Skip to main content

A Computational Logic

In Order to Read Online or Download A Computational Logic Full eBooks in PDF, EPUB, Tuebl and Mobi you need to create a Free account. Get any books you like and read everywhere you want. Fast Download Speed ~ Commercial & Ad Free. We cannot guarantee that every book is in the library!

A Computational Logic

A Computational Logic Book
Author : Robert S. Boyer,J Strother Moore
Publisher : Academic Press
Release : 2014-06-25
ISBN : 1483277887
Language : En, Es, Fr & De

GET BOOK

Book Description :

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.

A Computational Logic Handbook

A Computational Logic Handbook Book
Author : Robert S. Boyer,J Strother Moore
Publisher : Elsevier
Release : 2014-05-10
ISBN : 148327778X
Language : En, Es, Fr & De

GET BOOK

Book Description :

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 Human Thinking

Computational Logic and Human Thinking Book
Author : Robert Kowalski
Publisher : Cambridge University Press
Release : 2011-07-21
ISBN : 1139498150
Language : En, Es, Fr & De

GET BOOK

Book Description :

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.

Time Logic

Time   Logic Book
Author : Leonard Bolc,Andrzej Szałas
Publisher : Routledge
Release : 2019-10-17
ISBN : 1000507319
Language : En, Es, Fr & De

GET BOOK

Book Description :

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.

Computational Logic and Set Theory

Computational Logic and Set Theory Book
Author : Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo
Publisher : Springer Science & Business Media
Release : 2011-07-16
ISBN : 9780857298089
Language : En, Es, Fr & De

GET BOOK

Book Description :

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.

Computational Logic

Computational Logic Book
Author : Dov M. Gabbay,Jörg H. Siekmann,John Woods
Publisher : North Holland
Release : 2014-12-12
ISBN : 9780444516244
Language : En, Es, Fr & De

GET BOOK

Book Description :

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

Fundamentals of Logic and Computation

Fundamentals of Logic and Computation Book
Author : Zhe Hou
Publisher : Springer Nature
Release : 2021-12-03
ISBN : 3030878821
Language : En, Es, Fr & De

GET BOOK

Book Description :

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.

What Makes Us Smart

What Makes Us Smart Book
Author : Samuel Gershman
Publisher : Princeton University Press
Release : 2021-10-05
ISBN : 0691205701
Language : En, Es, Fr & De

GET BOOK

Book Description :

"This book is motivated by a fundamental puzzle about human cognition: how can we apparently be so stupid and so smart at the same time? On the one hand, the catalogue of human error is vast: we perceive things that aren't there and fail to perceive things right in front of us, we forget things that happened and remember things that didn't happen, we're inconsistent, biased, myopic, overly optimistic, and-despite this litany of imperfections-overconfident. In short, we appear to be as far as one can imagine from an ideal of rationality. On the other hand, there is an equally vast catalogue of findings in support of human rationality: we come close to optimal performance in domains ranging from motor control and sensory perception to prediction, communication, decision making, and logical reasoning. This puzzle has been around for as long as people have contemplated the nature of human intelligence, though it is now amplified by the modern revolution in AI. In this book, Samuel J. Gershman offers a new explanation, grounded in computational neuroscience, for this puzzle. He argues that the errors that the brain makes-those that make us "stupid"-are not haphazard "hacks" or "kluges" as some have argued. Rather, they are inevitable consequences of a brain optimized to operate under natural information processing constraints. In this book, Gershman develops this argument and shows how it reveals a deeper computational logic underlying a range of errors in human cognition. Importantly, he does not develop a bespoke explanation for each individual error; rather, he develops a uniform computational logic that can be invoked to explain diverse and superficially distinct phenomena. The result is a small set of unifying principles for understanding both the successes and the failures of cognition"--

Computational Logic and Proof Theory

Computational Logic and Proof Theory Book
Author : Georg Gottlob,Kurt Gödel Colloquium,Alexander Leitsch
Publisher : Springer Verlag
Release : 1993
ISBN : 0987650XXX
Language : En, Es, Fr & De

GET BOOK

Book Description :

"The Third Kurt G

Martin Davis on Computability Computational Logic and Mathematical Foundations

Martin Davis on Computability  Computational Logic  and Mathematical Foundations Book
Author : Eugenio G. Omodeo,Alberto Policriti
Publisher : Springer
Release : 2017-01-27
ISBN : 3319418424
Language : En, Es, Fr & De

GET BOOK

Book Description :

This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability. The individual contributions touch on most of the core aspects of Davis’ work and set it in a contemporary context. They analyse, discuss and develop many of the ideas and concepts that Davis put forward, including such issues as contemporary satisfiability solvers, essential unification, quantum computing and generalisations of Hilbert’s tenth problem. The book starts out with a scientific autobiography by Davis, and ends with his responses to comments included in the contributions. In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’ work. As a whole, this book shows how Davis’ scientific work lies at the intersection of computability, theoretical computer science, foundations of mathematics, and philosophy, and draws its unifying vision from his deep involvement in Logic.

