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Theorem Proving for Verification
Theorem Proving for Verification the Early Days J Strother Moore Department of Computer Sciences University of Texas at Austin 1 Prologue When I look at the state of our science today, I am amazed and proud of how far we've come and what is routinely possible today with mechanized verification. But how did we get here? 2 A personal perspective on the journey University of Xerox PARC Edinburgh & SRI ’74−81 ’70−73 UT Austin MIT & CLI ’66−70 Dickinson, Texas −, 1966 3 Hope Park Square, Edinburgh, 1970 4 Hope Park Square, Edinburgh, 1970 Rod Burstall Donald Michie Bernard Meltzer Bob Kowalski Pat Hayes 5 Hope Park Square, Edinburgh, 1970 Rod Burstall Donald Michie Bernard Meltzer Bob Kowalski Pat Hayes Gordon Plotkin 1968 6 Hope Park Square, Edinburgh, 1970 Rod Burstall Donald Michie Bernard Meltzer Bob Kowalski Pat Hayes Gordon Plotkin 1968 Mike Gordon 1970 J Moore 1970 7 Hope Park Square, Edinburgh, 1970 Rod Burstall Donald Michie Bernard Meltzer Bob Kowalski Pat Hayes Gordon Plotkin 1968 Mike Gordon 1970 J Moore 1970 Bob Boyer 1971 Alan Bundy 1971 8 Hope Park Square, Edinburgh, 1970 Rod Burstall Donald Michie Bernard Meltzer Bob Kowalski Pat Hayes Gordon Plotkin 1968 Mike Gordon 1970 J Moore 1970 Bob Boyer 1971 Alan Bundy 1971 Robin Milner 1973 9 Our Computing Resources 64KB of RAM, paper tape input 10 11 Instead of debugging a program, one should prove that it meets its specifications, and this proof should be checked by a computer program. | John McCarthy, \A Basis for a Mathematical Theory of Computation," 1961 12 Theorem Proving in 1970 -
Automation of Mathematical Induction As Part of the History of Logic
2009 SEKI http://wirth.bplaced.net/seki.html ISSN 1437-4447 Automation of Mathematical Induction as part of the History of Logic J Strother Moore Report Dept. Computer Sci., Gates Dell C., 2317 Speedway, The University of Texas at Austin, Austin, TX 78701 [email protected] Claus-Peter Wirth FB AI, Hochschule Harz, D–38855 Wernigerode, Germany [email protected] SEKI Report SR–2013–02 SEKI SEKI is published by the following institutions: German Research Center for Artificial Intelligence (DFKI GmbH), Germany Robert Hooke Str.5, D–28359 Bremen • Trippstadter Str. 122, D–67663 Kaiserslautern • Campus D 3 2, D–66123 Saarbrücken • Jacobs University Bremen, School of Engineering & Science, Campus Ring 1, D–28759 Bremen, Germany Universität des Saarlandes, FR 6.2 Informatik, Campus, D–66123 Saarbrücken, Germany SEKI Editor: Claus-Peter Wirth E-mail: [email protected] WWW: http://wirth.bplaced.net Please send surface mail exclusively to: DFKI Bremen GmbH Safe and Secure Cognitive Systems Cartesium Enrique Schmidt Str. 5 D–28359 Bremen Germany This SEKI Report was internally reviewed by: Alan Bundy University of Edinburgh, Centre for Intelligent Systems and their Applications, School of Informatics, Informatics Forum, 10 Crichton Street, Edinburgh, EH8 9AB, Scotland E-mail: [email protected] WWW: http://homepages.inf.ed.ac.uk/bundy Bernhard Gramlich Vienna University of Technology, Faculty of Informatics, Theory and Logic Group, Favoritenstr. 9, E185/2, A–1040 Wien, Austria E-mail: [email protected] WWW: http://www.logic.at/staff/gramlich Automation of Mathematical Induction as part of the History of Logic J Strother Moore Dept. -
Phd-Dissertation.Pdf
Copyright by Panagiotis Manolios 2001 Mechanical Verification of Reactive Systems by Panagiotis Manolios, B.S.,M.A. Dissertation Presented to the Faculty of the Graduate School of The University of Texas at Austin in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy The University of Texas at Austin August 2001 The Dissertation Committee for Panagiotis Manolios Certifies that this is the approved version of the following dissertation: Mechanical Verification of Reactive Systems Committee: J Strother Moore, Supervisor Lorenzo Alvisi E. Allen Emerson Matt Kaufmann Jayadev Misra Amir Pnueli To Helen and Emmanuel Acknowledgments First and foremost I want to thank J Moore. J provided financial support when we first started working together, from his Admiral B.R. Inman Centennial Chair in Computing Theory. More importantly, I learned a great deal from J about being a researcher, a teacher, and a human being during our many collaborations and interactions. The impetus for my dissertation work