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Author : Susumu Hayashi
Publisher :
ISBN 13 : 9780026208178
Total Pages : 200 pages
Book Rating : 4.2/5 (81 download)
Download or read book PX, a Computational Logic written by Susumu Hayashi and published by . This book was released on 1987 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert S. Boyer
Publisher : Elsevier
ISBN 13 : 148327778X
Total Pages : 427 pages
Book Rating : 4.4/5 (832 download)
Download or read book A Computational Logic Handbook written by Robert S. Boyer and published by Elsevier. This book was released on 2014-05-10 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Dov M. Gabbay
Publisher : Newnes
ISBN 13 : 0080930670
Total Pages : 737 pages
Book Rating : 4.0/5 (89 download)
Download or read book Computational Logic written by Dov M. Gabbay and published by Newnes. This book was released on 2014-12-09 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of the History of Logic brings to the development of logic the best in modern techniques of historical and interpretative scholarship. Computational logic was born in the twentieth century and evolved in close symbiosis with the advent of the first electronic computers and the growing importance of computer science, informatics and artificial intelligence. With more than ten thousand people working in research and development of logic and logic-related methods, with several dozen international conferences and several times as many workshops addressing the growing richness and diversity of the field, and with the foundational role and importance these methods now assume in mathematics, computer science, artificial intelligence, cognitive science, linguistics, law and many engineering fields where logic-related techniques are used inter alia to state and settle correctness issues, the field has diversified in ways that even the pure logicians working in the early decades of the twentieth century could have hardly anticipated. Logical calculi, which capture an important aspect of human thought, are now amenable to investigation with mathematical rigour and computational support and fertilized the early dreams of mechanised reasoning: “Calculemus . The Dartmouth Conference in 1956 – generally considered as the birthplace of artificial intelligence – raised explicitly the hopes for the new possibilities that the advent of electronic computing machinery offered: logical statements could now be executed on a machine with all the far-reaching consequences that ultimately led to logic programming, deduction systems for mathematics and engineering, logical design and verification of computer software and hardware, deductive databases and software synthesis as well as logical techniques for analysis in the field of mechanical engineering. This volume covers some of the main subareas of computational logic and its applications. Chapters by leading authorities in the field Provides a forum where philosophers and scientists interact Comprehensive reference source on the history of logic
Author : Jacob T. Schwartz
Publisher : Springer Science & Business Media
ISBN 13 : 0857298089
Total Pages : 426 pages
Book Rating : 4.8/5 (572 download)
Download or read book Computational Logic and Set Theory written by Jacob T. Schwartz and published by Springer Science & Business Media. This book was released on 2011-07-16 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Friedrich L. Bauer
Publisher : Springer Science & Business Media
ISBN 13 : 3642767990
Total Pages : 493 pages
Book Rating : 4.6/5 (427 download)
Download or read book Logic, Algebra, and Computation written by Friedrich L. Bauer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Marktoberdorf Summer Schools on Informatics were started in 1970, with the intention to convene every second or third year a group of top researchers in computing, devoted to preach their most recent results to an elite of advanced students - young and most promising people - and prepared to stand their questions, criticism and suggestions. The themes of these Advanced Study In stitutes under the sponsorship of the NATO Scientific Affairs Division varied slightly over the years, oscillating more or less around Programming Methodo logy, as the following list shows: 1970 Data Structures and Computer Systems 1971 Program Structures and Fundamental Concepts of Programming 1973 Structured Programming and Programmed Structures 1975 Language Hierarchies and Interfaces 1978 Program Construction 1981 Theoretical Foundations of Programming Methodology 1984 Control Flow and Data Flow: Concepts of Distributed Programming 1986 Logic of Programming and Calculi of Discrete Design 1988 Constructive Methods in Computing Science 1989 Logic, Algebra, and Computation Logic, Algebra, and Computation is the theme of the summer school to which this volume is devoted. It is the tenth in succession, but it is also the first in a new series (the "blue" series) that is intended to alternate in future with the traditional (the "red" series) arrangement; in fact the tenth summer school in the "red" series with the title "Programming and Mathematical Method" , held in 1990, was the subject of celebrating both its serial number and the twenty years of Marktoberdorf Summer Schools altogether.