Intellectics and Computational Logic

Intellectics and Computational Logic Book
Author : W. Bibel,Steffen Hölldobler
Publisher : Springer Science & Business Media
Release : 2000-04-30
ISBN : 9780792362616
Language : En, Es, Fr & De

GET BOOK

Book Description :

"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

Computational Logic  Logic Programming and Beyond Book
Author : Robert Kowalski
Publisher : Springer Science & Business Media
Release : 2002-07-12
ISBN : 3540439595
Language : En, Es, Fr & De

GET BOOK

Book Description :

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.

Logic for Learning

Logic for Learning Book
Author : John W. Lloyd
Publisher : Springer Science & Business Media
Release : 2013-04-17
ISBN : 3662084066
Language : En, Es, Fr & De

GET BOOK

Book Description :

This book provides a systematic approach to knowledge representation, computation, and learning using higher-order logic. For those interested in computational logic, it provides a framework for knowledge representation and computation based on higher-order logic, and demonstrates its advantages over more standard approaches based on first-order logic. For those interested in machine learning, the book explains how higher-order logic provides suitable knowledge representation formalisms and hypothesis languages for machine learning applications.

The Cultural Logic of Computation

The Cultural Logic of Computation Book
Author : David Golumbia
Publisher : Harvard University Press
Release : 2009-04-30
ISBN : 9780674032927
Language : En, Es, Fr & De

GET BOOK

Book Description :

Golumbia, who worked as a software designer for more than ten years, argues that computers are cultural "all the way down"--that there is no part of the apparent technological transformation that is not shaped by historical and cultural processes, or that escapes existing cultural politics.

Puzzles in Logic Languages and Computation

Puzzles in Logic  Languages and Computation Book
Author : Dragomir Radev
Publisher : Springer Science & Business Media
Release : 2013-02-11
ISBN : 3642343783
Language : En, Es, Fr & De

GET BOOK

Book Description :

This is the first volume of a unique collection that brings together the best English-language problems created for students competing in the Computational Linguistics Olympiad. These problems are representative of the diverse areas presented in the competition and designed with three principles in mind: · To challenge the student analytically, without requiring any explicit knowledge or experience in linguistics or computer science; · To expose the student to the different kinds of reasoning required when encountering a new phenomenon in a language, both as a theoretical topic and as an applied problem; · To foster the natural curiosity students have about the workings of their own language, as well as to introduce them to the beauty and structure of other languages; · To learn about the models and techniques used by computers to understand human language. Aside from being a fun intellectual challenge, the Olympiad mimics the skills used by researchers and scholars in the field of computational linguistics. In an increasingly global economy where businesses operate across borders and languages, having a strong pool of computational linguists is a competitive advantage, and an important component to both security and growth in the 21st century. This collection of problems is a wonderful general introduction to the field of linguistics through the analytic problem solving technique. "A fantastic collection of problems for anyone who is curious about how human language works! These books take serious scientific questions and present them in a fun, accessible way. Readers exercise their logical thinking capabilities while learning about a wide range of human languages, linguistic phenomena, and computational models. " - Kevin Knight, USC Information Sciences Institute

Applied Logic for Computer Scientists

Applied Logic for Computer Scientists Book
Author : Mauricio Ayala-Rincón,Flávio L. C. de Moura
Publisher : Springer
Release : 2017-02-04
ISBN : 3319516531
Language : En, Es, Fr & De

GET BOOK

Book Description :

This book provides an introduction to logic and mathematical induction which are the basis of any deductive computational framework. A strong mathematical foundation of the logical engines available in modern proof assistants, such as the PVS verification system, is essential for computer scientists, mathematicians and engineers to increment their capabilities to provide formal proofs of theorems and to certify the robustness of software and hardware systems. The authors present a concise overview of the necessary computational and mathematical aspects of ‘logic’, placing emphasis on both natural deduction and sequent calculus. Differences between constructive and classical logic are highlighted through several examples and exercises. Without neglecting classical aspects of computational logic, the authors also highlight the connections between logical deduction rules and proof commands in proof assistants, presenting simple examples of formalizations of the correctness of algebraic functions and algorithms in PVS. Applied Logic for Computer Scientists will not only benefit students of computer science and mathematics but also software, hardware, automation, electrical and mechatronic engineers who are interested in the application of formal methods and the related computational tools to provide mathematical certificates of the quality and accuracy of their products and technologies.

