questions about LISP   |
+| from McCarthy! His calm measured response was a master-class in        |
+| diplomacy. After SYMSAC/2 we visited Jim who was on sabbatical at      |
+| UCB, and he showed us the sights.                                      |
+|                                                                        |
+| The relatioship between the Scratchpad team (Jim Griesmer, Dick Jenks  |
+| Fred Blair, and later David Yun) at IBM and the Cambridge team         |
+| continued with research fellowships for both Arthur Norman and James   |
+| Davenport; Jim was always there as a fixed point.                      |
+|                                                                        |
+| One of colleagues adds that Jim also convinced him that there was      |
+| such a concept as a "good manager" at a stage (which in fact tends to  |
+| persist) where his basic expectation was that "management" was the     |
+| "them" and liable to be at best obstructive. Another colleague noted   |
+| that Jim was a tool-builder who was genuinely interested in tool-users |
+|                                                                        |
+| I have concentrated on my personal recollections, but there were other |
+| sides to the man. I know that he was active in charity and good works, |
+| but I must leave those aspects to others to describe. The lasting      |
+| impression is that of kindness and interest -- a gentleman.            |
+|                                                                        |
+| I, Tim Daly, worked with Jim on the Financial and Marketing Expert     |
+| (FAME) project at IBM Research. He encouraged me to create the KROPS   |
+| language (merging rules and knowledge representation) which was used   |
+| in the FAME implementation. Jim was always exceptionally easy to work  |
+| with, well described as a gentleman and a scholar.                     |
+|                                                                        |
+| James Griemer was born in Cleveland, OH on Dec 18, 1929. He passed     |
+| away o Dec. 20, 2011 and resided in Decatur, GA.                       |
++------------------------------------------------------------------------+
+\end{verbatim}
+From \cite{Grei11}, with modifications by Tim Daly
+
+\newpage
 \addcontentsline{toc}{section}{Obituary -- Manuel Bronstein}
 \includegraphics{ps/bronstein.eps}
+\vskip 0.5cm
 \begin{verbatim}
 +-------------------------------------------------------------------------+
 |                        Manuel Bronstein                                 |
@@ -483,6 +553,7 @@ Reprinted with permission of S.A. Abramov, published in \cite{Abra06}
 \newpage
 \addcontentsline{toc}{section}{Obituary -- Christine Jeanne O'Connor}
 \includegraphics{ps/chrisoconnor.eps}
+\vskip 0.5cm
 \begin{verbatim}
 +-------------------------------------------------------------------------+
 |                        Christine Jeanne O'Connor                        |
@@ -534,6 +605,7 @@ From \cite{OCon08}, with modifications by Tim Daly
 \newpage
 \addcontentsline{toc}{section}{Obituary -- William Frederick Schelter}
 \includegraphics[scale=1.0]{ps/schelter.eps}
+\vskip 0.5cm
 \begin{verbatim}
 +---------------------------------------------------------------------+
 |                    William Frederick Schelter                       |
diff --git a/books/ps/griesmer.eps b/books/ps/griesmer.eps
new file mode 100644
index 0000000..c0e70f6
--- /dev/null
+++ b/books/ps/griesmer.eps
@@ -0,0 +1,8747 @@
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+%%EndData
+showpage
+%%Trailer
+end
+%%EOF
diff --git a/changelog b/changelog
index 1861f64..0b4bc02 100644
--- a/changelog
+++ b/changelog
@@ -1,3 +1,6 @@
+20180606 tpd src/axiom-website/patches.html 20180606.02.tpd.patch
+20180606 tpd books/bookvol0 add Griesmer Obituary
+20180606 tpd books/ps/griesmer.eps add Griesmer Obituary picture
 20180606 tpd src/axiom-website/patches.html 20180606.01.tpd.patch
 20180606 tpd books/bookvolbib add references
 20180516 tpd src/axiom-website/patches.html 20180516.01.tpd.patch
diff --git a/patch b/patch
index 412bca1..164e87d 100644
--- a/patch
+++ b/patch
@@ -1,1680 +1,3 @@
-books/bookvolbib add references
+books/bookvol0 add Griesmer Obituary
 
-Goal: Proving Axiom Correct
-
-\index{Kohlhase, Michael}
-\index{De Feo, Luca}
-\index{Muller, Dennis}
-\index{Pfeiffer, Markus}
-\index{Rabe, Florian}
-\index{Thiery, Nicolas M.}
-\index{Vasilyev, Victor}
-\index{Wesing, Tom}
-\begin{chunk}{axiom.bib}
-@inproceedings{Kohl17,
-  author = "Kohlhase, Michael and De Feo, Luca and Muller, Dennis and
-            Pfeiffer, Markus and Rabe, Florian and Thiery, Nicolas M.
-            and Vasilyev, Victor and Wesing, Tom",
-  title = {{Knowledge-Based Interoperability for Mathematical Software
-            Systems}},
-  booktitle = "7th Int. Conf. on Mathematical Aspects of Computer and
-               Information Sciences",
-  publisher = "Springer",
-  year = "2017",
-  pages = "195-210",
-  isbn = "9783319724539",
-  abstract = 
-    "There is a large ecosystem of mathematical software systems. 
-    Individually, these are optimized for particular domains and
-    functionalities, and together they cover many needs of practical and
-    theoretical mathematics. However, each system specializes on one area,
-    and it remains very difficult to solve problems that need to involve
-    multiple systems. Some integrations exist, but the are ad-hoc and have
-    scalability and maintainability issues. In particular, there is not
-    yet an interoperability layer that combines the various systems into a
-    virtual research environment (VRE) for mathematics.
-    
-    The OpenDreamKit project aims at building a toolkit for such VREs. It
-    suggests using a central system-agnostic formalization of mathematics
-    (Math-in-the-Middle, MitM) as the needed interoperability layer. In
-    this paper, we conduct the first major case study that instantiates
-    the MitM paradigm for a concrete domain as well as a concrete set of
-    systems. Specifically, we integrate GAP, Sage, and Singular to perform
-    computation in group and ring theory. 
-    
-    Our work involves massive practical efforts, including a novel
-    formalization of computational group theory, improvements to the
-    involved software systems, and a novel mediating system that sits at
-    the center of a star-shaped integration layout between mathematical
-    software systems.",
-  paper = "Kohl17.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Dehaye, Paul-Olivier}
-\index{Iancu, Mihnea}
-\index{Kohlhase, Michael}
-\index{Konovalov, Alexander}
-\index{Lelievre, Samuel}
-\index{Muller, Dennis}
-\index{Pfeiffer, Markus}
-\index{Rabe, Florian}
-\index{Thiery, Nicolas M.}
-\index{Wiesling, Tom}
-\begin{chunk}{axiom.bib}
-@inproceedings{Deha16,
-  author = "Dehaye, Paul-Olivier and Iancu, Mihnea and Kohlhase, Michael
-            and Konovalov, Alexander and Lelievre, Samuel and 
-            Muller, Dennis and Pfeiffer, Markus and Rabe, Florian and
-            Thiery, Nicolas M. and Wiesling, Tom",
-  title = {{Interoperability in the OpenDreamKit project: The
-           Math-in-the-Middle Approach}},
-  booktitle = "Intelligent Computer Mathematics",
-  pages = "117-131",
-  year = "2016",
-  isbn = "9783319425467",
-  publisher = "Springer",
-  abstract =
-    "OpenDreamKit - 'Open Digital Research Environment Toolkit for the
-    Advancement of Mathematics' - is an H2020 EU Research Infrastructure
-    project that aims at supporting, over the period 2015-2019, the
-    ecosystem of open-source mathematical software systems. OpenDreamKit
-    will deliver a flexible toolkit enabling research groups to set up
-    Virtual Research Environments, customised to meet the varied needs of
-    research projects in pure mathematics and applications. 
