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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 : Wilfried Sieg
Publisher : American Mathematical Soc.
ISBN 13 : 0821851101
Total Pages : 314 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 314 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 : 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 : 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 : 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 : David Makinson
Publisher : Springer Nature
ISBN 13 : 3030422186
Total Pages : 408 pages
Book Rating : 4.0/5 (34 download)
Download or read book Sets, Logic and Maths for Computing written by David Makinson and published by Springer Nature. This book was released on 2020-05-19 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-understand textbook introduces the mathematical language and problem-solving tools essential to anyone wishing to enter the world of computer and information sciences. Specifically designed for the student who is intimidated by mathematics, the book offers a concise treatment in an engaging style. The thoroughly revised third edition features a new chapter on relevance-sensitivity in logical reasoning and many additional explanations on points that students find puzzling, including the rationale for various shorthand ways of speaking and ‘abuses of language’ that are convenient but can give rise to misunderstandings. Solutions are now also provided for all exercises. Topics and features: presents an intuitive approach, emphasizing how finite mathematics supplies a valuable language for thinking about computation; discusses sets and the mathematical objects built with them, such as relations and functions, as well as recursion and induction; introduces core topics of mathematics, including combinatorics and finite probability, along with the structures known as trees; examines propositional and quantificational logic, how to build complex proofs from simple ones, and how to ensure relevance in logic; addresses questions that students find puzzling but may have difficulty articulating, through entertaining conversations between Alice and the Mad Hatter; provides an extensive set of solved exercises throughout the text. This clearly-written textbook offers invaluable guidance to students beginning an undergraduate degree in computer science. The coverage is also suitable for courses on formal methods offered to those studying mathematics, philosophy, linguistics, economics, and political science. Assuming only minimal mathematical background, it is ideal for both the classroom and independent study.
Author : Gerard Huet
Publisher : Cambridge University Press
ISBN 13 : 9780521433129
Total Pages : 360 pages
Book Rating : 4.4/5 (331 download)
Download or read book Logical Environments written by Gerard Huet and published by Cambridge University Press. This book was released on 1993-09-16 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Logical Frameworks, Huet and Plotkin gathered contributions from the first International Workshop on Logical Frameworks. This volume has grown from the second workshop, and as before the contributions are of the highest calibre. Four main themes are covered: the general problem of representing formal systems in logical frameworks, basic algorithms of general use in proof assistants, logical issues, and large-scale experiments with proof assistants.
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 : Pawel Urzyczyn
Publisher : Springer Science & Business Media
ISBN 13 : 3540255931
Total Pages : 443 pages
Book Rating : 4.5/5 (42 download)
Download or read book Typed Lambda Calculi and Applications written by Pawel Urzyczyn and published by Springer Science & Business Media. This book was released on 2005-04-07 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Typed Lambda Calculi and Applications, TLCA 2005, held in Nara, Japan in April 2005. The 27 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 61 submissions. The volume reports research results on all current aspects of typed lambda calculi, ranging from theoretical and methodological issues to applications in various contexts.
Author : Stefano Berardi
Publisher : Springer Science & Business Media
ISBN 13 : 9783540617808
Total Pages : 310 pages
Book Rating : 4.6/5 (178 download)
Download or read book Types for Proofs and Programs written by Stefano Berardi and published by Springer Science & Business Media. This book was released on 1996-10-02 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a refereed selection of revised full papers chosen from the contributions presented during the Third Annual Workshop held under the auspices of the ESPRIT Basic Research Action 6453 Types for Proofs and Programs. The workshop took place in Torino, Italy, in June 1995. Type theory is a formalism in which theorems and proofs, specifications and programs can be represented in a uniform way. The 19 papers included in the book deal with foundations of type theory, logical frameworks, and implementations and applications; all in all they constitute a state-of-the-art survey for the area of type theory.
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 : David A. Schmidt
Publisher : MIT Press
ISBN 13 : 9780262193498
Total Pages : 392 pages
Book Rating : 4.1/5 (934 download)
Download or read book The Structure of Typed Programming Languages written by David A. Schmidt and published by MIT Press. This book was released on 1994 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text is unique in its tutorial presentation of higher-order lambda calculus and intuitionistic type theory.
Author : Douglas S. Bridges
Publisher : Springer Science & Business Media
ISBN 13 : 3642224156
Total Pages : 212 pages
Book Rating : 4.6/5 (422 download)
Download or read book Apartness and Uniformity written by Douglas S. Bridges and published by Springer Science & Business Media. This book was released on 2011-09-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory presented in this book is developed constructively, is based on a few axioms encapsulating the notion of objects (points and sets) being apart, and encompasses both point-set topology and the theory of uniform spaces. While the classical-logic-based theory of proximity spaces provides some guidance for the theory of apartness, the notion of nearness/proximity does not embody enough algorithmic information for a deep constructive development. The use of constructive (intuitionistic) logic in this book requires much more technical ingenuity than one finds in classical proximity theory -- algorithmic information does not come cheaply -- but it often reveals distinctions that are rendered invisible by classical logic. In the first chapter the authors outline informal constructive logic and set theory, and, briefly, the basic notions and notations for metric and topological spaces. In the second they introduce axioms for a point-set apartness and then explore some of the consequences of those axioms. In particular, they examine a natural topology associated with an apartness space, and relations between various types of continuity of mappings. In the third chapter the authors extend the notion of point-set (pre-)apartness axiomatically to one of (pre-)apartness between subsets of an inhabited set. They then provide axioms for a quasiuniform space, perhaps the most important type of set-set apartness space. Quasiuniform spaces play a major role in the remainder of the chapter, which covers such topics as the connection between uniform and strong continuity (arguably the most technically difficult part of the book), apartness and convergence in function spaces, types of completeness, and neat compactness. Each chapter has a Notes section, in which are found comments on the definitions, results, and proofs, as well as occasional pointers to future work. The book ends with a Postlude that refers to other constructive approaches to topology, with emphasis on the relation between apartness spaces and formal topology. Largely an exposition of the authors' own research, this is the first book dealing with the apartness approach to constructive topology, and is a valuable addition to the literature on constructive mathematics and on topology in computer science. It is aimed at graduate students and advanced researchers in theoretical computer science, mathematics, and logic who are interested in constructive/algorithmic aspects of topology.
Author : Jieh Hsiang
Publisher : Springer
ISBN 13 : 3540493662
Total Pages : 315 pages
Book Rating : 4.5/5 (44 download)
Download or read book Advances in Computing Science - ASIAN'98 written by Jieh Hsiang and published by Springer. This book was released on 2003-05-20 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th Asian Computing Science Conference, ASIAN'98, held in Manila, The Philippines, in December 1998. The 17 revised full papers presented were carefully reviewed and selected from a total of 43 submissions. Also included are a few invited contributions. Among the topics covered are automated deduction, proof theory, rewriting systems, program semantics, distributed processing, algorithms, and graph-theoretical aspects.
Author : Robin Milner
Publisher : MIT Press
ISBN 13 : 9780262161886
Total Pages : 748 pages
Book Rating : 4.1/5 (618 download)
Download or read book Proof, Language, and Interaction written by Robin Milner and published by MIT Press. This book was released on 2000 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays reflects the breadth of research in computer science. Following a biography of Robin Milner it contains sections on semantic foundations; programming logic; programming languages; concurrency; and mobility.
