Unity Of Logic And Computation

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Unity of Logic and Computation

Author : Gianluca Della Vedova
Publisher : Springer Nature
ISBN 13 : 3031369785
Total Pages : 327 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Unity of Logic and Computation by : Gianluca Della Vedova

Download or read book Unity of Logic and Computation written by Gianluca Della Vedova and published by Springer Nature. This book was released on 2023-07-18 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th International Conference on Unity of Logic and Computation, CiE 2023, held in Batumi, Georgia, during July 24–28, 2023. The 23 full papers and 13 invited papers included in this book were carefully reviewed and selected from 51 submissions. They were organized in topical sections as follows: Degree theory; Proof Theory; Computability; Algorithmic Randomness; Computational Complexity; Interactive proofs; and Combinatorial approaches.

Hajnal Andréka and István Németi on Unity of Science

Author : Judit Madarász
Publisher : Springer Nature
ISBN 13 : 3030641872
Total Pages : 517 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Hajnal Andréka and István Németi on Unity of Science by : Judit Madarász

Download or read book Hajnal Andréka and István Németi on Unity of Science written by Judit Madarász and published by Springer Nature. This book was released on 2021-05-31 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features more than 20 papers that celebrate the work of Hajnal Andréka and István Németi. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives. Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime. The short autobiographies of Hajnal Andréka and István Németi at the end of the book describe an adventurous journey from electric engineering and Maxwell’s equations to a complex system of computer programs for designing Hungary’s electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.

Foundations of Software Technology and Theoretical Computer Science

Author : P.S. Thiagarajan
Publisher : Springer Science & Business Media
ISBN 13 : 9783540587156
Total Pages : 472 pages
Book Rating : 4.5/5 (871 download)

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Book Synopsis Foundations of Software Technology and Theoretical Computer Science by : P.S. Thiagarajan

Download or read book Foundations of Software Technology and Theoretical Computer Science written by P.S. Thiagarajan and published by Springer Science & Business Media. This book was released on 1994-11-23 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the 14th International Conference on the Foundations of Software Technology and Theoretical Computer Science, FST&TCS-14, held in Madras, India in December 1994. Besides the five invited papers by well-known researchers, it includes 31 full refereed research papers selected out of a total of 140 submissions. The papers contribute to the whole area of theoretical computer science with an emphasis on algorithms and complexity. Other topics covered are program semantics, program verification, formal logic, computational geometry, concurrency, unification, and discrete mathematics.

Mathematical Logic and Computation

Author : Jeremy Avigad
Publisher : Cambridge University Press
ISBN 13 : 1108478751
Total Pages : 527 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Mathematical Logic and Computation by : Jeremy Avigad

Download or read book Mathematical Logic and Computation written by Jeremy Avigad and published by Cambridge University Press. This book was released on 2022-09-30 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough introduction to the fundamental methods and results in mathematical logic, and its foundational role in computer science.

Logic, Computation, Hierarchies

Author : Vasco Brattka
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 1614518041
Total Pages : 424 pages
Book Rating : 4.6/5 (145 download)

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Book Synopsis Logic, Computation, Hierarchies by : Vasco Brattka

Download or read book Logic, Computation, Hierarchies written by Vasco Brattka and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-09-04 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume will be of interest to mathematicians and logicians, as well as theoretical computer scientists.

Foundations of Logic and Theory of Computation

Author : A. Sernadas
Publisher :
ISBN 13 : 9781904987888
Total Pages : 0 pages
Book Rating : 4.9/5 (878 download)

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Book Synopsis Foundations of Logic and Theory of Computation by : A. Sernadas

Download or read book Foundations of Logic and Theory of Computation written by A. Sernadas and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a self-contained introduction to mathematical logic and computability theory for students of mathematics or computer science. It is organized around the failures and successes of Hilbert's programme for the formalization of Mathematics. It is widely known that the programme failed with Gödel's incompleteness theorems and related negative results about arithmetic. Unfortunately, the positive outcomes of the programme are less well known, even among mathematicians. The book covers key successes, like Gödel's proof of the completeness of first-order logic, Gentzen's proof of its consistency by purely symbolic means, and the decidability of a couple of useful theories. The book also tries to convey the message that Hilbert's programme made a significant contribution to the advent of the computer as it is nowadays understood and, thus, to the latest industrial revolution. Part I of the book addresses Hilbert's programme and computability. Part II presents first-order logic, including Gödel's completeness theorem and Gentzen's consistency theorem. Part III is focused on arithmetic, representability of computable maps, Gödel's incompleteness theorems and decidability of Presburger arithmetic. Part IV provides detailed answers to selected exercises. The book can be used at late undergraduate level or early graduate level. An undergraduate course would concentrate on Parts I and II, leaving out the Gentzen calculus, and sketching the way to the 1st incompleteness theorem. A more advanced course might skip early material already known to the students and concentrate on the positive and negative results of Hilbert's programme, thus covering Gentzen's proof of consistency and Part III in full.