-
-    An important step in the OpenDreamKit endeavor is to foster the
-    interoperability between a variety of systems, ranging from
-    computer algebra systems over mathematical databases to
-    front-ends. This is the mission of the integration work
-    package. We report on experiments and future plans with the
-    Math-in-the-Middle approach. This architecture consists of a
-    central mathematical ontology that documents the domain and fixes a
-    joint vocabulary, or even a language, going beyond existing
-    systems such as OpenMath, combined with specifications of the
-    functionalities of the various systems. Interaction between
-    systems can then be enriched by pivoting around this architecture.",
-  paper = "Deha16.pdf",
-  keywords = "printed, axiomref"
-}
-
-\end{chunk}
-
-\index{de Bruijn, N.G.}
-\begin{chunk}{axiom.bib}
-@techreport{Brui68a,
-  author = "de Bruijn, N.G.",
-  title = {{AUTOMATH, A Language for Mathematics}},
-  year = "1968",
-  type = "technical report",
-  number = "68-WSK-05",
-  institution = "Technische Hogeschool Eindhoven",
-  paper = "Brui68a.pdf"
-}
-
-\end{chunk}
-
-\index{Farmer, William M.}
-\begin{chunk}{axiom.bib}
-@article{Farm07a,
-  author = "Farmer, William M.",
-  title = {{Chiron: A Multi-Paradigm Logic}},
-  journal = "Studies in Logic, Grammar and Rhetoric",
-  volume = "10",
-  number = "23",
-  year = "2007",
-  abstract =
-    "Chiron is a derivative of von-Neumann-Bernays-G̈odel ( NBG ) set
-    theory that is intended to be a practical, general-purpose logic for
-    mechanizing mathematics. It supports several reasoning paradigms by
-    integrating NBG set theory with elements of type theory, a scheme for
-    handling undefinedness, and a facility for reasoning about the syntax
-    of expressions.  This paper gives a quick, informal presentation of
-    the syntax and semantics of Chiron and then discusses some of the
-    benefits Chiron provides as a multi-paradigm logic.",
-  paper = "Farm07a.pdf",
-  keywords = "axiomref, printed"
-}
-
-\end{chunk}
-
-\index{Farmer, William M.}
-\begin{chunk}{axiom.bib}
-@techreport{Farm13,
-  author = "Farmer, William M.",
-  title = {{Chiron: A Set Theory with Types, Undefinedness, Quotation,
-            and Evaluation}},
-  type = "technical report",
-  institution = "McMaster University",
-  number = "SQRL Report No. 38",
-  year = "2013",
-  link = "\url{https://arxiv.org/pdf/1305.6206.pdf}",
-  abstract =
-    "Chiron is a derivative of von-Neumann-Bernays-Godel (NBG) set
-    theory that is intended to be a practical, general-purpose logic for
-    mechanizing mathematics. Unlike traditional set theories such as
-    Zermelo-Fraenkel (ZF) and NBG, Chiron is equipped with a type system,
-    lambda notation, and definite and indefinite description. The type
-    system includes a universal type, dependent types, dependent function
-    types, subtypes, and possibly empty types. Unlike traditional logics
-    such as first-order logic and simple type theory, Chiron admits
-    undefined terms that result, for example, from a function applied to
-    an argument outside its domain or from an improper definite or
-    indefinite description. The most noteworthy part of Chiron is its
-    facility for reasoning about the syntax of expressions. Quotation is
-    used to refer to a set called a construction that represents the
-    syntactic structure of an expression, and evaluation is used to refer
-    to the value of the expression that a construction represents. Using
-    quotation and evaluation, syntactic side conditions, schemas,
-    syntactic transformations used in deduction and computation rules, and
-    other such things can be directly expressed in Chiron. This paper
-    presents the syntax and semantics of Chiron, some definitions and
-    simple examples illustrating its use, a proof system for Chiron, and a
-    notion of an interpretation of one theory of Chiron in another.",
-  paper = "Farm13.pdf"
-}
-
-\end{chunk}
-
-\index{Kripke, Saul}
-\begin{chunk}{axiom.bib}
-@article{Krip75,
-  author = "Kripke, Saul",
-  title = {{Outline of a Theory of Truth}},
-  journal = "Journal of Philosophy",
-  volume = "72",
-  number = "19",
-  year = "1975",
-  pages = "690-716",
-  paper = "Krip75.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Kleene, Stephen Cole}
-\begin{chunk}{axiom.bib}
-@book{Klee52,
-  author = "Kleene, Stephen Cole",
-  title = {{Introduction to MetaMathematics}},
-  year = "1952",
-  publisher = "Ishi Press International",
-  isbn = "978-0923891572",
-  paper = "Klee52.pdf"
-}
-
-\end{chunk}
-
-\index{Smith, Peter}
-\begin{chunk}{axiom.bib}
-@misc{Smit15,
-  author = "Smith, Peter",
-  title = {{Some Big Books on Mathematical Logic}},
-  year = "2015",
-  link = "\url{}",
-  paper = "Smit15.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Gonthier, Georges}
-\begin{chunk}{axiom.bib}
-@article{Gont09a,
-  author = "Gonthier, Georges",
-  title = {{Software Engineering for Mathematics}},
-  journal = "LNCS",
-  volume = "5625",
-  year = "2009",
-  pages = "27-27",
-  abstract = 
-    "Despite its mathematical origins, progress in computer assisted
-    reasoning has mostly been driven by applications in computer science,
-    like hardware or protocol security verification. Paradoxically, it has
-    yet to gain widespread acceptance in its original domain of
-    application, mathematics; this is commonly attributed to a 'lack of
-    libraries': attempts to formalize advanced mathematics get bogged down
-    into the formalization of an unwieldly large set of basic resuts.
-
-    This problem is actually a symptom of a deeper issue: the main
-    function of computer proof systems, checking proofs down to their
-    finest details, is at odds with mathematical practice, which ignores
-    or defers details in order to apply and combine abstractions in
-    creative and elegant ways. Mathematical texts commonly leave logically
-    important parts of proofs as 'exercises to the reader', and are rife
-    with 'abuses of notation that make mathematics tractable' (according
-    to Bourbaki). This (essential) flexibility cannot be readily
-    accomodated by the narrow concept of 'proof library' used by most
-    proof assistants and based on 19th century first-order logic: a
-    collection of constants, definitions, and lemmas.  
-
-    This mismatch is familiar to software engineers, who have been
-    struggling for the past 50 years to reconcile the flexibility needed
-    to produce sensible user requirements with the precision needed to
-    implement them correctly with computer code. Over the last 20 years
-    object and components have replaced traditional data and procedure
-    libraries, partly bridging this gap and making it possible to build
-    significantly larger computer systems.  
-
-    These techniques can be implemented in compuer proof systems by
-    exploiting advances in mathematical logic. Higher-order logics allow
-    the direct manipulation of functions; this can be used to assign
-    behaviour, such as simplification rules, to symbols, similarly to
-    objects. Advanced type systems can assign a secondary, contextual
-    meaning to expressions, using mechanisms such as type classes, 
-    similarly to the metadata in software components. The two can be combined
-    to perform reflection, where an entire statement gets quoted as
-    metadata and then proved algorithmically by some decision procedure.
-
-    We propose to use a more modest, small-scale form of reflection, to
-    implement mathematical components. We use the type-derived metadata to
-    indicate how symbols, definitions and lemmas should be used in other
-    theories, and functions to implement this usage — roughly, formalizing
-    some of the exercize section of a textbook. We have applied
-    successfully this more engineered approch to computer proofs in our
-    past work on the Four Color Theorem, the Cayley-Hamilton Theorem, and
-    our ongoing long-term effort on the Odd Order Theorem, which is the
-    starting point of the proof of the Classification of Finite Simple
-    Groups (the famous 'monster theorem' whose proof spans 10,000 pages in
-    400 articles).",
-  paper = "Gont09a.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Carette, Jacques}
-\begin{chunk}{axiom.bib}
-@article{Care10,
-  author = "Carette, Jacques",
-  title = {{Mechanized Mathematics}},
-  journal = "LNCS",
-  volume = "6167",
-  year = "2010",
-  pages = "157-157",
-  abstract =
-    "In the 50 years since McCarthy’s 'Recursive Functions of Symbolic
-    Expressions and Their Computation by Machine', what have we
-    learned about the realization of Leibniz’s dream of just being
-    able to utter 'Calculemus!' (Let us calculate!) when faced with a
-    mathematical dilemma?  
-
-    In this talk, I will first present what I see as the most
-    important lessons from the past which need to be heeded by modern
-    designers. From the present, I will look at the context in which
-    computers are used, and derive further requirements. In
-    particular, now that computers are no longer the exclusive
-    playground for highly educated scientists, usability is now more
-    important than ever, and justifiably so.  
-
-    I will also examine what I see as some principal failings of
-    current systems, primarily to understand some major mistakes to
-    avoid. These failings will be analyzed to extract what seems to be
-    the root mistake, and I will present my favourite solutions.
-
-    Furthermore, various technologies have matured since the creation
-    of many of our systems, and whenever appropriate, these should be
-    used. For example, our understanding of the structure of
-    mathematics has significantly increased, yet this is barely
-    reflected in our libraries. The extreme focus on efficiency by the
-    computer algebra community, and correctness by the (interactive)
-    theorem proving community should no longer be considered viable
-    long term strategies.  But how does one effectively bridge that
-    gap?  
