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		<H2>Michael Beeson </H2>
		<font size="5"><b>Publications in Automated Deduction </b></font>
		<P>Numbers in the following list are not consecutive because they are the same as in the <A HREF="pubs.html"><I>List of All Publications</I></A><VAR> </P>
		<P>26. Computerizing Mathematics: Logic and Computation, in: <I>The Universal Turing Machine: A Half-Century Survey</I>}, edited by Herken, R., Oxford University Press (1988). Second Edition, Springer-Verlag, Berlin/ Heidelberg/ New York (1994) </P>
		<P>30. Logic and computation in <I>Mathpert</I>: An expert system for learning mathematics, in: Kaltofen and Watt (eds.), <I>Computers and Mathematics '89</I>, pp. 202-214, Springer-Verlag, New York/ Heidelberg/ Berlin (1989). </P>
<P>32. Some applications of Gentzen's proof theory to automated deduction, in P. Schroeder-Heister (ed.), <I>Extensions of Logic Programming</I>, Lecture Notes in Computer Science <B>475</B>, pp. 101-156, Springer-Verlag (1991). </P>
<P>34. <I>Mathpert</I>: Computer support for learning algebra, trigonometry, and calculus, in: A. Voronkov (ed.), <I>Logic Programming and Automated Reasoning</I>, Lecture Notes in Computer Science <B>624</B>,Springer-Verlag (1992). </P>
<P>36. Using nonstandard analysis to verify the correctness of computations, <I>International Journal of Foundations of Computer Science</I>, Vol. 6, No. 3 (1995) 299-338. 
<BR><A HREF="nsappt.dvi"> nsappt.dvi (156 kb, 40 pp.)</A>
  <BR>
  <A HREF="nsappt.ps">nsappt.ps (3.2 mb, 40 pp.)</A> 
  <BR>
<A HREF="nsappt.ps.gz">nsappt.ps.gz (663 kb)</A> </P>
<P>42. Unification in lambda calculus with if-then-else, in <I>Proceedings of the Fifteenth Conference on Automated Deduction (CADE-15)</I>, pp. 96-111, Springer-Verlag (1998).
<BR> <A HREF="unifyAbstract.html">Abstract </A>. 
<BR> <A HREF="unify.ps">unify.ps (1.1 mb)</A>  
<BR> <A HREF="unify.ps.gz">unify.ps.gz (0.9 mb)</A></P>
<P>43. Automatic generation of epsilon-delta proofs of continuity, in: Calment, J., and Plaza, J. (eds.), <I>Artificial Intelligence and Symbolic Computation</I>, Lecture Notes in Artificial Intelligence <B>1476</B>, pp. 67-83, Springer-Verlag, Berlin/Heidelberg/New York(1998).
<BR> <A HREF="aisc.ps">aisc.ps (1.4 mb, 17 pp.)</A> 
<BR> <A HREF="aisc.ps.gz">aisc.ps.gz (0.7mb, 17 pp.)</A>
<BR> <A HREF="aisc.pdf">aisc.pdf (0.8mb, 17 pp.)</A></p>
		<P>44. Automatic generation of a proof of the irrationality of e, in Armando, A., and Jebelean, T. (eds.):
 <I>Proceedings of the Calculumus Workshop, 1999,<A HREF="http://www.elsevier.nl/locate/entcs">Electronic Notes in Theoretical Computer Science</A>
 </I> <B> 23</B> 3, 2000.  Elsevier, 1999. This paper has also been accepted for
publication in a special issue of <I>Journal of Symbolic Computation</I> which should
appear in the very near future.
<BR> <A HREF="JSCVersion.pdf">JSCVersion.pdf (0.9 mb, 19 pp.)</A>
<BR> <A HREF="JSCVersion.dvi">   JSCVersion.dvi (70 kb, 19 pp.)</A>
<BR> <A HREF="JSCVersion.ps">  JSCVersion.ps (1.7 mb, 19 pp.)</A><BR>
		<p>45. A second-order theorem prover applied to circumscription, in: Gor�, R., Leitsch, A., and Nipkow, T. (eds.), <i>Automated Reasoning, First International Joint Conference, IJCAR 2001, Siena, Italy, June 2001, Proceedings,</i> Lecture Notes in Artificial Intelligence 2083, Springer-Verlag (2001). This version available for download here is longer than the published version, and contains the complete computer-generated proof which is the subject of the paper.<br>
			<a href="circumscription.dvi">dvi (46kb, 16 pages)</a><br>
			<a href="circumscription.ps">ps (0.8 mb, 16 pages)</a><br>
			<a href="circumscription.pdf">pdf (0.4 mb, 16 pages)</a></p>
		<p>50. Double negation elimination in some propositional logics (with Robert Veroff and Larry Wos), unpublished.<br>
			<a href="wos3.dvi">dvi (86kb, 25 pages)</a>.<br>
			<a href="wos3.pdf">pdf(506kb, 25 pages)</a></p>
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