Computational Logic Logic Programming And Beyond

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Computational Logic: Logic Programming and Beyond

Antonis C. Kakas,Fariba Sadri
Computational Logic Logic Programming and Beyond Book PDF

Author : Antonis C. Kakas,Fariba Sadri
Publisher : Springer
Page : 628 pages
File Size : 46,8 Mb
Release : 2003-08-02
Category : Computers
ISBN : 9783540456322

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Computational Logic: Logic Programming and Beyond by Antonis C. Kakas,Fariba Sadri Pdf

Alan Robinson This set of essays pays tribute to Bob Kowalski on his 60th birthday, an anniversary which gives his friends and colleagues an excuse to celebrate his career as an original thinker, a charismatic communicator, and a forceful intellectual leader. The logic programming community hereby and herein conveys its respect and thanks to him for his pivotal role in creating and fostering the conceptual paradigm which is its raison d’Œtre. The diversity of interests covered here reflects the variety of Bob’s concerns. Read on. It is an intellectual feast. Before you begin, permit me to send him a brief personal, but public, message: Bob, how right you were, and how wrong I was. I should explain. When Bob arrived in Edinburgh in 1967 resolution was as yet fairly new, having taken several years to become at all widely known. Research groups to investigate various aspects of resolution sprang up at several institutions, the one organized by Bernard Meltzer at Edinburgh University being among the first. For the half-dozen years that Bob was a leading member of Bernard’s group, I was a frequent visitor to it, and I saw a lot of him. We had many discussions about logic, computation, and language.

Computational Logic: Logic Programming and Beyond

A.C. Kakas,F. Sadri
Computational Logic Logic Programming and Beyond Book PDF

Author : A.C. Kakas,F. Sadri
Publisher : Springer
Page : 684 pages
File Size : 40,5 Mb
Release : 2003-08-02
Category : Computers
ISBN : 9783540456285

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Computational Logic: Logic Programming and Beyond by A.C. Kakas,F. Sadri Pdf

Alan Robinson This set of essays pays tribute to Bob Kowalski on his 60th birthday, an anniversary which gives his friends and colleagues an excuse to celebrate his career as an original thinker, a charismatic communicator, and a forceful intellectual leader. The logic programming community hereby and herein conveys its respect and thanks to him for his pivotal role in creating and fostering the conceptual paradigm which is its raison d’Œtre. The diversity of interests covered here reflects the variety of Bob’s concerns. Read on. It is an intellectual feast. Before you begin, permit me to send him a brief personal, but public, message: Bob, how right you were, and how wrong I was. I should explain. When Bob arrived in Edinburgh in 1967 resolution was as yet fairly new, having taken several years to become at all widely known. Research groups to investigate various aspects of resolution sprang up at several institutions, the one organized by Bernard Meltzer at Edinburgh University being among the first. For the half-dozen years that Bob was a leading member of Bernard’s group, I was a frequent visitor to it, and I saw a lot of him. We had many discussions about logic, computation, and language.

Computational Logic

Antonis C. Kakas,Fariba Sadri
Computational Logic Book PDF

Author : Antonis C. Kakas,Fariba Sadri
Publisher : Unknown
Page : 696 pages
File Size : 48,8 Mb
Release : 2014-01-15
Category : Automatic theorem proving
ISBN : 3662167840

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Computational Logic by Antonis C. Kakas,Fariba Sadri Pdf

This volume spans the whole field of computational logic seen from the point of view of logic programming. The topics addressed range from issues concerning the development of programming languages in logic and the application of computational logic to real-life problems, to philosophical studies of the field at the other end of the spectrum. The articles presented cover the contributions of computational logic to databases and artificial intelligence with particular emphasis on automated reasoning, reasoning about actions and change, natural languages, and learning. Together with its companion volume, LNAI 2408, this book commemorates the 60th birthday of Bob Kowalski as one of the founders of and contributors to computational logic.