-
-    I personally find that a number of (programming) language-based
-    solutions are particularly effective, and I will emphasize
-    these. Solutions to some of these problems will be illustrated
-    with code from a prototype of MathScheme 2.0, the system I am
-    developing with Bill Farmer and our research group.",
-  paper = "Care10.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Zeilberger, Doron}
-\begin{chunk}{axiom.bib}
-@article{Zeil10,
-  author = "Zeilberger, Doron",
-  title = {{Against Rigor}},
-  journal = "LNCS",
-  volume = "6167",
-  year = "2010",
-  pages = "262-262",
-  abstract =
-    "The ancient Greeks gave (western) civilization quite a few
-    gifts, but we should beware of Greeks bearing gifts. The gifts of theatre
-    and democracy were definitely good ones, and perhaps even the gift of
-    philosophy, but the 'gift' of the so-called 'axiomatic method' and the
-    notion of 'rigorous' proof did much more harm than good. If we want
-    to maximize Mathematical Knowledge, and its Management, we have to
-    return to Euclid this dubious gift, and give-up our fanatical insistence
-    on perfect rigor. Of course, we should not go to the other extreme, of
-    demanding that everything should be non-rigorous. We should encourage
-    diversity of proof-styles and rigor levels, and remember that nothing is
-    absolutely sure in this world, and there does not exist an absolutely
-    rigorous proof, nor absolute certainty, and 'truth' has many shades and
-    levels.",
-  paper = "Zeil10.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Pfenning, Frank}
-\begin{chunk}{axiom.bib}
-@phdthesis{Pfen87,
-  author = "Pfenning, Frank",
-  title = {{Proof Transformations in Higher-Order Logic}},
-  year = "1987",
-  school = "Carnegie Mellon University",
-  link = "\url{http://www-cgi.cs.cmu.edu/~fp/papers/thesis87.pdf}",
-  abstract =
-    "We investigate the problem of translating between different styles of
-    proof systems in higher-order logic: analytic proofs which are well
-    suited for automated theorem proving, and non-analytic deductions
-    which are well suited for the mathematician. Analytic proofs are
-    represented as expansion proofs, $H$ , a form of the sequent calculus we
-    define, non-analytic proofs are represented by natural deductions. A
-    non-deterministic translation algorithm between expansion proofs and 
-    $H$-deductions is presented and its correctness is proven. We also
-    present an algorithm for translation in the other direction and prove
-    its correctness. A cut-elimination algorithm for expansion proofs is
-    given and its partial correctness is proven. Strong termination of
-    this algorithm remains a conjecture for the full higher-order
-    system, but is proven for the first-order fragment. We extend the
-    translations to a non-analytic proof system which contains a primitive
-    notion of equality, while leaving the notion of expansion proof
-    unaltered. This is possible, since a non-extensional equality is
-    definable in our system of type theory. Next we extend analytic and
-    non-analytic proof systems and the translations between them to
-    include extensionality.  Finally, we show how the methods and notions
-    used so far apply to the problem of translating expansion proofs into
-    natural deductions. Much care is taken to specify this translation in
-    a modular way (through tactics) which leaves a large number of choices
-    and therefore a lot of room for heuristics to produce elegant natural
-    deductions. A practically very useful extension, called symmetric
-    simplification, produces natural deductions which make use of lemmas
-    and are often much more intuitive than the normal deductions which
-    would be created by earlier algorithms.",
-  paper = "Pfen87.pdf"
-}
-
-\end{chunk}
-
-\index{Comon, Hubert}
-\begin{chunk}{axiom.bib}
-@incollection{Como01,
-  author = "Comon, Hubert",
-  title = {{Inductionless Induction}},
-  booktitle = "Handbook of Automated Reasoning",
-  comment = "Chapter 14",
-  publisher = "Elsevier",
-  year = "2001",
-  paper = "Como01.ps"
-}
-
-\end{chunk}
-
-\index{Schmitt, P.H.}
-\begin{chunk}{axiom.bib}
-@article{Schm86,
-  author = "Schmitt, P.H.}",
-  title = {{Computational Aspects of Three-Valued Logic}},
-  journal = "LNCS",
-  volume = "230",
-  year = "1986",
-  abstract =
-    "This paper investigates a three-valued logic $L_3$, that has been
-    introduced in the study of natural language semantics. A complete
-    proof system based on a three-valued analogon of negative resolution
-    is presented.  A subclass of $L_3$ corresponding to Horn clauses in
-    two-valued logic is defined. Its model theoretic properties are
-    studied and it is shown to admit a PROLOG-style proof procedure.",
-  paper = "Schm86.pdf"
-}
-
-\end{chunk}
-
-\index{Common, Hubert}
-\index{Lescanne, Pierre}
-\begin{chunk}{axiom.bib}
-@article{Como89,
-  author = "Common, Hubert and Lescanne, Pierre",
-  title = {{Equational Problems and Disunification}},
-  journal = "J. Symbolic Computation",
-  volume = "7",
-  number = "3-4",
-  year = "1989",
-  pages = "371-425",
-  abstract =
-    "Roughly speaking, an equational problem is a first order formula
-    whose only predicate symbol is $=$. We propose some rules for the
-    transformation of equational problems and study their correctness in
-    various models. Then, we give completeness results with respect to
-    some 'simple' problems called solved forms. Such completeness results
-    still hold when adding some control which moreover ensures
-    termination. The termination proofs are given for a 'weak' control and
-    thus hold for the (large) class of algorithms obtained by restricting
-    the scope of the rules. Finally, it must be noted that a by-product of
-    our method is a decision procedure for the validity in the Herbrand
-    Universe of any first order formula with the only predicate symbol $=$.",
-  paper = "Como89.pdf"
-}  
-
-\end{chunk}
-
-\index{Jones, Simon > Peyton}
-\begin{chunk}{axiom.bib}
-@inproceedings{Jone96,
-  author = "Jones, Simon > Peyton",
-  title = {{Compiling Haskell by Program Transformation: A Report from
-            the Trenches}},
-  booktitle = "Proc. European Symposium on Programming",
-  year = "1996",
-  publisher = "Eurographics",
-  abstract =
-    "Many compilers do some of their work by means of
-    correctness-preseving, and hopefully performance-improving, program
-    transformations. The Glasgow Haskell Compiler (GHC) takes this idea
-    of 'compilation by transformation' as its war-cry, trying to express
-    as much as possible of the compilation process in the form of
-    program transformations.
-
-    This paper reports on our practical experience of the
-    transformational approach to compilation, in the context of a
-    substantial compiler.",
-  paper = "Jone96.pdf"
-}
-
-\end{chunk}
-
-\index{Hanus, Michael}
-\begin{chunk}{axiom.bib}
-@article{Hanu90,
-  author = "Hanus, Michael",
-  title = {{Compiling Logic Programs with Equality}},
-  journal = "LNCS",
-  volume = "456",
-  year = "1990",
-  pages = "387-401",
-  abstract =
-    "Horn clause logic with equality is an amalgamation of functional and
-    logic programming languages. A sound and complete operational
-    semantics for logic programs with equality is based on resolution to
-    solve literals, and rewriting and narrowing to evaluate functional
-    expressions. This paper proposes a technique for compiling programs
-    with these inference rules into programs of a low-level abstract
-    machine which can be efficiently executed on conventional
-    architectures. The presented approach is based on an extension of the
-    Warren abstract machine (WAM). In our approach pure logic programs
-    without function definitions are compiled in the same way as in the
-    WAM-approach, and for logic programs with function definitions
-    particular instructions are generated for occurrences of functions
-    inside clause bodies. In order to obtain an efficient implementation
-    of functional computations, a stack of occurrences of function symbols
-    in goals is managed by the abstract machine. The compiler generates
-    the necessary instructions for the efficient manipulation of the
-    occurrence stack from the given equational logic programs.",
-  paper = "Hanu90.pdf"
-}
-
-\end{chunk}
-
-\index{Ballerin, Clemens}
-\begin{chunk}{axiom.bib}
-@phdthesis{Ball99a,
-  author = "Ballerin, Clemens",
-  title = {{Computer Algebra and Theorem Proving}},
-  school = "Darwin College, University of Cambridge",
-  year = "1999",
-  abstract =
-    "Is the use of computer algebra technology beneficial for
-    mechanised reasoining in and about mathematical domains? Usually
-    it is assumed that it is. Many works in this area, however, either
-    have little reasoning conent, or use symbolic computation only to
-    simplify expressions. In work that has achieved more, the used
-    methods do not scale up. They trust the computer algebra system
-    either too much or too little.