Author : Neil Jones
Publisher : Springer Science & Business Media
ISBN 13 : 9783540579359
Total Pages : 292 pages
Book Rating : 4.5/5 (793 download)
Download or read book Logic, Language and Computation written by Neil Jones and published by Springer Science & Business Media. This book was released on 1994-03-30 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 15 papers from research areas where Japanese theoretical computer science is particularly strong. Many are about logic, and its realization and applications to computer science; others concern synthesis, transformation and implementation of programming languages, and complexity and coding theory. Not coincidentally, all the authors are either former students or close colleagues of Satoru Takasu, professor and director at the Research Institute of Mathematical Sciences at the University of Kyoto. The purpose of this volume is to celebrate Professor Takasu's influence on theoretical computer science in Japan and worldwide by his research, his philosophy, and his advising of students. The breadth, depth and quality of the papers are characteristic of his interests and activities.
Author : Wilfried Sieg
Publisher : American Mathematical Soc.
ISBN 13 : 0821851101
Total Pages : 297 pages
Book Rating : 4.8/5 (218 download)
Download or read book Logic and Computation written by Wilfried Sieg and published by American Mathematical Soc.. This book was released on 1990 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Workshop on Logic and Computation, held in July 1987 at Carnegie-Mellon University. The focus of the workshop was the refined interaction between mathematics and computation theory, one of the most fascinating and potentially fruitful developments in logic. The importance of this interaction lies not only in the emergence of the computer as a powerful tool in mathematics research, but also in the various attempts to carry out significant parts of mathematics in computationally informative ways. The proceedings pursue three complementary aims: to develop parts of mathematics under minimal set-theoretic assumptions; to provide formal frameworks suitable for computer implementation; and to extract, from formal proofs, mathematical and computational information. Aimed at logicians, mathematicians, and computer scientists, this volume is rich in results and replete with mathematical, logical, and computational problems.
Author : Ulrich Berger
Publisher : Springer Science & Business Media
ISBN 13 : 3642586228
Total Pages : 451 pages
Book Rating : 4.6/5 (425 download)
Download or read book Computational Logic written by Ulrich Berger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in computer science clearly show the need for a better theoretical foundation for some central issues. Methods and results from mathematical logic, in particular proof theory and model theory, are of great help here and will be used much more in future than previously. This book provides an excellent introduction to the interplay of mathematical logic and computer science. It contains extensively reworked versions of the lectures given at the 1997 Marktoberdorf Summer School by leading researchers in the field. Topics covered include: proof theory and specification of computation (J.-Y. Girard, D. Miller), complexity of proofs and programs (S. R. Buss, S. S. Wainer), computational content of proofs (H. Schwichtenberg), constructive type theory (P. Aczel, H. Barendregt, R. L. Constable), computational mathematics, (U. Martin), rewriting logic (J. Meseguer), and game semantics (S. Abramski).
Author : Helmut Schwichtenberg
Publisher : Springer Science & Business Media
ISBN 13 : 3642793614
Total Pages : 478 pages
Book Rating : 4.6/5 (427 download)
Download or read book Proof and Computation written by Helmut Schwichtenberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logical concepts and methods are of growing importance in many areas of computer science. The proofs-as-programs paradigm and the wide acceptance of Prolog show this clearly. The logical notion of a formal proof in various constructive systems can be viewed as a very explicit way to describe a computation procedure. Also conversely, the development of logical systems has been influenced by accumulating knowledge on rewriting and unification techniques. This volume contains a series of lectures by leading researchers giving a presentation of new ideas on the impact of the concept of a formal proof on computation theory. The subjects covered are: specification and abstract data types, proving techniques, constructive methods, linear logic, and concurrency and logic.