The Logic Programming Paradigm

Krzysztof R. Apt,Victor W. Marek,Mirek Truszczynski,David S. Warren
The Logic Programming Paradigm Book PDF

Author : Krzysztof R. Apt,Victor W. Marek,Mirek Truszczynski,David S. Warren
Publisher : Springer Science & Business Media
Page : 457 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642600852

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The Logic Programming Paradigm by Krzysztof R. Apt,Victor W. Marek,Mirek Truszczynski,David S. Warren Pdf

This exciting new text reveals both the evolution of this programming paradigm since its inception and the impressively broad scope of current research in the field. The contributors to this book are all leading world experts in Logic Programming, and they deal with both theoretical and practical issues. They address such diverse topics as: computational molecular biology, machine learning, mobile computing, multi-agent systems, planning, numerical computing and dynamical systems, database systems, an alternative to the "formulas as types" approach, program semantics and analysis, and natural language processing. XXXXXXX Neuer Text Logic Programming was founded 25 years ago. This exciting book reveals both the evolution of this programming paradigm and its impressively broad scope of current research. The contributions by leading computer scientists deal with both theoretical and practical issues. They address diverse topics such as: computational molecular biology, machine learning, mobile computing, multi-agent systems, numerical computing and dynamical systems, database systems, program semantics, natural language processing, and promising future directions.

Programming with Higher-Order Logic

Dale Miller,Gopalan Nadathur
Programming with Higher Order Logic Book PDF

Author : Dale Miller,Gopalan Nadathur
Publisher : Cambridge University Press
Page : 321 pages
File Size : 54,8 Mb
Release : 2012-06-11
Category : Computers
ISBN : 9780521879408

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Programming with Higher-Order Logic by Dale Miller,Gopalan Nadathur Pdf

A programming language based on a higher-order logic provides a declarative approach to capturing computations involving types, proofs and other syntactic structures.

A Computational Logic Handbook

Robert S. Boyer,J Strother Moore
A Computational Logic Handbook Book PDF

Author : Robert S. Boyer,J Strother Moore
Publisher : Unknown
Page : 552 pages
File Size : 44,9 Mb
Release : 1998
Category : Computers
ISBN : UOM:39015040049192

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A Computational Logic Handbook by Robert S. Boyer,J Strother Moore Pdf

This book provides the definitive documentation for one of the most well-known and highly regarded theorem-proving programs ever written. The program described is one of the more significant, enduring, and prize-awarded accomplishments in the fields of artificial intelligence, formal methods, and applied logic. The book provides an exact statement of the logic for which the program is a prover, a complete description of the user's commands, installation instructions, and much tutorial information, including references to thousands of pages of examples. Among the examples is a formally verified microprocessor and a formally verified compiler targeting that microprocessor. The second edition of A Computational Logic handbook provides all the information necessry for using the most recently releases version of Nqthm, the freely available"Boyer-Moore"theorem-proving program. The second edition includes a precise description of all recent changes to the logic in the past nine years, including many enhanced syntactic features and rules of inference, which were added to support work on large scale projects in formal methods. Thousands of pages of fascinating, exemplary, mathematically-checked input are described, examples that deal with very difficult questions in formal mehtods and mathematics. New material includes: Description of the new syntax, including COND, CASE, LET, LIST*, and backquote; describes some higher order inference procedures, including"constrained functions"and"functional instantiation"; documents more sophisticated control machinery for manipulating very large theories; introduces a secure proof-checking environment; describes thousands of pages of fascinating example input dealing with very difficult questions in formal methods and mathematics; provides a formal parserfor the syntax; compares the proof complexity of many interesting checked examples; includes much new tutorial help, especially for the many new features. A computational logic is a mathematical logic that is both oriented towards discussion of computation and mechanised so that proofs can be checked by computation. The computational logic discussed in the handbook is that developed by Boyer & Moore. The first edition, published in 1988, is an acknowledged classic in the field of formal methods and computational logic. However it no longer reflects existing technology. The second edition provides a complete overview of the Boyer/Moore theorem proving approach (Nqthm) and provides examples. It includes several significant new features that have been aded to the Nquthm system since 1988. The book is structured in thefollowing way: Part 1 discusses logic without regard for its mechanisation and answers the question what are the axioms and rules of inference? Part 2 discusses its mechanisation and answers the question how does one use the Boyer/Moore theorem prover to prove theorems?

