A Computational Logic
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A Computational Logic
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Author : Robert S. Boyer
language : en
Publisher: Academic Press
Release Date : 2014-06-25
A Computational Logic written by Robert S. Boyer and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-25 with Mathematics categories.
ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.
Computational Logic And Human Thinking
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Author : Robert Kowalski
language : en
Publisher: Cambridge University Press
Release Date : 2011-07-21
Computational Logic And Human Thinking written by Robert Kowalski and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-21 with Computers categories.
The practical benefits of computational logic need not be limited to mathematics and computing. As this book shows, ordinary people in their everyday lives can profit from the recent advances that have been developed for artificial intelligence. The book draws upon related developments in various fields from philosophy to psychology and law. It pays special attention to the integration of logic with decision theory, and the use of logic to improve the clarity and coherence of communication in natural languages such as English. This book is essential reading for teachers and researchers who may be out of touch with the latest developments in computational logic. It will also be useful in any undergraduate course that teaches practical thinking, problem solving or communication skills. Its informal presentation makes the book accessible to readers from any background, but optional, more formal, chapters are also included for those who are more technically oriented.
A Computational Logic Handbook
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Author : Robert S. Boyer
language : en
Publisher: Elsevier
Release Date : 2014-05-10
A Computational Logic Handbook written by Robert S. Boyer and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Perspectives in Computing: A Computational Logic Handbook contains a precise description of the logic and a detailed reference guide to the associated mechanical theorem proving system, including a primer for the logic as a functional programming language, an introduction to proofs in the logic, and a primer for the mechanical theorem. The publication first offers information on a primer for the logic, formalization within the logic, and a precise description of the logic. Discussions focus on induction and recursion, quantification, explicit value terms, dealing with features and omissions, elementary mathematical relationships, Boolean operators, and conventional data structures. The text then takes a look at proving theorems in the logic, mechanized proofs in the logic, and an introduction to the system. The text examines the processes involved in using the theorem prover, four classes of rules generated from lemmas, and aborting or interrupting commands. Topics include executable counterparts, toggle, elimination of irrelevancy, heuristic use of equalities, representation of formulas, type sets, and the crucial check points in a proof attempt. The publication is a vital reference for researchers interested in computational logic.
Computational Logic And Set Theory
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Author : Jacob T. Schwartz
language : en
Publisher: Springer
Release Date : 2014-09-06
Computational Logic And Set Theory written by Jacob T. Schwartz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-06 with Computers categories.
This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Topics and features: describes in depth how a specific first-order theory can be exploited to model and carry out reasoning in branches of computer science and mathematics; presents an unique system for automated proof verification in large-scale software systems; integrates important proof-engineering issues, reflecting the goals of large-scale verifiers; includes an appendix showing formalized proofs of ordinals, of various properties of the transitive closure operation, of finite and transfinite induction principles, and of Zorn’s lemma.
Time Logic
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Author : Leonard Bolc
language : en
Publisher: Routledge
Release Date : 2019-10-24
Time Logic written by Leonard Bolc and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-24 with Philosophy categories.
Originally published in 1995 Time and Logic examines understanding and application of temporal logic, presented in computational terms. The emphasis in the book is on presenting a broad range of approaches to computational applications. The techniques used will also be applicable in many cases to formalisms beyond temporal logic alone, and it is hoped that adaptation to many different logics of program will be facilitated. Throughout, the authors have kept implementation-orientated solutions in mind. The book begins with an introduction to the basic ideas of temporal logic. Successive chapters examine particular aspects of the temporal theoretical computing domain, relating their applications to familiar areas of research, such as stochastic process theory, automata theory, established proof systems, model checking, relational logic and classical predicate logic. This is an essential addition to the library of all theoretical computer scientists. It is an authoritative work which will meet the needs both of those familiar with the field and newcomers to it.
Intellectics And Computational Logic
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Author : Steffen Hölldobler
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-04-30
Intellectics And Computational Logic written by Steffen Hölldobler 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 2000-04-30 with Computers categories.
"Audience: Researchers working in the areas of Intellectics and Computational Logic, who are convinced that an intelligent behavior of machines should be based on a rigid formal treatment of knowledge representation and reasoning."--Jacket.
Computational Logic Logic Programming And Beyond
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Author : Robert Kowalski
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-07-12
Computational Logic Logic Programming And Beyond written by Robert Kowalski 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 2002-07-12 with Computers categories.
The book contains the proceedings of the 12th European Testis Workshop and gives an excellent overview of the state of the art in testicular research. The chapters are written by leading scientists in the field of male reproduction, who were selceted on the basis of their specific area of research. The book covers all important aspects of testicular functioning, for example, Sertoli and Leydig cell functioning, spermatogonial development and transplantation, meiosis and spermiogenesis. Even for those investigators who were not present at the workshop, this volume provides a clear impression of the topics discussed during that meeting.
Fundamentals Of Logic And Computation
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Author : Zhe Hou
language : en
Publisher: Springer
Release Date : 2022-12-05
Fundamentals Of Logic And Computation written by Zhe Hou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-05 with Computers categories.
This textbook aims to help the reader develop an in-depth understanding of logical reasoning and gain knowledge of the theory of computation. The book combines theoretical teaching and practical exercises; the latter is realised in Isabelle/HOL, a modern theorem prover, and PAT, an industry-scale model checker. I also give entry-level tutorials on the two software to help the reader get started. By the end of the book, the reader should be proficient in both software. Content-wise, this book focuses on the syntax, semantics and proof theory of various logics; automata theory, formal languages, computability and complexity. The final chapter closes the gap with a discussion on the insight that links logic with computation. This book is written for a high-level undergraduate course or a Master's course. The hybrid skill set of practical theorem proving and model checking should be helpful for the future of readers should they pursue a research career or engineering in formal methods.
The Calculus Of Computation
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Author : Aaron R. Bradley
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-18
The Calculus Of Computation written by Aaron R. Bradley 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 2007-09-18 with Computers categories.
Computational logic is a fast-growing field with applications in artificial intelligence, constraint solving, and the design and verification of software and hardware systems. Written with graduate and advanced undergraduate students in mind, this textbook introduces computational logic from the foundations of first-order logic to state-of-the-art decision procedures for arithmetic, data structures, and combination theories. This textbook also presents a logical approach to engineering correct software. The increasing ubiquity of computers makes implementing correct systems more important than ever. Verification exercises develop the reader's facility in specifying and verifying software using logic. The treatment of verification concludes with an introduction to the static analysis of software, an important component of modern verification systems. For readers interested in learning more about computational logic, decision procedures, verification, and other areas of formal methods, the final chapter outlines courses of further study.
Computational Logic And Proof Theory
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Author : Georg Gottlob
language : en
Publisher:
Release Date : 1993
Computational Logic And Proof Theory written by Georg Gottlob and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Automatic theorem proving categories.
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