A Computational Logic

Author : Robert S. Boyer
Publisher : Academic Press
ISBN 13 : 1483277887
Total Pages : 414 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis A Computational Logic by : Robert S. Boyer

Download or read book A Computational Logic written by Robert S. Boyer and published by Academic Press. This book was released on 2014-06-25 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Samson Abramsky on Logic and Structure in Computer Science and Beyond

Author : Alessandra Palmigiano
Publisher : Springer Nature
ISBN 13 : 3031241177
Total Pages : 1149 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Samson Abramsky on Logic and Structure in Computer Science and Beyond by : Alessandra Palmigiano

Download or read book Samson Abramsky on Logic and Structure in Computer Science and Beyond written by Alessandra Palmigiano and published by Springer Nature. This book was released on 2023-09-02 with total page 1149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Samson Abramsky’s wide-ranging contributions to logical and structural aspects of Computer Science have had a major influence on the field. This book is a rich collection of papers, inspired by and extending Abramsky’s work. It contains both survey material and new results, organised around six major themes: domains and duality, game semantics, contextuality and quantum computation, comonads and descriptive complexity, categorical and logical semantics, and probabilistic computation. These relate to different stages and aspects of Abramsky’s work, reflecting its exceptionally broad scope and his ability to illuminate and unify diverse topics. Chapters in the volume include a review of his entire body of work, spanning from philosophical aspects to logic, programming language theory, quantum theory, economics and psychology, and relating it to a theory of unification of sciences using dual adjunctions. The section on game semantics shows how Abramsky’s work has led to a powerful new paradigm for the semantics of computation. The work on contextuality and categorical quantum mechanics has been highly influential, and provides the foundation for increasingly widely used methods in quantum computing. The work on comonads and descriptive complexity is building bridges between currently disjoint research areas in computer science, relating Structure to Power. The volume also includes a scientific autobiography, and an overview of the contributions. The outstanding set of contributors to this volume, including both senior and early career academics, serve as testament to Samson Abramsky’s enduring influence. It will provide an invaluable and unique resource for both students and established researchers.

Logic and Computation

Author : Lawrence C. Paulson
Publisher :
ISBN 13 : 9780521346320
Total Pages : 302 pages
Book Rating : 4.3/5 (463 download)

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Book Synopsis Logic and Computation by : Lawrence C. Paulson

Download or read book Logic and Computation written by Lawrence C. Paulson and published by . This book was released on 1987 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with techniques for formal theorem-proving, with particular reference to Cambridge LCF (Logic for Computable Functions). Cambridge LCF is a computer program for reasoning about computation. It combines the methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of program statements. Cambridge LCF is based on an earlier theorem-proving system, Edinburgh LCF, which introduced a design that gives the user flexibility to use and extend the system. A goal of this book is to explain the design, which has been adopted in several other systems. The book consists of two parts. Part I outlines the mathematical preliminaries, elementary logic and domain theory, and explains them at an intuitive level, giving reference to more advanced reading; Part II provides sufficient detail to serve as a reference manual for Cambridge LCF. It will also be a useful guide for implementors of other programs based on the LCF approach.

Logic, Epistemology, and the Unity of Science

Author : Shahid Rahman
Publisher : Springer Science & Business Media
ISBN 13 : 9048124867
Total Pages : 617 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Logic, Epistemology, and the Unity of Science by : Shahid Rahman

Download or read book Logic, Epistemology, and the Unity of Science written by Shahid Rahman and published by Springer Science & Business Media. This book was released on 2009-03-16 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume in this new series explores, through extensive co-operation, new ways of achieving the integration of science in all its diversity. The book offers essays from important and influential philosophers in contemporary philosophy, discussing a range of topics from philosophy of science to epistemology, philosophy of logic and game theoretical approaches. It will be of interest to philosophers, computer scientists and all others interested in the scientific rationality.

Logic, Language, Information, and Computation

Author : Alexandra Silva
Publisher : Springer Nature
ISBN 13 : 3030888533
Total Pages : 435 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Logic, Language, Information, and Computation by : Alexandra Silva

Download or read book Logic, Language, Information, and Computation written by Alexandra Silva and published by Springer Nature. This book was released on 2021-10-05 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 27th Workshop on Logic, Language, Information and Communication, WoLLIC 2021, Virtual Event, in October 2021. The 25 full papers presented included 6 invited lectures were fully reviewed and selected from 50 submissions. The idea is to have a forum which is large enough in the number of possible interactions between logic and the sciences related to information and computation.

Computational Logic and Set Theory

Author : Jacob T. Schwartz
Publisher : Springer Science & Business Media
ISBN 13 : 0857298089
Total Pages : 426 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Computational Logic and Set Theory by : Jacob T. Schwartz

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.