Foundations of Logic Programming

J. W. Lloyd
Foundations of Logic Programming Book PDF

Author : J. W. Lloyd
Publisher : Springer Science & Business Media
Page : 135 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642968266

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Foundations of Logic Programming by J. W. Lloyd Pdf

This book gives an account oC the mathematical Coundations oC logic programming. I have attempted to make the book selC-contained by including prooCs of almost all the results needed. The only prerequisites are some Camiliarity with a logic programming language, such as PROLOG, and a certain mathematical maturity. For example, the reader should be Camiliar with induction arguments and be comCortable manipulating logical expressions. Also the last chapter assumes some acquaintance with the elementary aspects of metric spaces, especially properties oC continuous mappings and compact spaces. Chapter 1 presents the declarative aspects of logic programming. This chapter contains the basic material Crom first order logic and fixpoint theory which will be required. The main concepts discussed here are those oC a logic program, model, correct answer substitution and fixpoint. Also the unification algorithm is discussed in some detail. Chapter 2 is concerned with the procedural semantics oC logic programs. The declarative concepts are implemented by means oC a specialized Corm oC resolution, called SLD-resolution. The main results of this chapter concern the soundness and completeness oC SLD-resolution and the independence oC the computation rule. We also discuss the implications of omitting the occur check from PROLOG implementations. Chapter 3 discusses negation. Current PROLOG systems implement a form of negation by means of the negation as failure rule. The main results of this chapter are the soundness and completeness oC the negation as failure rule.

Introduction to Computation

Donald Sannella,Michael Fourman,Haoran Peng,Philip Wadler
Introduction to Computation Book PDF

Author : Donald Sannella,Michael Fourman,Haoran Peng,Philip Wadler
Publisher : Springer Nature
Page : 371 pages
File Size : 44,7 Mb
Release : 2022-01-19
Category : Computers
ISBN : 9783030769086

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Introduction to Computation by Donald Sannella,Michael Fourman,Haoran Peng,Philip Wadler Pdf

Computation, itself a form of calculation, incorporates steps that include arithmetical and non-arithmetical (logical) steps following a specific set of rules (an algorithm). This uniquely accessible textbook introduces students using a very distinctive approach, quite rapidly leading them into essential topics with sufficient depth, yet in a highly intuitive manner. From core elements like sets, types, Venn diagrams and logic, to patterns of reasoning, calculus, recursion and expression trees, the book spans the breadth of key concepts and methods that will enable students to readily progress with their studies in Computer Science.

Logic for Problem Solving, Revisited

Robert Kowalski
Logic for Problem Solving Revisited Book PDF

Author : Robert Kowalski
Publisher : BoD – Books on Demand
Page : 345 pages
File Size : 42,7 Mb
Release : 2014-11-18
Category : Computers
ISBN : 9783837036299

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Logic for Problem Solving, Revisited by Robert Kowalski Pdf

This seminal book of Computer Science is the most cited reference on the subject of programming in logic. Originally published in 1979, this now classic text was the first comprehensive attempt to define the scope of logic for problem solving. In this extended edition, Robert Kowalski revisits his classic text in the light of subsequent developments in a substantial commentary of fifty pages. This work investigates the application of logic to problem-solving and computer programming. It assumes no previous knowledge of these fields, and may be appropriate therefore as an introduction to logic, the theory of problem-solving, and computer programming. At the focal point is Computational Logic. It centers around the famous slogan: Algorithm = Logic + Control, which was coined by the author and is explained in this book. According to this view, an algorithm consists of a problem description (the logic part) and a strategy to perform useful computations on this description (the control part). This separation of concerns ideally leads to declarative programs that are simple to develop, clear to understand and easy to maintain.

Mathematical Aspects of Logic Programming Semantics

Pascal Hitzler,Anthony Seda
Mathematical Aspects of Logic Programming Semantics Book PDF

Author : Pascal Hitzler,Anthony Seda
Publisher : CRC Press
Page : 305 pages
File Size : 50,8 Mb
Release : 2016-04-19
Category : Computers
ISBN : 9781439829622

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Mathematical Aspects of Logic Programming Semantics by Pascal Hitzler,Anthony Seda Pdf

Covering the authors' own state-of-the-art research results, this book presents a rigorous, modern account of the mathematical methods and tools required for the semantic analysis of logic programs. It significantly extends the tools and methods from traditional order theory to include nonconventional methods from mathematical analysis that depend on topology, domain theory, generalized distance functions, and associated fixed-point theory. The authors closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks.