-
-    Computer algebra systems are not as rigorous as many provers. They
-    are not logically sound reasoning systems, but collections of
-    algorithms. We classify soundness problems that occur in computer
-    algebra systems. While many algorithms and their implementations
-    are perfectly trustworthy, the semantics of symbols is often
-    unclear and leads to errors. On the other hand, more robust
-    approaches to interface external reasoners to provers are not
-    always practical because the mathematical depth of proofs
-    algorithms in computer algebra are based on can be enormous.
-
-    Our own approach takes both trustworthiness of the overall system
-    and efficiency into account. It relies on using only reliable
-    parts of a computer algebra system, which can be achieved by
-    choosing a suitable library, and deriving specifications for these
-    algorithms from their literature.
-
-    We design and implement an interface between the prover Isabelle
-    and the computer algebra library Sumit and use it to prove
-    non-trivial theorems from coding theory. This is based on the
-    mechanisation of the algebraic theories of rings and
-    polynomials. Coding theory is an area where proofs do have a
-    substantial amount of computational content. Also, it is realistic
-    to assume that the verification of an encoding or decoding device
-    could be undertaken in, and indeed, be simplified by, such a
-    system. 
-
-    The reason why semantics of symbols is often unclear in current
-    computer algebra systems is not mathematical difficulty, but the
-    design of those systems. For Gaussian elimination we show how the
-    soundness problem can be fixed by a small extension, and without
-    losing efficiency. This is a prerequisite for the efficient use of
-    the algorithm in a prover.",
-  paper = "Ball99a.pdf",
-  keywords = "axiomref, printed"
-}
-
-\end{chunk}
-
-\index{Nederpelt, Rob}
-\index{Geuvers, Nerman}
-\begin{chunk}{axiom.bib}
-@book{Nede14,
-  author = "Nederpelt, Rob and Geuvers, Nerman",
-  title = {{Type Theory and Formal Proof}},
-  year = "2014",
-  publisher = "Cambridge University Press",
-  isbn = "978-1-107-03650-5"
-}
-
-\end{chunk}
-
-\index{Robinson, Alan}
-\index{Voronkov, Andrei}
-\begin{chunk}{axiom.bib}
-@book{Robi01,
-  author = "Robinson, Alan and Voronkov, Andrei",
-  title = {{Handbook of Automated Reasoning (2 Volumes)}},
-  year = "2001",
-  publisher = "MIT Press",
-  isbn = "0-262-18223-8"
-}
-
-\end{chunk}
-
-\index{Barendregt, Henk}
-\index{Wiedijk, Freek}
-\begin{chunk}{axiom.bib}
-@article{Bare05,
-  author = "Barendregt, Henk and Wiedijk, Freek",
-  title = {{The Challenge of Computer Mathematics}},
-  journal = "Phil. Trans. Royal Society",
-  volume = "363",
-  pages = "2351-2375",
-  year = "2005",
-  abstract =
-    "Progress in the foundations of mathematics has made it possible to
-    formulate all thinkable mathematical concepts, algorithms and proofs
-    in one language and in an impeccable way. This is not in spite of, but
-    partially based on the famous results of Godel and Turing. In this way
-    statements are about mathematical objects and algorithms, proofs show
-    the correctness of statements and computations, and computations are
-    dealing with objects and proofs. Interactive computer systems for a
-    full integration of defining, computing and proving are based on
-    this. The human defines concepts, constructs algorithms and provides
-    proofs, while the machine checks that the definitions are well formed
-    and the proofs and computations are correct. Results formalized so far
-    demonstrate the feasibility of this ‘computer mathematics’. Also there
-    are very good applications. The challenge is to make the systems more
-    mathematician-friendly, by building libraries and tools. The eventual
-    goal is to help humans to learn, develop, communicate, referee and
-    apply mathematics.",
-  paper = "Bare05.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Klaeren, Herbert A.}
-\begin{chunk}{axiom.bib}
-@article{Klae84,
-  author = "Klaeren, Herbert A.",
-  title = {{A Constructive Method for Abstract Algebraic Software
-            Specification}},
-  journal = "Theoretical Computer Science",
-  vollume = "30",
-  year = "1984",
-  pages = "139-204",
-  abstract =
-    "A constructive method for abstract algebraic software
-    specification is presented, where the operations are not
-    implicitly specified by equations but by an explicit recursion on
-    the generating operations of an algebra characterizing the
-    underlying data structure. The underlying algebra itself may be
-    equationally specified since we cannot assume that all data
-    structures will correspond to free algebras. This implies that we
-    distinguish between generating and defined operations and that the
-    underlying algebra has a mechanism of well-founded decomposition
-    w.r.t. the generating operations. We show that the explicit
-    specification of operations using so-called structural recursive
-    schemata offers advantages over purely equational specifications,
-    especially concerning the safeness of enrichments, the ease of
-    semantics description and the separation between the underlying
-    data structure and the operations defined on it.",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Pfenning, Frank}
-\begin{chunk}{axiom.bib}
-@misc{Pfen04,
-  author = "Pfenning, Frank",
-  title = {{Automated Theorem Proving}},
-  year = "2004",
-  comment = "Draft of Spring 2004",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Coquuand, Thierry}
-\index{Huet, Gerard}
-\begin{chunk}{axiom.bib}
-@incollection{Coqu88,
-  author = "Coquuand, Thierry and Huet, Gerard",
-  title = {{The Calculus of Constructions}},
-  booktitle = "Information and Computation, Volume 76",
-  year = "1988",
-  publisher = "Academic Press",
-  paper = "Coqu88.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Okasaki, Chris}
-\begin{chunk}{axiom.bib}
-@phdthesis{Okas96,
-  author = "Okasaki, Chris",
-  title = {{Purely Functional Data Structures}},
-  school = "Carnegie Mellon University",
-  year = "1996",
-  link = "\url{}",
-  comment = "CMU-CS-96-177",
-  isbn = "978-0521663502",
-  abstract =
-    "When a C programmer needs an efficient data structure for a
-    particular problem, he or she can often simply look one up in any of
-    a number of good textbooks or handbooks.  Unfortunately, programmers
-    in functional languages such as Standard ML or Haskell do not have
-    this luxury.  Although some data structures designed for imperative
-    languages such as C can be quite easily adapted to a functional
-    setting, most cannot, usually because they depend in crucial ways on
-    assignments, which are disallowed, or at least discouraged, in
-    functional languages.  To address this imbalance, we describe several
-    techniques for designing functional data structures, and numerous
-    original data structures based on these techniques, including multiple
-    variations of lists, queues, double-ended queues, and heaps, many
-    supporting more exotic features such as random access or efficient
-    catenation.
-
-    In addition, we expose the fundamental role of lazy evaluation in
-    amortized functional data structures.  Traditional methods of
-    amortization break down when old versions of a data structure, not
-    just the most recent, are available for further processing.  This
-    property is known as persistence , and is taken for granted in
-    functional languages.  On the surface, persistence and amortization
-    appear to be incompatible, but we show how lazy evaluation can be used
-    to resolve this conflict, yielding amortized data structures that are
-    efficient even when used persistently.  Turning this relationship
-    between lazy evaluation and amortization around, the notion of
-    amortization also provides the first practical techniques for
-    analyzing the time requirements of non-trivial lazy programs.
