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The Foundation of a Generic Theorem Prover

by Lawrence C. Paulson - Journal of Automated Reasoning , 1989
"... Isabelle [28, 30] is an interactive theorem prover that supports a variety of logics. It represents rules as propositions (not as functions) and builds proofs by combining rules. These operations constitute a meta-logic (or `logical framework') in which the object-logics are formalized. Isabell ..."
Abstract - Cited by 471 (48 self) - Add to MetaCart
Isabelle [28, 30] is an interactive theorem prover that supports a variety of logics. It represents rules as propositions (not as functions) and builds proofs by combining rules. These operations constitute a meta-logic (or `logical framework') in which the object-logics are formalized

Theorem provers

by Peter Jipsen, Gentzen Systems , 2010
"... Term-rewriting is a syntactic approach from the algebraic perspective: Normal form, Church-Rosser property (confluence), termination, critical pairs, Knuth-Bendix completion... Applies to (free) monoids, groups, boolean algebras, (some) finitely presented monoids, groups,... Used in algebraic specif ..."
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specification languages, in optimization of functional programs, in equational theorem provers,...

The Theorem Prover

by Satchmo Strategies, Slim Abdennadher, Norbert Eisinger, Tim Geisler - In IV`emes Journ'ees Francophones de Programmation en Logique , 1995
"... Satchmo is an automated theorem prover for first-order predicate logic. Its reasoning paradigm, model generation, is more powerful than the traditional refutation paradigm. Satchmo can be seen as an inference engine for expert systems capable of handling not only constructive and definite specifica ..."
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Satchmo is an automated theorem prover for first-order predicate logic. Its reasoning paradigm, model generation, is more powerful than the traditional refutation paradigm. Satchmo can be seen as an inference engine for expert systems capable of handling not only constructive and definite

Simplify: A theorem prover for program checking

by David Detlefs, Greg Nelson, James B. Saxe - J. ACM , 2003
"... This paper provides a detailed description of the automatic theorem prover Simplify, which is the proof engine of the Extended Static Checkers ESC/Java and ESC/Modula-3. Simplify uses the Nelson-Oppen method to combine decision procedures for several important theories, and also employs a matcher to ..."
Abstract - Cited by 431 (2 self) - Add to MetaCart
This paper provides a detailed description of the automatic theorem prover Simplify, which is the proof engine of the Extended Static Checkers ESC/Java and ESC/Modula-3. Simplify uses the Nelson-Oppen method to combine decision procedures for several important theories, and also employs a matcher

E - A Brainiac Theorem Prover

by Stephan Schulz , 2002
"... We describe the superposition-based theorem prover E. E is a sound and complete... ..."
Abstract - Cited by 176 (23 self) - Add to MetaCart
We describe the superposition-based theorem prover E. E is a sound and complete...

An interpolating theorem prover

by K. L. Mcmillan - In TACAS , 2004
"... Abstract. We present a method of deriving Craig interpolants from proofs in the quantifier-free theory of linear inequality and uninterpreted function symbols, and an interpolating theorem prover based on this method. The prover has been used for predicate refinement in the Blast software model chec ..."
Abstract - Cited by 101 (11 self) - Add to MetaCart
Abstract. We present a method of deriving Craig interpolants from proofs in the quantifier-free theory of linear inequality and uninterpreted function symbols, and an interpolating theorem prover based on this method. The prover has been used for predicate refinement in the Blast software model

Theorem Provers Survey

by R. Castelló, R. Mili , 1998
"... Theorem provers are computer programs capable of finding proofs for theorems within mathematical theories. Theorem provers have been an important part of the computer science field. The birth of theorem provers could be traced to the 50's with the introduction of the electronic computer to t ..."
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Theorem provers are computer programs capable of finding proofs for theorems within mathematical theories. Theorem provers have been an important part of the computer science field. The birth of theorem provers could be traced to the 50's with the introduction of the electronic computer

Implementing Extensible Theorem Provers

by Kathi Fisler, Shriram Krishnamurthi, Kathryn E. Gray - In International Conference on Theorem Proving in Higher-Order Logic: Emerging Trends, Research Report, INRIA Sophia Antipolis , 1999
"... . The growing application of theorem proving techniques has increased the need for customized theorem provers. Powerful provers contain numerous interacting subsystems, each of which requires substantial time and expertise to build; constructing new provers from scratch is virtually prohibitive. Plu ..."
Abstract - Cited by 8 (6 self) - Add to MetaCart
. The growing application of theorem proving techniques has increased the need for customized theorem provers. Powerful provers contain numerous interacting subsystems, each of which requires substantial time and expertise to build; constructing new provers from scratch is virtually prohibitive

Team Red: The Sandstorm Theorem Prover

by Deepak Garg, Tom Murphy, Vii Greg Price, Jason Reed, Noam Zeilberger , 2005
"... We present the Sandstorm theorem prover, a forward-method focusing theorem prover for first-order intuitionistic logic. 1 ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
We present the Sandstorm theorem prover, a forward-method focusing theorem prover for first-order intuitionistic logic. 1

The ASMKeY Theorem Prover

by Stanislas Nanchen, Hubert Schmid, Peter H. Schmitt, Robert Stärk
"... Abstract. In [8], we presented a logic for Abstract State Machines (ASMs). In this technical report, we present an interactive theorem prover call ASMKeY where we implemented this logic. We also present a small case study to show the effectivness of our approach. 1 ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
Abstract. In [8], we presented a logic for Abstract State Machines (ASMs). In this technical report, we present an interactive theorem prover call ASMKeY where we implemented this logic. We also present a small case study to show the effectivness of our approach. 1
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