Automated Mathematical Induction
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Automated Mathematical Induction
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Author : Hantao Zhang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Automated Mathematical Induction written by Hantao Zhang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
It has been shown how the common structure that defines a family of proofs can be expressed as a proof plan [5]. This common structure can be exploited in the search for particular proofs. A proof plan has two complementary components: a proof method and a proof tactic. By prescribing the structure of a proof at the level of primitive inferences, a tactic [11] provides the guarantee part of the proof. In contrast, a method provides a more declarative explanation of the proof by means of preconditions. Each method has associated effects. The execution of the effects simulates the application of the corresponding tactic. Theorem proving in the proof planning framework is a two-phase process: 1. Tactic construction is by a process of method composition: Given a goal, an applicable method is selected. The applicability of a method is determined by evaluating the method's preconditions. The method effects are then used to calculate subgoals. This process is applied recursively until no more subgoals remain. Because of the one-to-one correspondence between methods and tactics, the output from this process is a composite tactic tailored to the given goal. 2. Tactic execution generates a proof in the object-level logic. Note that no search is involved in the execution of the tactic. All the search is taken care of during the planning process. The real benefits of having separate planning and execution phases become appar ent when a proof attempt fails.
Automated Mathematical Induction
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Author : Hantao Zhang
language : en
Publisher:
Release Date : 2014-01-15
Automated Mathematical Induction written by Hantao Zhang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Automated Mathematical Induction
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Author : Adel Bouhoula
language : en
Publisher:
Release Date : 1992
Automated Mathematical Induction written by Adel Bouhoula and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Automatic theorem proving categories.
Abstract: "Proofs by induction are important in many computer science and artificial intelligence applications, in particular, in program verification and specification systems. We present a new method to prove (and disprove) automatically inductive properties. Given a set of axioms, a well-suited induction scheme is constructed automatically. We call such an induction scheme a test set. Then, for proving a property, we just instantiate it with terms from the test set and apply pure algebraic simplification to the result. This method needs no completion and explicit induction. However it retains their positive features, namely, the completeness of the former and the robustness of the latter. It has been implemented in the theorem-prover SPIKE."
Handbook Of Automated Reasoning
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Author : Alan J.A. Robinson
language : en
Publisher: Gulf Professional Publishing
Release Date : 2001-06-21
Handbook Of Automated Reasoning written by Alan J.A. Robinson and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-21 with Computers categories.
Handbook of Automated Reasoning.
Automated Reasoning
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Author : Christoph Benzmüller
language : en
Publisher: Springer Nature
Release Date : 2024-06-30
Automated Reasoning written by Christoph Benzmüller and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-30 with Computers categories.
This two-volume set of LNAI 14739-14740 constitute the proceedings of the 12th International Joint Conference on Automated Reasoning, IJCAR 2024, held in Nancy, France, during July 3-6, 2024. The 39 full research papers and 6 short papers presented in this book were carefully reviewed and selected from 115 submissions. The papers focus on the following topics: theorem proving and tools; SAT, SMT and Quantifier Elimination; Intuitionistic Logics and Modal Logics; Calculi, Proof Theory and Decision Procedures; and Unification, Rewriting and Computational Models. This book is open access.
Automated Reasoning
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Author : Bernhard Gramlich
language : en
Publisher: Springer
Release Date : 2012-06-22
Automated Reasoning written by Bernhard Gramlich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-22 with Mathematics categories.
This book constitutes the refereed proceedings of the 6th International Joint Conference on Automated Reasoning, IJCAR 2012, held in Manchester, UK, in June 2012. IJCAR 2012 is a merger of leading events in automated reasoning, namely CADE (International Conference on Automated Deduction), FroCoS (International Symposium on Frontiers of Combining Systems), FTP (International Workshop on First-Order Theorem Proving), and TABLEAUX (International Conference on Automated Reasoning with Analytic Tableaux and Related Methods). The 32 revised full research papers and 9 system descriptions presented together with 3 invited talks were carefully reviewed and selected from 116 submissions. The papers address all aspects of automated reasoning, including foundations, implementations, and applications.
Automated Reasoning
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Author : Jürgen Giesl
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-30
Automated Reasoning written by Jürgen Giesl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-30 with Computers categories.
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.
Handbook Of Mathematical Induction
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Author : David S. Gunderson
language : en
Publisher: Chapman & Hall/CRC
Release Date : 2016-11-16
Handbook Of Mathematical Induction written by David S. Gunderson and has been published by Chapman & Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-16 with Induction (Mathematics) categories.
Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics. In the first part of the book, the author discusses different inductive techniques, including well-ordered sets, basic mathematical induction, strong induction, double induction, infinite descent, downward induction, and several variants. He then introduces ordinals and cardinals, transfinite induction, the axiom of choice, Zorn's lemma, empirical induction, and fallacies and induction. He also explains how to write inductive proofs. The next part contains more than 750 exercises that highlight the levels of difficulty of an inductive proof, the variety of inductive techniques available, and the scope of results provable by mathematical induction. Each self-contained chapter in this section includes the necessary definitions, theory, and notation and covers a range of theorems and problems, from fundamental to very specialized. The final part presents either solutions or hints to the exercises. Slightly longer than what is found in most texts, these solutions provide complete details for every step of the problem-solving process.
Automated Theorem Proving A Logical Basis
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Author : D.W. Loveland
language : en
Publisher: Elsevier
Release Date : 2016-08-19
Automated Theorem Proving A Logical Basis written by D.W. Loveland and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-19 with Computers categories.
Automated Theorem Proving: A Logical Basis
Automated Reasoning
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Author : Stéphane Demri
language : en
Publisher: Springer
Release Date : 2014-07-01
Automated Reasoning written by Stéphane Demri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-01 with Mathematics categories.
This book constitutes the refereed proceedings of the 7th International Joint Conference on Automated Reasoning, IJCAR 2014, held as part of the Vienna Summer of Logic, VSL 2014, in Vienna, Austria, in July 2014. IJCAR 2014 was a merger of three leading events in automated reasoning, namely CADE (International Conference on Automated Deduction), FroCoS (International Symposium on Frontiers of Combining Systems) and TABLEAUX (International Conference on Automated Reasoning with Analytic Tableaux and Related Methods). The 26 revised full research papers and 11 system descriptions presented together with 3 invited talks were carefully reviewed and selected from 83 submissions. The papers have been organized in topical sections on HOL, SAT and QBF, SMT, equational reasoning, verification, proof theory, modal and temporal reasoning, SMT and SAT, modal logic, complexity, description logics and knowledge representation and reasoning.