-
-    Finally, our data structures offer numerous hints to programming
-    language designers, illustrating the utility of combining strict and
-    lazy evaluation in a single language, and providing non-trivial
-    examples using polymorphic recursion and higher-order, recursive
-    modules.",
-  paper = "Okas96.pdf"
-}
-
-\end{chunk}
-
-\index{Letouzey, Pierre}
-\begin{chunk}{axiom.bib}
-@inproceedings{Leto04,
-  author = "Letouzey, Pierre",
-  title = {{A New Extraction for Coq}},
-  booktitle = "Types for Proofs and Programs. TYPES 2002",
-  publisher = "Springer",
-  pages = "617-635",
-  year = "2004",
-  abstract =
-    "We present here a new extraction mechanism for the Coq proof
-    assistant. By extraction, we mean automatic generation of
-    functional code from Coq proofs, in order to produce certified
-    programs. In former versions of Coq, the extraction mechanism
-    suffered several limitations and in particular worked only with a
-    subset of the language. We first discuss difficulties encountered
-    and solutions proposed to remove these limitations. Then we give a
-    proof of correctness for a theoretical model of the new
-    extraction. Finally we describe the actual implementation.",
-  paper = "Leto04.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Abrams, Marshall D.}
-\index{Zelkowitz, Marvin V.}
-\begin{chunk}{axiom.bib}
-@article{Abra95,
-  author = "Abrams, Marshall D. and Zelkowitz, Marvin V.",
-  title = {{Striving for Correctness}},
-  journal = "Computers and Security",
-  volume = "14",
-  year = "1995",
-  pages = "719-738",
-  paper = "Abra95.pdf"
-}
-
-\end{chunk}
-
-\index{Parnas, David L.}
-\begin{chunk}{axiom.bib}
-@article{Parn72,
-  author = "Parnas, David L.",
-  title = {{A Technique for Software Module Specification with 
-            Examples}},
-  journal = "CACM",
-  volume = "15",
-  number = "5",
-  year = "1972",
-  pages = "330-336",
-  abstract =
-    "This paper presents an approach to writing specifications for
-    parts of software systems. The main goal is to provide
-    specifications sufficiently precise and complete that other pieces
-    of software can be written to interact with the piece specified
-    without additional information. The secondary goal is to include
-    in the specification no more information than necessary to meet
-    the first goal. The technique is illustrated by means of a variety
-    of examples from a tutorial system.",
-  paper = "Parn72.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Johnson, C.W.}
-\begin{chunk}{axiom.bib}
-@article{John96,
-  author = "Johnson, C.W.",
-  title = {{Literate Specifications}},
-  journal = "Software Engineering Journal",
-  volume = "11",
-  number = "4",
-  year = "1996",
-  pages = "225-237",
-  paper = "John96.pdf",
-  abstract =
-    "The increasing scale and complexity of software is imposing serious
-    burdens on many industries. Formal notations, such as Z, VDM and
-    temporal logic, have been developed to address these problems. There
-    are, however, a number of limitations that restrict the use of
-    mathematical specifications far large-scale software development. Many
-    projects take months or years to complete. This creates difficulties
-    because abstract mathematical requirements cannot easily be used by
-    new members of a development team to understand past design
-    decisions. Formal specifications describe what software must do, they
-    do not explain why it must do it. In order to avoid these limitations,
-    a literate approach to software engineering is proposed. This
-    technique integrates a formal specification language and a semi-formal
-    design rationale.  The Z schema calculus is usecl to represent what a
-    system must do. In contrast, the Questions, Options and Criteria
-    notation is used to represent the justifications that lie behind
-    development decisions. Empirical evidence is presented that suggests
-    the integration of these techniques provides significant benefits over
-    previous approaches to mathematical analysis and design techniques. A
-    range of tools is described that have been developed to support our
-    literate approach to the specification of large-scale sohare systems.",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Finney, Kate}
-\begin{chunk}{axiom.bib}
-@article{Finn96,
-  author = "Finney, Kate",
-  title = {{Mathematical Notation in Formal Specifications: Too
-            Difficult for the Masses?}},
-  journal = "IEEE Trans. on Software Engineering",
-  volume = "22",
-  number = "2",
-  year = "1996",
-  pages = "158-159",
-  abstract =
-    "The phrase 'not much mathematics required' can imply a
-    variety of skill levels. When this phrase is applied to computer
-    scientists, software engineers, and clients in the area of formal
-    specification, the word 'much' can be widely misinterpreted with
-    disastrous consequences. A small experiment in reading
-    specifications revealed that students already trained in discrete
-    mathematics and the specification notation performed very poorly;
-    much worse than could reasonably be expected if formal methods
-    proponents are to be believed.",
-  paper = "Finn96.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Moore, Andrew P.}
-\index{Payne Jr., Charles N.}
-\begin{chunk}{axiom.bib}
-@inproceedings{Moor96,
-  author = "Moore, Andrew P. and Payne Jr., Charles N.",
-  title = {{Increasing Assurance with LIterate Programming Techniques}},
-  booktitle = "Comf. on Computer Assurance COMPASS'96",
-  publisher = "National Institute of Standards and Technology",
-  year = "1996",
-  pages = "187-198",
-  abstract =
-    "The assurance argument that a trusted system satisfies its
-    information security requirements must be convincing, because the
-    argument supports the accreditation decision to allow the computer to
-    process classified information in an operational
-    environment. Assurance is achieved through understanding, but some
-    evidence that supports the assurance argument can be difficult to
-    understand. This paper describes a novel applica- tion of a technique,
-    called literate programming [ll], that significantly improves the
-    readability of the assur- ance argument while maintaining its
-    consistency with formal specifications that are input to specification
-    and verification systems. We describe an application c,f this
-    technique to a simple example and discuss the lessons learned from
-    this effort.",
-  paper = "Moor96.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Nissanke, Nimal}
-\begin{chunk}{axiom.bib}
-@book{Niss99,
-  author = "Nissanke, Nimal",
-  title = {{Formal Specification}},
-  publisher = "Springer",
-  year = "1999",
-  isbn = "978-1-85233-002-6",
-  paper = "Niss99.pdf"
-}
-
-\end{chunk}
-
-\index{Vienneau, Robert L.}
-\begin{chunk}{axiom.bib}
-@misc{Vien93,
-  author = "Vienneau, Robert L.",
-  title = {{A Review of Formal Methods}},
-  year = "1993",
-  paper = "Vien93.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Murthy, S.G.K}
-\index{Sekharam, K. Raja}
-\begin{chunk}{axiom.bib}
-@article{Murt09,
-  author = "Murthy, S.G.K and Sekharam, K. Raja",
-  title = {{Software Reliability through Theorem Proving}},
-  journal = "Defence Science Journal",
-  volume = "59",
-  number = "3",
-  year = "2009",
-  pages = "314-317",
-  abstract =
-    "Improving software reliability of mission-critical systems is
-    widely recognised as one of the major challenges.  Early detection
-    of errors in software requirements, designs and implementation,
-    need rigorous verification and validation techniques. Several
-    techniques comprising static and dynamic testing approaches are
-    used to improve reliability of mission critical software; however
-    it is hard to balance development time and budget with software
-    reliability. Particularly using dynamic testing techniques, it is
-    hard to ensure software reliability, as exhaustive testing is not
-    possible. On the other hand, formal verification techniques
-    utilise mathematical logic to prove correctness of the software
-    based on given specifications, which in turn improves the
-    reliability of the software.  Theorem proving is a powerful formal
-    verification technique that enhances the software reliability for
-    mission- critical aerospace applications. This paper discusses the
-    issues related to software reliability and theorem proving used to
-    enhance software reliability through formal verification
-    technique, based on the experiences with STeP tool, using the
-    conventional and internationally accepted methodologies, models,
-    theorem proving techniques available in the tool without proposing
-    a new model.",
-  paper = "Murt09.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Paulson, Lawrence C.}
-\begin{chunk}{axiom.bib}
-@incollection{Paul90a,
-  author = "Paulson, Lawrence C.",
-  title = {{Isabelle: The Next 700 Theorem Provers}},
-  booktitle = "Logic and Computer Science",
-  publisher = "Academic Press",
-  pages = "361-386",
-  year = "1990",
-  paper = "Paul90a.pdf"
-}
-
-\end{chunk}
-
-\index{Beeson, M.}
-\begin{chunk}{axiom.bib}
-@article{Bees16,
-  author = "Beeson, M.",
-  title = {{Mixing Computations and Proofs}},
-  journal = "J. of Formalized Reasoning",
-  volume = "9",
-  number = "1",
-  pages = "71-99",
-  year = "2016",
-  abstract =
-    "We examine the relationship between proof and computation in
-    mathematics, especially in formalized mathematics.  We compare the
-    various approaches to proofs with a significant computational
-    component, including (i) verifying the algorithms, (ii) verifying the
-    results of the unverified algo- rithms, and (iii) trusting an external
-    computation.",
-  paper = "Bees16.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Beeson, Michael}
-\begin{chunk}{axiom.bib}
-@misc{Bees14,
-  author = "Beeson, M.",
-  title = {{Mixing Computations and Proofs}},
-  comment = "slides",
-  year = "2014",
-  link = "\url{http://www.cs.ru.nl/qed20/slides/beeson-qed20.pdf}",
-  paper = "Bees14.pdf"
-}
-
-\end{chunk}
-
-\index{Gunter, Elsa L.}
-\begin{chunk}{axiom.bib}
-@inproceedings{Gunt89a,
-  author = "Gunter, Elsa L.",
-  booktitle = "Int. Workshop on Extensions of Logic Programming",
-  publisher = "Springer",
-  year = "1989",
-  pages = "223-244",
-  abstract =
-    "In this article, we discuss several possible extensions to
-    traditional logic programming languages. The specific extensions
-    proposed here fall into two categories: logical extensions and the
-    addition of constructs to allow for increased control.  There is a
-    unifying theme to the proposed logical extensions, and that is the
-    scoped introduction of extensions to a programming context. More
-    specifically, these extensions are the ability to introduce variables
-    whose scope is limited to the term in which they occur (i.e. A-bound
-    variables within A-terms), the ability to intro~iuce into a goal a
-    fresh constant whose scope is limited to the derivation of that goal,
-    and the ability to introduce into a goal a program clause whose scope
-    is limited to the derivation of that goal. The purpose of the
-    additions for increased control is to facilitate the raising and
-    handling of failures.