Author : Masahiko Sato
Publisher : World Scientific
ISBN 13 : 9814545163
Total Pages : 323 pages
Book Rating : 4.8/5 (145 download)
Download or read book Functional And Logic Programming: Proceedings Of The Third Fuji International Symposium written by Masahiko Sato and published by World Scientific. This book was released on 1998-03-12 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses issues concerning functional programming, logic programming, and integration of the two. The topics include language design, formal semantics, type theory, compilation techniques, program transformation, programming methods, integration of programming paradigms, constraint solving, and distributed computation.
Author : Andrea Cantini
Publisher : Springer Science & Business Media
ISBN 13 : 9401721092
Total Pages : 283 pages
Book Rating : 4.4/5 (17 download)
Download or read book Logic and Foundations of Mathematics written by Andrea Cantini and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The IOth International Congress of Logic, Methodology and Philosophy of Science, which took place in Florence in August 1995, offered a vivid and comprehensive picture of the present state of research in all directions of Logic and Philosophy of Science. The final program counted 51 invited lectures and around 700 contributed papers, distributed in 15 sections. Following the tradition of previous LMPS-meetings, some authors, whose papers aroused particular interest, were invited to submit their works for publication in a collection of selected contributed papers. Due to the large number of interesting contributions, it was decided to split the collection into two distinct volumes: one covering the areas of Logic, Foundations of Mathematics and Computer Science, the other focusing on the general Philosophy of Science and the Foundations of Physics. As a leading choice criterion for the present volume, we tried to combine papers containing relevant technical results in pure and applied logic with papers devoted to conceptual analyses, deeply rooted in advanced present-day research. After all, we believe this is part of the genuine spirit underlying the whole enterprise of LMPS studies.
Author : Alan J.A. Robinson
Publisher : Elsevier
ISBN 13 : 9780444508126
Total Pages : 1198 pages
Book Rating : 4.5/5 (81 download)
Download or read book Handbook of Automated Reasoning written by Alan J.A. Robinson and published by Elsevier. This book was released on 2001-06-21 with total page 1198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Automated Reasoning.
Author : Jim Grundy
Publisher : Springer Science & Business Media
ISBN 13 : 9783540649878
Total Pages : 516 pages
Book Rating : 4.6/5 (498 download)
Download or read book Theorem Proving in Higher Order Logics written by Jim Grundy and published by Springer Science & Business Media. This book was released on 1998-09-09 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on Theorem Proving in Higher Order Logics, TPHOLs '98, held in Canberra, Australia, in September/October 1998. The 26 revised full papers presented were carefully reviewed and selected from a total of 52 submissions. Also included are two invited papers. The papers address all current aspects of theorem proving in higher order logics and formal verification and program analysis. Besides the HOL system, the theorem provers Coq, Isabelle, LAMBDA, LEGO, NuPrl, and PVS are discussed.
