Download or read book Automated Mathematical Induction written by Hantao Zhang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Automated Reasoning written by Bernhard Gramlich and published by Springer. This book was released on 2012-06-22 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Automated Reasoning with Analytic Tableaux and Related Methods written by Bernhard Beckert and published by Springer Science & Business Media. This book was released on 2005-09-05 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2005, held in Koblenz, Germany, in September 2005. The 18 revised research papers presented together with 7 system descriptions as well as 4 invited talks were carefully reviewed and selected from 46 submissions. All aspects of the mechanization of reasoning with tableaux and related methods are focused: analytic tableaux for various logics, related techniques and concepts, new calculi and methods for theorem proving in classical and non-classical logics, systems, tools, and implementations. It puts a special emphasis on applications of tableaux and related methods in areas such as, for example, hardware and software verification, knowledge engineering, and semantic Web.

Download or read book Subsystems of Second Order Arithmetic written by Stephen George Simpson and published by Cambridge University Press. This book was released on 2009-05-29 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines appropriate axioms for mathematics to prove particular theorems in core areas.

Download or read book Rewriting Techniques and Applications written by Andrei Voronkov and published by Springer. This book was released on 2008-07-11 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th International Conference on Rewriting Techniques and Applications, RTA 2008, held in Hagenberg, Austria, July 15-17, in June 2008 as part of the RISC Summer 2008. The 30 revised full papers presented were carefully reviewed and selected from 57 initial submissions. The papers cover current research on all aspects of rewriting including typical areas of interest such as applications, foundational issues, frameworks, implementations, and semantics.

Download or read book Automated Reasoning written by Stéphane Demri and published by Springer. This book was released on 2014-07-01 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Rewriting Techniques and Applications written by Paliath Narendran and published by Springer. This book was released on 2003-07-31 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Rewriting Techniques and Applications, RTA-99, held in Trento, Italy in July 1999 as part of FLoC'99. The 23 revised full papers presented were carefully selected from a total of 53 submissions. Also included are four system descriptions as well as three invited contributions. Among the topics covered are constraint solving, termination, deduction and higher order rewriting, graphs, complexity, tree automata, context-sensitive rewriting, string rewriting and numeration systems, etc.

Download or read book Automated Deduction Cade 12 written by Alan Bundy and published by Springer Science & Business Media. This book was released on 1994-06-08 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the reviewed papers presented at the 12th International Conference on Automated Deduction (CADE-12) held at Nancy, France in June/July 1994. The 67 papers presented were selected from 177 submissions and document many of the most important research results in automated deduction since CADE-11 was held in June 1992. The volume is organized in chapters on heuristics, resolution systems, induction, controlling resolutions, ATP problems, unification, LP applications, special-purpose provers, rewrite rule termination, ATP efficiency, AC unification, higher-order theorem proving, natural systems, problem sets, and system descriptions.

Download or read book Term Rewriting and Applications written by Frank Pfenning and published by Springer. This book was released on 2006-07-26 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 17th International Conference on Rewriting Techniques and Applications, RTA 2006, held in Seattle, WA, USA in August 2006. The book presents 23 revised full papers and 4 systems description papers together with 2 invited talks and a plenary talk of the hosting FLoC conference. Topics include equational reasoning, system verification, lambda calculus, theorem proving, system descriptions, termination, higher-order rewriting and unification, and more.

Download or read book Programming Languages and Systems written by Jacques Garrigue and published by Springer. This book was released on 2014-10-13 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th Asian Symposium on Programming Languages and Systems, APLAS 2014, held in Singapore, Singapore in November 2014. The 20 regular papers presented together with the abstracts of 3 invited talks were carefully reviewed and selected from 57 submissions. The papers cover a variety of foundational and practical issues in programming languages and systems - ranging from foundational to practical issues. The papers focus on topics such as semantics, logics, foundational theory; design of languages, type systems and foundational calculi; domain-specific languages; compilers, interpreters, abstract machines; program derivation, synthesis and transformation; program analysis, verification, model-checking; logic, constraint, probabilistic and quantum programming; software security; concurrency and parallelism; as well as tools and environments for programming and implementation.

Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Download or read book Automated Theorem Proving A Logical Basis written by D.W. Loveland and published by Elsevier. This book was released on 2016-08-19 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automated Theorem Proving: A Logical Basis

Download or read book Handbook of Mathematical Induction written by David S. Gunderson and published by Chapman & Hall/CRC. This book was released on 2016-11-16 with total page 921 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book A E written by Library of Congress. Office for Subject Cataloging Policy and published by . This book was released on 1990 with total page 1548 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rewriting Techniques and Applications written by and published by . This book was released on 1999 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book ZB 2000 Formal Specification and Development in Z and B written by Jonathan P. Bowen and published by Springer Science & Business Media. This book was released on 2000-08-16 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First International Conference of B and Z Users, ZB 2000, held in York, UK in August/September 2000. The 25 revised full papers presented together with four invited contributions were carefully reviewed and selected for inclusion in the book. The book documents the recent advances for the Z formal specification notion and for the B method; the full scope, ranging from foundational and theoretical issues to advanced applications, tools, and case studies, is covered.