-    
-    To motivate these various extensions, we have repeatedly appealed to
-    examples related to the construction of a generic theorem prover. It
-    is our thesis that this problem domain is specific enough to lend
-    focus when one is considering various language constructs, and yet
-    complex enough to encompass many of the general difficulties found in
-    other areas of symbolic computation.",
-  paper = "Gunt89a.pdf"
-}
-
-\end{chunk}
-
-\index{Paulson, Lawrence C.}
-\index{Smith, Andrew W.}
-\begin{chunk}{axiom.bib}
-@inproceedings{Paul89,
-  author = "Paulson, Lawrence C. and Smith, Andrew W.",
-  title = {{Logic Programming, Functional Programming, and 
-            Inductive Definitions}},
-  booktitle = "Int. Workshop on Extensions of Logic Programming",
-  publisher = "Springer",
-  year = "1989",
-  pages = "283-309",
-  abstract =
-    "The unification of logic and functional programming, like the Holy
-    Grail, is sought by countless people [6, 14]. In reporting our
-    attempt, we first discuss the motivation. We argue that logic
-    programming is still immature, compared with functional programming,
-    because few logic programs are both useful and pure.  Functions can
-    help to purify logic programming, for they can eliminate certain uses
-    of the cut and can express certMn negations positively.
-
-    More generally, we suggest that the traditional paradigm -- logic
-    programming as first-order logic -- is seriously out of step with
-    practice. We offer an alternative paradigm. We view the logic program
-    as an inductive definition of sets and relations. This view explains
-    certain uses of Negation as Failure, and explains why most attempts to
-    extend PROLO G to larger fragments of first-order logic have not been
-    successful. It suggests a logic language with functions, 
-    incorporating equational unification.
-
-    We have implemented a prototype of this language. It is very slow,
-    but complete, and appear to be faster than some earlier
-    implementations of narrowing.  Our experiments illustrate the
-    programming style and shed light on the further development of such
-    languages.",
-  paper = "Paul89.pdf"
-}
-
-\end{chunk}
-
-\index{Weirich, Jim}
-\begin{chunk}{axiom.bib}
-@misc{Weir12,
-  author = "Weirich, Jim",
-  title = {{Y Not? -- Adventures in Functional Programming}},
-  year = "2012",
-  link = "\url{https://www.infoq.com/presentations/Y-Combinator}",
-  abstract = "Explains the Y-Combinator"
-}
-
-\end{chunk}
-
-\index{Beeson, Michael}
-\begin{chunk}{axiom.bib}
-@article{Bees06,
-  author = "Beeson, Michael",
-  title = {{Mathematical Induction in Otter-Lambda}},
-  journal = "J. Automated Reasoning",
-  volume = "36",
-  number = "4",
-  pages = "311'344",
-  abstract =
-    "Otter-lambda is Otter modified by adding code to implement an
-    algorithm for lambda unification. Otter is a resolution-based,
-    clause-language first-order prover that accumulates deduced clauses
-    and uses strategies to control the deduction and retention of
-    clauses. This is the first time that such a first-order prover has
-    been combined in one program with a unification algorithm capable of
-    instantiating variables to lambda terms to assist in the
-    deductions. The resulting prover has all the advantages of the
-    proof-search algorithm of Otter (speed, variety of inference rules,
-    excellent handling of equality) and also the power of lambda
-    unification. We illustrate how these capabilities work well together
-    by using Otter-lambda to find proofs by mathematical induction. Lambda
-    unification instantiates the induction schema to find a useful
-    instance of induction, and then Otter's first-order reasoning can be
-    used to carry out the base case and induction step. If necessary,
-    induction can be used for those, too. We present and discuss a variety
-    of examples of inductive proofs found by Otter-lambda: some in pure
-    Peano arithmetic, some in Peano arithmetic with defined predicates,
-    some in theories combining algebra and the natural numbers, some
-    involving algebraic simplification (used in the induction step) by
-    simplification code from MathXpert, and some involving list induction
-    instead of numerical induction. These examples demonstrate the
-    feasibility and usefulness of adding lambda unification to a
-    first-order prover.",
-  papers = "Bees06.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Barendregt, Henk}
-\index{Barendsen, Erik}
-\begin{chunk}{axiom.bib}
-@article{Bare02,
-  author = "Barendregt, Henk and Barendsen, Erik",
-  title = {{Autorkic Computations in Formal Proofs}},
-  journal = "J. Automated Reasoning",
-  volume = "28",
-  pages = "321-336",
-  year = "2002",
-  abstract =
-    "Formal proofs in mathematics and computer science are being studied
-    because these objects can be verified by a very simple computer
-    program. An important open problem is whether these formal proofs can
-    be generated with an effort not much greater than writing a
-    mathematical paper in, say, LATEX. Modern systems for proof
-    development make the formalization of reasoning relatively
-    easy. However, formalizing computations in such a manner that the
-    results can be used in formal proofs is not immediate. In this paper
-    we show how to obtain formal proofs of statements such as Prime(61) in
-    the context of Peano arithmetic or $(x + 1)(x + 1) = x 2 + 2x + 1$ in
-    the context of rings. We hope that the method will help bridge the gap
-    between the efficient systems of computer algebra and the reliable
-    systems of proof development.",
-  paper = "Bare02.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Beeson, Michael}
-\begin{chunk}{axiom.bib}
-@article{Bees95,
-  author = "Beeson, Michael",
-  title = {{Using Nonstandard Analysis to Ensure the Correctness of
-            Symbolic Computations}},
-  journal = "Int. J. of Foundations of Computer Science",
-  volume = "6",
-  number = "3",
-  pages = "299-338",
-  year = "1995",
-  abstract =
-    "Nonstandard analysis has been put to use in a theorem-prover,
-    where it assists in the analysis of formulae involving limits. The
-    theorem-prover in question is used in the computer program
-    Mathpert to ensure the correctness of calculations in
-    calculus. Although non-standard analysis is widely viewed as
-    non-constructive, it can alternately be viewed as a method of
-    reducing logical manipulation (of formulae with quantifiers) to
-    coputation (with rewrite rules). We give a logical theory of
-    nonstandard analysis which is implemented in Mathpert. We describe
-    a procedure for 'elimination of infinitesimals' (also implemented
-    in Mathpert) and prove its correctness.",
-  paper = "Bees95.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Beeson, Michael}
-\index{Wiedijk, Freek}
-\begin{chunk}{axiom.bib}
-@article{Bees02,
-  author = "Beeson, Michael and Wiedijk, Freek",
-  title = {{The Meaning of Infinity in Calculus and Computer Algebra
-            Systems}},
-  journal = "LNCS",
-  volume = "2385",
-  year = "2002",
-  abstract =
-    "We use filters of open sets to provide a semantics justifying the
-    use of infinity in informal limit calculations in calculus, and in
-    the same kind of calculations in computer algebra. We compare the
-    behavior of these filters to the way Mathematica behaves when
-    calculating with infinity.
-
-    We stress the need to have a proper semantics for computer algebra
-    expressions, especially if one wants to use results and methods
-    from computer algebra in theorem provers. The computer algebra
-    method under discussion in this paper is the use of rewrite rules
-    to evaluate limits involving infinity.",
-  paper = "Bees02.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Zimmer, Jurgen}
-\index{Dennis, Louise A.}
-\begin{chunk}{axiom.bib}
-@article{Zimm02,
-  author = "Zimmer, Jurgen and Dennis, Louise A.",
-  title = {{Inductive Theorem Proving and Computer Algebra in the
-            MathWeb Software Bus}},
-  journal = "LNCS",
-  volume = "2385",
-  year = "2002",
-  abstract =
-    "Reasoning systems have reached a high degree of maturity in the last
-    decade. However, even the most successful systems are usually not
-    general purpose problem solvers but are typically specialised on 
-    problems in a certain domain. The MathWeb Software Bus (MathWeb-SB) is a
-    system for combining reasoning specialists via a common software bus.