Introduction to Logic Programming

Christopher John Hogger
Introduction to Logic Programming Book PDF

Author : Christopher John Hogger
Publisher : Unknown
Page : 300 pages
File Size : 55,6 Mb
Release : 1984
Category : Computers
ISBN : UOM:39015012051168

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Introduction to Logic Programming by Christopher John Hogger Pdf

Representation and reasoning; Logic programs; Programming style; Data structures; Program verification; Formal program synthesis; Implementation; Broader contributions to computing.

A Computational Logic

Robert S. Boyer,J Strother Moore
A Computational Logic Book PDF

Author : Robert S. Boyer,J Strother Moore
Publisher : Academic Press
Page : 414 pages
File Size : 50,5 Mb
Release : 2014-06-25
Category : Mathematics
ISBN : 9781483277882

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A Computational Logic by Robert S. Boyer,J Strother Moore Pdf

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.

Time & Logic

Leonard Bolc,Andrzej Szałas
Time Logic Book PDF

Author : Leonard Bolc,Andrzej Szałas
Publisher : Routledge
Page : 207 pages
File Size : 41,5 Mb
Release : 2019-10-24
Category : Philosophy
ISBN : 9781000507317

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Time & Logic by Leonard Bolc,Andrzej Szałas Pdf

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

Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo
Computational Logic and Set Theory Book PDF

Author : Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo
Publisher : Springer Science & Business Media
Page : 416 pages
File Size : 51,5 Mb
Release : 2011-07-16
Category : Computers
ISBN : 0857298089

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Computational Logic and Set Theory by Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo Pdf

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.

Introduction to Logic Programming

Michael Genesereth,Vinay K. Chaudhri
Introduction to Logic Programming Book PDF

Author : Michael Genesereth,Vinay K. Chaudhri
Publisher : Morgan & Claypool
Page : 220 pages
File Size : 44,5 Mb
Release : 2020-02-10
Category : Computers
ISBN : 1681737221

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Introduction to Logic Programming by Michael Genesereth,Vinay K. Chaudhri Pdf

Logic Programming is a style of programming in which programs take the form of sets of sentences in the language of Symbolic Logic. Over the years, there has been growing interest in Logic Programming due to applications in deductive databases, automated worksheets, Enterprise Management (business rules), Computational Law, and General Game Playing. This book introduces Logic Programming theory, current technology, and popular applications. In this volume, we take an innovative, model-theoretic approach to logic programming. We begin with the fundamental notion of datasets, i.e., sets of ground atoms. Given this fundamental notion, we introduce views, i.e., virtual relations; and we define classical logic programs as sets of view definitions, written using traditional Prolog-like notation but with semantics given in terms of datasets rather than implementation. We then introduce actions, i.e., additions and deletions of ground atoms; and we define dynamic logic programs as sets of action definitions. In addition to the printed book, there is an online version of the text with an interpreter and a compiler for the language used in the text and an integrated development environment for use in developing and deploying practical logic programs. "This is a book for the 21st century: presenting an elegant and innovative perspective on logic programming. Unlike other texts, it takes datasets as a fundamental notion, thereby bridging the gap between programming languages and knowledge representation languages; and it treats updates on an equal footing with datasets, leading to a sound and practical treatment of action and change." - Bob Kowalski, Professor Emeritus, Imperial College London "In a world where Deep Learning and Python are the talk of the day, this book is a remarkable development. It introduces the reader to the fundamentals of traditional Logic Programming and makes clear the benefits of using the technology to create runnable specifications for complex systems." - Son Cao Tran, Professor in Computer Science, New Mexico State University "Excellent introduction to the fundamentals of Logic Programming. The book is well-written and well-structured. Concepts are explained clearly and the gradually increasing complexity of exercises makes it so that one can understand easy notions quickly before moving on to more difficult ideas." - George Younger, student, Stanford University