Dynamic Logic

Author : David Harel
Publisher : MIT Press
ISBN 13 : 9780262263023
Total Pages : 492 pages
Book Rating : 4.2/5 (63 download)

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Book Synopsis Dynamic Logic by : David Harel

Download or read book Dynamic Logic written by David Harel and published by MIT Press. This book was released on 2000-09-29 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first comprehensive introduction to Dynamic Logic. Among the many approaches to formal reasoning about programs, Dynamic Logic enjoys the singular advantage of being strongly related to classical logic. Its variants constitute natural generalizations and extensions of classical formalisms. For example, Propositional Dynamic Logic (PDL) can be described as a blend of three complementary classical ingredients: propositional calculus, modal logic, and the algebra of regular events. In First-Order Dynamic Logic (DL), the propositional calculus is replaced by classical first-order predicate calculus. Dynamic Logic is a system of remarkable unity that is theoretically rich as well as of practical value. It can be used for formalizing correctness specifications and proving rigorously that those specifications are met by a particular program. Other uses include determining the equivalence of programs, comparing the expressive power of various programming constructs, and synthesizing programs from specifications. This book provides the first comprehensive introduction to Dynamic Logic. It is divided into three parts. The first part reviews the appropriate fundamental concepts of logic and computability theory and can stand alone as an introduction to these topics. The second part discusses PDL and its variants, and the third part discusses DL and its variants. Examples are provided throughout, and exercises and a short historical section are included at the end of each chapter.

Computational Logic — CL 2000

Author : John Lloyd
Publisher : Springer
ISBN 13 : 3540449574
Total Pages : 1399 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computational Logic — CL 2000 by : John Lloyd

Download or read book Computational Logic — CL 2000 written by John Lloyd and published by Springer. This book was released on 2003-06-26 with total page 1399 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of the First International Conference on Compu- tional Logic (CL 2000) which was held at Imperial College in London from 24th to 28th July, 2000. The theme of the conference covered all aspects of the theory, implementation, and application of computational logic, where computational logic is to be understood broadly as the use of logic in computer science. The conference was collocated with the following events: { 6th International Conference on Rules and Objects in Databases (DOOD 2000) { 10th International Workshop on Logic-based Program Synthesis and Tra- formation (LOPSTR 2000) { 10th International Conference on Inductive Logic Programming (ILP 2000). CL 2000 consisted of seven streams: { Program Development (LOPSTR 2000) { Logic Programming: Theory and Extensions { Constraints { Automated Deduction: Putting Theory into Practice { Knowledge Representation and Non-monotonic Reasoning { Database Systems (DOOD 2000) { Logic Programming: Implementations and Applications. The LOPSTR 2000 workshop constituted the program development stream and the DOOD 2000 conference constituted the database systems stream. Each stream had its own chair and program committee, which autonomously selected the papers in the area of the stream. Overall, 176 papers were submitted, of which 86 were selected to be presented at the conference and appear in these proceedings. The acceptance rate was uniform across the streams. In addition, LOPSTR 2000 accepted about 15 extended abstracts to be presented at the conference in the program development stream.

Sets, Logic, Computation

Author : Richard Zach
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (19 download)

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Book Synopsis Sets, Logic, Computation by : Richard Zach

Download or read book Sets, Logic, Computation written by Richard Zach and published by . This book was released on 2017 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This textbook is based on the Open Logic Project. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic"--BCcampus website.

Treatise on Intuitionistic Type Theory

Author : Johan Georg Granström
Publisher : Springer Science & Business Media
ISBN 13 : 9400717369
Total Pages : 198 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Treatise on Intuitionistic Type Theory by : Johan Georg Granström

Download or read book Treatise on Intuitionistic Type Theory written by Johan Georg Granström and published by Springer Science & Business Media. This book was released on 2011-06-02 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intuitionistic type theory can be described, somewhat boldly, as a partial fulfillment of the dream of a universal language for science. This book expounds several aspects of intuitionistic type theory, such as the notion of set, reference vs. computation, assumption, and substitution. Moreover, the book includes philosophically relevant sections on the principle of compositionality, lingua characteristica, epistemology, propositional logic, intuitionism, and the law of excluded middle. Ample historical references are given throughout the book.

Mathematics of Program Construction

Author : Roland Backhouse
Publisher : Springer
ISBN 13 : 3540450254
Total Pages : 265 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Mathematics of Program Construction by : Roland Backhouse

Download or read book Mathematics of Program Construction written by Roland Backhouse and published by Springer. This book was released on 2006-12-30 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of MPC 2000, the ?fth international c- ference on Mathematics of Program Construction. This series of conferences aims to promote the development of mathematical principles and techniques that are demonstrably useful and usable in the process of constructing c- puter programs (whether implemented in hardware or software). The focus is on techniques that combine precision with concision, enabling programs to be constructed by formal calculation. Within this theme, the scope of the series is very diverse, including programming methodology, program speci?cation and transformation, programming paradigms, programming calculi, and progr- ming language semantics. The quality of the papers submitted to the conference was in general very high. However,the number of submissions has decreased compared to the pre- ous conferences in the series. Each paper was refereed by at least ?ve and often more committee members. In order to maintain the high standards of the c- ference the committee took a stringent view on quality; this has meant that, in some cases, a paper was rejected even though there was a basis for a good c- ference or journal paper but the submitted paper did not meet the committee’s required standards. In a few cases a good paper was rejected on the grounds that it did not ?t within the scope of the conference.