-    We describe the integration of the $\lambda$-Clam system, a reasoning
-    specialist for proofs by induction, into the MathWeb-SB. Due to this
-    integration, $\lambda$-Clam now offers its theorem proving expertise 
-    to other systems in the MathWeb-SB. On the other hand,
-    $\lambda$-Clam can use the
-    services of any reasoning specialist already integrated. We focus on
-    the latter and describe first experiments on proving theorems by
-    induction using the computational power of the Maple system within
-    $\lambda$-Clam.",
-  paper = "Zimm02.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Campbell, J.A.}
-\begin{chunk}{axiom.bib}
-@article{Camp02,
-  author = "Campbell, J.A.",
-  title = {{Indefinite Integration as a Testbed for Developments in
-            Multi-agent Systems}},
-  journal = "LNCS",
-  volume = "2385",
-  year = "2002",
-  abstract =
-    "Coordination of multiple autonomous agents to solve problems that
-    require each of them to contribute their limited expertise in the
-    construction of a solution is often ensured by the use of numerical
-    methods such as vote-counting, payoff functions, game theory and 
-    economic criteria. In areas where there are no obvious numerical methods
-    for agents to use in assessing other agents’ contributions, many 
-    questions still remain open for research. The paper reports a study of
-    one such area: heuristic indefinite integration in terms of agents with
-    different single heuristic abilities which must cooperate in finding
-    indefinite integrals. It examines the reasons for successes and lack
-    of success in performance, and draws some general conclusions about
-    the usefulness of indefinite integration as a field for realistic
-    tests of methods for multi-agent systems where the usefulness of
-    'economic' criteria is limited. In this connection, the role of
-    numerical taxonomy is emphasised.",
-  paper = "Camp02.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Wiedijk, Freek}
-\begin{chunk}{axiom.bib}
-@misc{Wied18,
-  author = "Wiedijk, Freek",
-  title = {{Formaizing 100 Theorems}},
-  link = "\url{http://www.cs.ru.nl/~freek/100/}",
-  year = "2018"
-}
-
-\end{chunk}
-
-\index{Wiedijk, Freek}
-\begin{chunk}{axiom.bib}
-@misc{Wied08,
-  author = "Wiedijk, Freek",
-  title = {{Formai Proof -- Geting Started}},
-  link = "\url{https://www.ams.org/notices/200811/tx081101408p.pdf}",
-  year = "2008",
-  paper = "Wied08.pdf"
-}
-
-\end{chunk}
-
-\index{Kaliszyk, Cezary}
-\begin{chunk}{axiom.bib}
-@article{Kali08,
-  author = "Kaliszyk, Cezary",
-  title = {{Automating Side Conditions in Formalized Partial Functions}},
-  journal = "LNCS",
-  volume = "5144",
-  year = "2008",
-  abstract =
-    "Assumptions about the domains of partial functions are necessary in
-    state-of-the-art proof assistants. On the other hand when
-    mathematicians write about partial functions they tend not to
-    explicitly write the side conditions. We present an approach to
-    formalizing partiality in real and complex analysis in total
-    frameworks that allows keeping the side conditions hidden from the
-    user as long as they can be computed and simplified
-    automatically. This framework simplifies defining and operating on
-    partial functions in formalized real analysis in HOL Light. Our
-    framework allows simplifying expressions under partiality conditions
-    in a proof assistant in a manner that resembles computer algebra
-    systems.", 
-  paper = "Kali08.pdf"
-}
-
-\end{chunk}
-
-
-\index{Kaliszyk, Cezary}
-\index{Wiedijk, Freek}
-\begin{chunk}{axiom.bib}
-@article{Kali08a,
-  author = "Kaliszyk, Cezary and Wiedijk, Freek",
-  title = {{Merging Procedural and Declarative Proof}},
-  journal = "LNCS",
-  volume = "5497",
-  year = "2008",
-  abstract =
-    "There are two different styles for writing natural deduction proofs:
-    the 'Gentzen' style in which a proof is a tree with the conclusion at
-    the root and the assumptions at the leaves, and the 'Fitch' style
-    (also called ‘flag’ style) in which a proof consists of lines that are
-    grouped together in nested boxes.  
-    
-    In the world of proof assistants these two kinds of natural deduction
-    correspond to procedural proofs (tactic scripts that work on one or
-    more subgoals, like those of the Coq, HOL and PVS systems), and
-    declarative proofs (like those of the Mizar and Isabelle/Isar
-    languages).  
-    
-    In this paper we give an algorithm for converting tree style proofs to
-    flag style proofs. We then present a rewrite system that simplifies
-    the results.  
-    
-    This algorithm can be used to convert arbitrary procedural proofs to
-    declarative proofs. It does not work on the level of the proof terms
-    (the basic inferences of the system), but on the level of the
-    statements that the user sees in the goals when constructing the
-    proof.  
-    
-    The algorithm from this paper has been implemented in the ProofWeb
-    interface to Coq. In ProofWeb a proof that is given as a Coq proof
-    script (even with arbitrary Coq tactics) can be displayed both as a
-    tree style and as a flag style proof.",
-  paper = "Kali08a.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Akbarpour, Behzad}
-\index{Paulson, Lawrence C.}
-\begin{chunk}{axiom.bib}
-@article{Akba08a,
-  author = "Akbarpour, Behzad and Paulson, Lawrence C.",
-  title = {{MetiTarski: An Automatic Prover for the Elementary Functions}},
-  journal = "LNCS",
-  volume = "5144",
-  year = "2008",
-  abstract = 
-    "Many inequalities involving the functions ln, exp, sin, cos, etc.,
-    can be proved automatically by MetiTarski: a resolution theorem prover
-    (Metis) modified to call a decision procedure (QEPCAD) for the theory
-    of real closed fields. The decision procedure simplifies clauses by
-    deleting literals that are inconsistent with other algebraic facts,
-    while deleting as redundant clauses that follow algebraically from
-    other clauses.  MetiTarski includes special code to simplify
-    arithmetic expressions.",
-  paper = "Akba08a.pdf"
-}
-
-\end{chunk}
-
-\index{Cramer, Marcos}
-\begin{chunk}{axiom.bib}
-@misc{Cram14,
-  author = "Cramer, Marcos",
-  title = {{Modelling the usage of partial functions and undefined
-            terms using presupposition theory}},
-  year = "2014",
-  isbn = "978-1-84890-130-8",
-  publisher = "College Publications",
-  pages = "71-88",
-  abstract =
-    "We describe how the linguistic theory of presuppositions can be used
-    to analyse and model the usage of partial functions and undefined
-    terms in mathematical texts. We compare our account to other accounts
-    of partial functions and undefined terms, showing how our account
-    models the actual usage of partial functions and undefined terms more
-    faithfully than existing accounts. The model described in this paper
-    has been developed for the Naproche system, a computer system for
-    proof-checking mathematical texts written in controlled natural
-    language, and has largely been implemented in this system.",
-  paper = "Cram14.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Freundt, Sebastian}
-\index{Horn, Peter}
-\index{Konovalov, Alexander}
-\index{Linton, Steve}
-\index{Roozemond, Dan}
-\begin{chunk}{axiom.bib}
-@article{Freu08,
-  author = "Freundt, Sebastian and Horn, Peter and Konovalov, Alexander
-            and Linton, Steve and Roozemond, Dan",
-  title = {{Symbolic Computation Software Composability}},
-  journal = "LNCS",
-  volume = "5144",
-  year = "2008",
-  abstract =
-    "We present three examples of the composition of Computer Algebra
-    Systems to illustrate the progress on a composability infrastructure
-    as part of the SCIEnce (Symbolic Computation Infrastructure for
-    Europe) project 1 . One of the major results of the project so far is
-    an OpenMath based protocol called SCSCP (Symbolic Computation Software
-    Composability Protocol). SCSCP enables the various software packages
-    for example to exchange mathematical objects, request calcula- tions,
-    and store and retrieve remote objects, either locally or accross the
-    internet. The three examples show the current state of the GAP, KANT,
-    and MuPAD software packages, and give a demonstration of exposing
-    Macaulay using a newly developed framework.",
-  paper = "Freu08.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}