Author : Petio P. Petkov
Publisher : Springer Science & Business Media
ISBN 13 : 1461306094
Total Pages : 405 pages
Book Rating : 4.4/5 (613 download)
Download or read book Mathematical Logic written by Petio P. Petkov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heyting'88 Summer School and Conference on Mathematical Logic, held September 13 - 23, 1988 in Chaika, Bulgaria, was honourably dedicated to Arend Heyting's 90th anniversary. It was organized by Sofia University "Kliment Ohridski" on the occasion of its centenary and by the Bulgarian Academy of Sciences, with sponsorship of the Association for Symbolic Logic. The Meeting gathered some 115 participants from 19 countries. The present volume consists of invited and selected papers. Included are all the invited lectures submitted for publication and the 14 selected contributions, chosen out of 56 submissions by the Selection Committee. The selection was made on the basis of reports of PC members, an average of 4 per sLlbmission. All the papers are concentrated on the topics of the Meeting: Recursion Theory, Modal and Non-classical Logics, Intuitionism and Constructivism, Related Applications to Computer and Other Sciences, Life and Work of Arend Heyting. I am pleased to thank all persons and institutions that contributed to the success of the Meeting: sponsors, Programme Committee members and additional referees, the members of the Organizing Committee, our secretaries K. Lozanova and L. Nikolova, as well as K. Angelov, V. Bozhichkova, A. Ditchev, D. Dobrev, N. Dimitrov, R. Draganova, G. Gargov, N. Georgieva, M. Janchev, P. Marinov, S. Nikolova, S. Radev, I. Soskov, A. Soskova and v. Sotirov, who helped in the organization, Plenum Press and at last but not least all participants in the Meeting and contributors to this volume
Author : Dov M. Gabbay
Publisher : Elsevier
ISBN 13 : 0080885470
Total Pages : 1069 pages
Book Rating : 4.0/5 (88 download)
Download or read book Logic from Russell to Church written by Dov M. Gabbay and published by Elsevier. This book was released on 2009-06-16 with total page 1069 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration. • The entire range of modal logic is covered • Serves as a singular contribution to the intellectual history of the 20th century • Contains the latest scholarly discoveries and interpretative insights
Author : Danny Dolev
Publisher : Springer Science & Business Media
ISBN 13 : 9783540555537
Total Pages : 236 pages
Book Rating : 4.5/5 (555 download)
Download or read book Theory of Computing and Systems written by Danny Dolev and published by Springer Science & Business Media. This book was released on 1992-05-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: ISTCS '92, the Israel Symposium on the Theory of Computing and Systems, cameabout spontaneously as a result of informal interaction between a group of people who viewed the conference as an appropriate expression of Israeli strength in theoretical aspects of computing and systems. The enthusiasm that the symposium created resulted in the submission of a large number of extremely high quality papers, which led in turn to strict acceptance criteria. This volume contains nineteen selected papers representing the cream of Israeli talent in the field, on a variety of active and interesting topics in the theory of computing and systems.
Author : Rod Downey
Publisher : World Scientific
ISBN 13 : 9814486779
Total Pages : 480 pages
Book Rating : 4.8/5 (144 download)
Download or read book Proceedings of the 7th and 8th Asian Logic Conferences written by Rod Downey and published by World Scientific. This book was released on 2003-11-11 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 7th and the 8th Asian Logic Conferences belong to the series of logic conferences inaugurated in Singapore in 1981. This meeting is held once every three years and rotates among countries in the Asia-Pacific region, with interests in the broad area of logic, including theoretical computer science. It is now considered a major conference in this field and is regularly sponsored by the Association for Symbolic Logic. This book contains papers — many of them surveys by leading experts — of both the 7th meeting (in Hsi-Tou, Taiwan) and the 8th (in Chongqing, China). The volume planned for the 7th meeting was interrupted by the earthquake in Taiwan and the decision was made to combine the two proceedings. The 8th conference is also the ICM2002 Satellite Conference on Mathematical Logic. Contents:Five Puzzles about Mathematics in Search of Solutions (C S Chihara)Computability, Definability and Algebraic Structures (R Downey)Popper and Miller, and Induction and Deduction (E Eells)Enlargements of Polynomial Coalgebras (R Goldblatt)A Common Structure of Logical and Algebraic Algorithms (Y Kawaguchi)Computational Complexity of Fractals (K I Ko)Definability in Local Degree Structures — A Survey of Recent Results Related to Jump Classes (A Li & Y Yang)An Application of NDJPROP to the Catch and Throw Mechanism (M Nakata et al.)A Problem on Theories with a Finite Number of Countable Models (A Tsuboi)Diamond Embeddings into the D.C.E. Degrees with 0 and 1 Preserved (G Wu)and other papers Readership: Logicians, computer scientists, research mathematicians and graduate students. Keywords:
