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Automated Theorem Proving: Theory and Practice Book

Automated Theorem Proving: Theory and Practice
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  • Automated Theorem Proving: Theory and Practice
  • Written by author Monty Newborn
  • Published by Springer-Verlag New York, LLC, December 2000
  • This text and software package introduces the reader to automated theorem proving and provides two approaches implemented as easy-to-use programs. The two approaches studied are semantic tree theorem proving and resolution-refutation theorem proving. The
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Preface
1A Brief Introduction to COMPILE, HERBY, and THEO1
2Predicate Calculus, Well-Formed Formulas and Theorems7
3COMPILE: Transforming Well-Formed Formulas to Clauses21
4Inference Procedures29
5Proving Theorems by Contructing Closed Semantic Trees43
6Resolution-Refutation Proofs53
7HERBY: A Semantic-Tree Theorem Prover85
8Using HERBY97
9THEO: A Resolution-Refutation Theorem Prover113
10Using THEO139
11A Look at the Source Code of HERBY161
12A Look at the Source Code of THEO173
13The CADE ATP System Competitions and Other Theorem Provers181
Bibliography207
App. A Answers to Selected Exercises211
App. BList of Wffs and Theorems in the Directories WFFS, THEOREMS, GEOMETRY, and THMSMISC219
Index225


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