came from discussions and col- laborations with fellow graduate students, including Kedar Namjoshi, Rob Sumners, and Jun Sawada. I met many other wonderful graduate students; the ones who helped shape my view of computing science include Richard Tre- fler, Rajeev Joshi, Vasilis Samoladas, Emilio Camahort, Yannis Smaragdakis, Nina Amla, John Gunnels, John Havlicek, Will Adams, and Robert Krug. The teachers that inspired me and taught me things I still remember include Edsger W. Dijkstra, E. Allen Emerson, Jayadev Misra, and, of course, J Moore. I thank Edsger for inviting me to join the Austin Tuesday Afternoon Club, where every week I had the pleasure of reading and analyzing papers on various topics with interesting people. -
Boyer's Education
Curriculum Vitae Robert Stephen Boyer Home address: 614 W. 32nd St. Austin, TX 78705 USA Born: August 2, 1946, Washington, D. C. Citizenship: U.S.A. Wife: Anne Olivia Herrington, married 1966 Children: Madeleine, Margaret, Nathaniel Father: Cdr. Fred Y. Boyer, U.S.N., Ret. Mother: Catherine Ann Boyer home telephone: : +1 512 467 0182 e-mail: [email protected] home page: http://www.cs.utexas.edu/users/boyer/index.html Education Ph. D., Mathematics, 1971 University of Texas, Austin, Texas B. A., Mathematics, Magna cum laude, 1967 University of Texas, Austin, Texas King High School, Kingsville, Texas, 1964 Jobs Professor in Computer Sciences, Mathematics, and Philosophy Departments University of Texas at Austin, 1981-2008 Senior Computing Research Scientist, Fall 1993 - Spring 1995, Computational Logic, Inc. Austin, Texas Senior Member of Technical Staff, 1985-1987 Microelectronics and Computer Technology Corporation Artificial Intelligence Program Austin, Texas Associate Professor, 1981-1985 1 Computer Sciences Department, University of Texas at Austin Staff Scientist, 1981 Senior Research Mathematician, 1979-81 Research Mathematician, 1973-78 Computer Science Laboratory SRI International Menlo Park, California Research Fellow, 1971-73 Department of Computational Logic University of Edinburgh, Edinburgh, Scotland Research Assistant, 1970-71 Artificial Intelligence Laboratory Massachusetts Institute of Technology, Cambridge, Mass. Teaching Assistant, 1967-70 Department of Mathematics University of Texas, Austin, Texas Honors and Professional Activities The 2005 Software System Award was given for the Boyer-Moore Theorem Prover to Robert S. Boyer, Matt Kaufmann, and J Strother Moore by the Association for Computing Machinery. 6th Herbrand Award for exceptional contributions to the field of Automated Deduction, awarded by CADE Inc. -
History of Interactive Theorem Proving
HISTORY OF INTERACTIVE THEOREM PROVING John Harrison, Josef Urban and Freek Wiedijk Reader: Lawrence C. Paulson 1 INTRODUCTION By interactive theorem proving, we mean some arrangement where the machine and a human user work together interactively to produce a formal proof. There is a wide spectrum of possibilities. At one extreme, the computer may act merely as a checker on a detailed formal proof produced by a human; at the other the prover may be highly automated and powerful, while nevertheless being subject to some degree of human guidance. In view of the practical limitations of pure automation, it seems today that, whether one likes it or not, interactive proof is likely to be the only way to formalize most non-trivial theorems in mathematics or computer system correctness. Almost all the earliest work on computer-assisted proof in the 1950s [Davis, 1957; Gilmore, 1960; Davis and Putnam, 1960; Wang, 1960; Prawitz et al., 1960] and 1960s [Robinson, 1965; Maslov, 1964; Loveland, 1968] was devoted to truly automated theorem proving, in the sense that the machine was supposed to prove assertions fully automatically. It is true that there was still a considerable diver- sity of methods, with some researchers pursuing AI-style approaches [Newell and Simon, 1956; Gelerntner, 1959; Bledsoe, 1984] rather than the dominant theme of automated proof search, and that the proof search programs were often highly tun- able by setting a complicated array of parameters. As described by Dick [2011], the designers of automated systems would often study the details of runs and tune the systems accordingly, leading to a continuous process of improvement and understanding that could in a very general sense be considered interactive.