Logic Computation and Rigorous Methods

Logic  Computation and Rigorous Methods Book
Author : Alexander Raschke,Elvinia Riccobene,Klaus-Dieter Schewe
Publisher : Springer Nature
Release : 2021-06-04
ISBN : 3030760200
Language : En, Es, Fr & De

GET BOOK

Book Description :

This Festschrift was published in honor of Egon Börger on the occasion of his 75th birthday. It acknowledges Prof. Börger's inspiration as a scientist, author, mentor, and community organizer. Dedicated to a pioneer in the fields of logic and computer science, Egon Börger's research interests are unusual in scope, from programming languages to hardware architectures, software architectures, control systems, workflow and interaction patterns, business processes, web applications, and concurrent systems. The 18 invited contributions in this volume are by leading researchers in the areas of software engineering, programming languages, business information systems, and computer science logic.

Quantum Computation and Logic

Quantum Computation and Logic Book
Author : Maria Luisa Dalla Chiara,Roberto Giuntini,Roberto Leporini,Giuseppe Sergioli
Publisher : Springer
Release : 2018-12-10
ISBN : 3030044718
Language : En, Es, Fr & De

GET BOOK

Book Description :

This book provides a general survey of the main concepts, questions and results that have been developed in the recent interactions between quantum information, quantum computation and logic. Divided into 10 chapters, the books starts with an introduction of the main concepts of the quantum-theoretic formalism used in quantum information. It then gives a synthetic presentation of the main “mathematical characters” of the quantum computational game: qubits, quregisters, mixtures of quregisters, quantum logical gates. Next, the book investigates the puzzling entanglement-phenomena and logically analyses the Einstein–Podolsky–Rosen paradox and introduces the reader to quantum computational logics, and new forms of quantum logic. The middle chapters investigate the possibility of a quantum computational semantics for a language that can express sentences like “Alice knows that everybody knows that she is pretty”, explore the mathematical concept of quantum Turing machine, and illustrate some characteristic examples that arise in the framework of musical languages. The book concludes with an analysis of recent discussions, and contains a Mathematical Appendix which is a survey of the definitions of all main mathematical concepts used in the book.

Computational Logic

Computational Logic Book
Author : Jean-Louis Lassez,Gordon Plotkin
Publisher : MIT Press (MA)
Release : 1991
ISBN : 9780262121569
Language : En, Es, Fr & De

GET BOOK

Book Description :

Reflecting Alan Robinson's fundamental contribution to computational logic, this book brings together seminal papers in inference, equality theories, and logic programming. It is an exceptional collection that ranges from surveys of major areas to new results in more specialized topics. Alan Robinson is currently the University Professor at Syracuse University. Jean-Louis Lassez is a Research Scientist at the IBM Thomas J. Watson Research Center. Gordon Plotkin is Professor of Computer Science at the University of Edinburgh. Contents: Inference. Subsumption, A Sometimes Undervalued Procedure, Larry Wos, Ross Overbeek, and Ewing Lusk. The Markgraf Karl Refutation Procedure, Hans Jurgen Ohlbach and Jorg H. Siekmann. Modal Logic Should Say More than it Does, Melvin Fitting. Interactive Proof Presentation, W. W. Bledsoe. Intelligent Backtracking Revisited, Maurice Bruynooghe. A Science of Reasoning, Alan Bundy. Inductive Inference of Theories from Facts, Ehud Y. Shapiro. Equality. Solving Equations in Abstract Algebras: A Rule-based Survey of Unification, Jean-Pierre Jouannaud and Claude Kirchner. Disunification: A Survey, Hubert Comon. A Case Study of the Completion Procedure: Proving Ring Commutativity Problems, Deepak Kapur and Hantao Zhang. Computations in Regular Rewriting Systems I and II, Girard Huet and JeanJacques Levy. Unification and ML Type Reconstruction, Paris Kanellakis, Harry Mairson, and John Mitchell. Automatic Dimensional Analysis, Mitchell Wand. Logic Programming. Logic Programming Schemes and Their Implementations, Keith Clark. A Near-Horn Prolog for Compilation, Donald Loveland and David Reed. Unfold/Fold Transformations of Logic Programs, P. A. Gardner and J. C. Shepherdson. An Algebraic Representation of Logic Program Computations, Andrea Corradini and Ugo Montanari. Theory of Disjunctive Logic Programs, Jack Minker, Arcot Rajasekar, and Jorge Lobo. Bottom-Up Evaluation of Logic Programs, Jeffrey Naughton and Raghu Ramakrishnan. Absys, the First Logic Programming Language: A View of the Inevitability of Logic Programming, E. W. Elcock.

The Calculus of Computation

The Calculus of Computation Book
Author : Aaron R. Bradley,Zohar Manna
Publisher : Springer Science & Business Media
Release : 2007-09-18
ISBN : 3540741135
Language : En, Es, Fr & De

GET BOOK

Book Description :

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. The textbook also presents a logical approach to engineering correct software. Verification exercises are given to 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. The final chapter outlines courses of further study.