A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.

This second edition explains what automated reasoning is and what it can do, and then demonstrates how to use it to solve complex problems with applications in logic circuit design, circuit validation, real-time system design, and expert systems.

Handbook of Automated Reasoning.

The contributors are among the world's leading researchers inautomated reasoning. Their essays cover the theory, software system design, and use of these systems to solve real problems. The primary objective of automated reasoning (which includes automated deduction and automated theorem proving) is to develop computer programs that use logical reasoning for the solution of a wide variety of problems, including open questions. The essays in Automated Reasoning and Its Applications were written in honor of Larry Wos, one of the founders of the field. Wos played a central role in forming the culture of automated reasoning at Argonne National Laboratory. He and his colleagues consistently seek to build systems that search huge spaces for solutions to difficult problems and proofs of significant theorems. They have had numerous notable successes. The contributors are among the world's leading researchers in automated reasoning. Their essays cover the theory, software system design, and use of these systems to solve real problems. Contributors Robert S. Boyer, Shang-Ching Chou, Xiao-Shan Gao, Lawrence Henschen, Deepak Kapur, Kenneth Kunen, Ewing Lusk, William McCune, J Strother Moore, Ross Overbeek, Lawrence C. Paulson, Hantao Zhang, Jing-Zhong Zhang

Here are the proceedings of the Third International Joint Conference on Automated Reasoning, IJCAR 2006, held in Seattle, Washington, USA, August 2006. The book presents 41 revised full research papers and 8 revised system descriptions, with 3 invited papers and a summary of a systems competition. The papers are organized in topical sections on proofs, search, higher-order logic, proof theory, proof checking, combination, decision procedures, CASC-J3, rewriting, and description logic.

This volume contains the proceedings of the 5th International Joint Conference on Automated Reasoning (IJCAR 2010). IJCAR 2010 was held during July 16-19 as part of the 2010 Federated Logic Conference, hosted by the School of Informatics at the University ofEdinburgh,Scotland. Support by the conference sponsors – EPSRC, NSF, Microsoft Research, Association for Symbolic Logic, CADE Inc. , Google, Hewlett-Packard, Intel – is gratefully acknowledged. IJCARisthepremierinternationaljointconferenceonalltopicsinautomated reasoning, including foundations, implementations, and applications. Previous IJCAR conferences were held at Siena (Italy) in 2001, Cork (Ireland) in 2004, Seattle (USA) in 2006, and Sydney (Australia) in 2008. IJCAR comprises s- eral leading conferences and workshops. In 2010, IJCAR was the fusion of the following events: –CADE: International Conference on Automated Deduction –FroCoS: International Symposium on Frontiers of Combining Systems –FTP: International Workshop on First-Order Theorem Proving – TABLEAUX: InternationalConferenceonAutomatedReasoningwith- alytic Tableaux and Related Methods There were 89 submissions (63 regular papers and 26 system descriptions) of which 40 were accepted (28 regular papers and 12 system descriptions). Each submission was assigned to at least three Program Committee members, who carefully reviewed the papers, with the help of 92 external referees. Afterwards, the submissions were discussed by the ProgramCommittee during two weeks by means of Andrei Voronkov’s EasyChair system. We want to thank Andrei very much for providing his system, which was very helpful for the management of the submissions and reviews and for the discussion of the Program Committee.

This book constitutes the refereed proceedings of the First International Joint Conference on Automated Reasoning, IJCAR 2001, held in Siena, Italy, in June 2001. The 37 research papers and 19 system descriptions presented together with three invited contributions were carefully reviewed and selected from a total of 112 submissions. The book offers topical sections on description, modal, and temporal logics; saturation based theorem proving, applications, and data structures; logic programming and nonmonotonic reasoning; propositional satisfiability and quantified Boolean logic; logical frameworks, higher-order logic, and interactive theorem proving; equational theorem proving and term rewriting; tableau, sequent, and natural deduction calculi and proof theory; automata, specification, verification, and logics of programs; and nonclassical logics.