-
-\index{Kozen, Dexter}
-\index{Palsberg, Jens}
-\index{Schwartzbach, Michael I.}
-\begin{chunk}{axiom.bib}
-@article{Koze93,
-  author = "Kozen, Dexter and Palsberg, Jens and Schwartzbach, Michael I.",
-  title = {{Efficient Recursive Subtyping}},
-  journal = "Mathematical Structures in Computer Science",
-  volume = "5",
-  number = "1",
-  pages = "113-125",
-  year = "1995",
-  abstract =
-    "Subtyping in the presence of recursive types for the
-    $\lambda$-calculus was studied by Amadio and Cardelli in 1991. In that
-    paper they showed that the problem of deciding whether one recursive
-    type is a subtype of another is decidable in exponential time.  In
-    this paper we give an $O(n^2)$ algorithm.  Our algorithm is based on a
-    simplification of the definition of the subtype relation, which allows
-    us to reduce the problem to the emptiness problem for a certain finite
-    automaton with quadratically many states.  It is known that equality
-    of recursive types and the covariant B̈ohm order can be decided
-    efficiently by means of finite automata, since they are just language
-    equality and language inclusion, respectively.  Our results extend the
-    automata-theoretic approach to handle orderings based on
-    contravariance.",
-  paper = "Koze93.pdf"
-}
-
-\end{chunk}
-
-\index{Martelli, Alberto}
-\index{Montanari, Ugo}
-\begin{chunk}{axiom.bib}
-@article{Mart82,
-  author = "Martelli, Alberto and Montanari, Ugo",
-  title = {{An Efficient Unification Algorithm}},
-  journal = "ACM TOPLAS",
-  volume = "4",
-  number = "2",
-  pages = "258-282",
-  year = "1982",
-  abstract =
-    "The unification problem in first-order predicate calculus is
-    described in general terms as the solution of a system of equations,
-    and a nondeterministic algorithm is given.  A new unification
-    algorithm, characterized by having the acyclicity test efficiently
-    embedded into it, is derived from the nondeterministic one, and a
-    PASCAL implementation is given.  A comparison with other well-known
-    unification algorithms shows that the algorithm described here
-    performs well in all cases.",
-  paper = "Mart82.pdf"
-}
-
-\end{chunk}
-
-\index{Pottier, Francois}
-\begin{chunk}{axiom.bib}
-@phdthesis{Pott98,
-  author = "Pottier, Francois",
-  title = {{Type Inference in the Presence of Subtyping: From Theory
-            to Practice}},
-  school = "Universite Paris 7",
-  year = "1988",
-  comment = "INRIA Research Report RR-3483",
-  abstract =
-    "From a purely theoretical point of view, type inference for a
-    functional language with parametric polymorphism and subtyping
-    poses little difficulty. Indeed, it suffices to generalize the
-    inference algorithm used in the ML language, so as to deal with
-    type inequalities, rather than equalities. However, the number of
-    such inequalities is linear in the program size -- whence, from a
-    practical point of view, a serious efficiency and readability
-    problem. 
-
-    To solve this problem, one must simplify the inferred
-    constraints. So, after studying the logical properties of
-    subtyping constraints, this work proposes several simplifcation
-    algorithms. They combine seamlessly, yielding a homogeneous, fully
-    formal framework, which directly leads to an efficient
-    implementation. Although this theoretical study is performed in a
-    simplified setting, numerous extensions are possible. Thus, this
-    framework is realistic and should allow a practical appearance of
-    subtyping in languages with type inference.",
-  paper = "Pott98.pdf"
-}
-
-\end{chunk}
-
-\index{McCarthy, John}
-\begin{chunk}{axiom.bib}
-@article{Mcca60,
-  author = "McCarthy, John",
-  title = {{Recursive Functions of Symbolic Expressions and Their
-            Computation by Machine, Part I}},
-  journal = "CACM",
-  volume = "3",
-  pages = "184-195",
-  year = "1960",
-  paper = "Mcca60.pdf",
-  keywords = "printed"
-}
-
-\end{chunk}  
-
-\index{Barendregt, Henk}
-\begin{chunk}{axiom.bib}
-@incollection{Bare92,
-  author = "Barendregt, Henk",
-  title = {{Lambda Calculi with Types}},
-  booktitle = "Handbook of Logic in Computer Science (vol 2)",
-  publisher = "Oxford University Press",
-  year = "1992",
-  paper = "Bare92.pdf"
-}
-
-\end{chunk}
-
-\index{Church, Alonzo}
-\begin{chunk}{axiom.bib}
-@article{Chur28,
-  author = "Church, Alonzo",
-  title = {{On the Law of the Excluded Middle}},
-  journal = "Bull. of the American Mathematical Society",
-  volume = "34",
-  number = "1",
-  pages = "75-78",
-  year = "1928",
-  paper = "Chur28.pdf"
-}
-
-\end{chunk}
-
-\index{Mitchell, John}
-\begin{chunk}{axiom.bib}
-@inproceedings{Mitc84
-  author = "Mitchell, John",
-  title = {{Type Inference and Type Containment}},
-  booktitle = "Proc. Int. Symp. on Semantics of Data Types",
-  publisher = "Springer",
-  isbn = "3-540-13346-1",
-  year = "1984"
-  pages = "257-277",
-  abstract =
-    "Type inference, the process of assigning types to untyped
-    expressions, may be motivated by the design of a typed language or
-    semantical considerations on the meeaaings of types and expressions.
-    A typed language GR with polymorphic functions leads to the GR
-    inference rules. With the addition of an 'oracle' rule for equations
-    between expressions, the GR rules become complete for a general class
-    of semantic models of type inference. These inference models are
-    models of untyped lambda calculus with extra structure similar to
-    models of the typed language GR. A more specialized set of type
-    inference rules, the GRS rules, characterize semantic typing when the
-    functional type $a~$ , is interpreted as all elements of the model that
-    map a to $~r$ and the polymorphic type $Vt,~0$ is interpreted as the
-    intersection of all $o'(r)$. Both inference systems may be reformulated
-    using rules for deducing containments between types. The advantage of
-    the type inference rules based on containments is thatproofs
-    correspond more closely to the structure of terms.",
-  paper = "Mitc84.pdf"
-}
-
-\end{chunk}
-
-\index{Griesmer, James}
-\begin{chunk}{axiom.bib}
-@artcile{Grie11,
-  author = "Griesmer, James",
-  title = {{James Griesmer 1929--2011}},
-  journal = "ACM Communications in Computer Algebra",
-  volume = "46",
-  number = "1/2",
-  year = "2012",
-  pages = "10-11",
-  comment = "Obituary",
-  paper = "Grie11.pdf"
-}
-
-\end{chunk}
-
-\index{Daly, Timothy}
-\index{Kastner, John}
-\index{Mays, Eric}
-\begin{chunk}{axiom.bib}
-@inproceedings{Daly88,
-  author = "Daly, Timothy and Kastner, John and Mays, Eric",
-  title = {{Integrating Rules and Inheritance Networks in a Knowlege-based
-            Financial Marketing Consutation System}},
-  booktitle = "Proc. HICSS 21",
-  volume = "3",
-  number = "5-8",
-  pages = "496-500",
-  year = "1988",
-  comment = "KROPS",
-  abstract =
-    "This paper describes the integrated use of rule-bascd inference and
-    an object-centered knowledge representation (inheritance network) in a
-    financial marketing consultation system. The rules provide a highly
-    flexible pattern match capability and inference cycle for control. The
-    inheritance network provides a convenient way to represent the
-    conceptual structure of the domain. By merging the two techniques, our
-    financial computation can he shared at the most general level, and
-    rule inference is carried out at any appropriate Ievel of
-    generalization.  Since domain knowledge is representcd independently
-    from control knowledge, knowledge ahout a particular problcm solving
-    technique is decoupled from the conditions for its invocation. A Iarge
-    financial marketing system has been built and examples are given to
-    show our combined use of rules and inheritance networks.",
-  paper = "Daly88.pdf"
-}  
-
-\end{chunk}
+Goal: 
diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html
index 3569308..dbadb4f 100644
--- a/src/axiom-website/patches.html
+++ b/src/axiom-website/patches.html
@@ -5932,6 +5932,8 @@ books/breakurl.sty latex package to break long URLs<br/>
 books/bookvolbib add references<br/>
 <a href="patches/20180606.01.tpd.patch">20180606.01.tpd.patch</a>
 books/bookvolbib add references<br/>
+<a href="patches/20180606.02.tpd.patch">20180606.02.tpd.patch</a>
+books/bookvol0 add Griesmer Obituary<br/>
  </body>
 </html>
 
-- 
1.9.1

