Equational Logic
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Fuzzy Equational Logic
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Author : Radim Belohlávek
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-26
Fuzzy Equational Logic written by Radim Belohlávek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-26 with Computers categories.
Foundations Of Equational Logic Programming
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Author : Steffen Hölldobler
language : en
Publisher: Lecture Notes in Artificial Intelligence
Release Date : 1989
Foundations Of Equational Logic Programming written by Steffen Hölldobler and has been published by Lecture Notes in Artificial Intelligence this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Computers categories.
Equations play a vital role in many fields of mathematics, computer science, and artificial intelligence. Therefore, many proposals have been made to integrate equational, functional, and logic programming. This book presents the foundations of equational logic programming. After generalizing logic programming by augmenting programs with a conditional equational theory, the author defines a unifying framework for logic programming, equation solving, universal unification, and term rewriting. Within this framework many known results are developed. In particular, a presentation of the least model and the fixpoint semantics of equational logic programs is followed by a rigorous proof of the soundness and the strong completeness of various proof techniques: SLDE-resolution, where a universal unification procedure replaces the traditional unification algorithm; linear paramodulation and special forms of it such as rewriting and narrowing; complete sets of transformations for conditional equational theories; and lazy resolution combined with any complete set of inference rules for conditional equational theories.
Equational Logic As A Programming Language
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Author : Michael J. O'Donnell
language : en
Publisher: MIT Press (MA)
Release Date : 1985
Equational Logic As A Programming Language written by Michael J. O'Donnell and has been published by MIT Press (MA) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Computers categories.
This book describes an ongoing equational programming project that started in 1975. Within the project an equational programming language interpreter has been designed and implemented. The first part of the text (Chapters 1-10) provides a user's manual for the current implementation. The remaining sections cover the following topics: programming techniques and applications, theoretical foundations, implementation issues. Giving a brief account of the project's history (Chapter 11), the author devotes a large part of the text to techniques of equational programming at different levels of abstraction. Chapter 12 discusses low-level techniques including the distinction of constructors and defined functions, the formulation of conditional expressions and error and exception handling. High-level techniques are treated in Chapter 15 by discussing concurrency, nondeterminism, the relationship to dataflow programs and the transformation of recursive programs called dynamic programming. In Chapter 16 the author shows how to efficiently implement common data structures by equational programs. Modularity is discussed in Chapter 14. Several applications are also presented in the book. The author demonstrates the versatility of equational programming style by implementing syntactic manipulation algorithms (Chapter 13). Theoretical foundations are introduced in Chapter 17 (term rewriting systems, herein called term reduction systems). In Chapter 19 the author raises the question of a universal equational machine language and discusses the suitability of different variants of the combinator calculus for this purpose. Implementation issues are covered in Chapters 18 and 20 focused around algorithms for efficient pattern matching, sequencing and reduction. Aspects of design and coordination of the syntactic processors are presented as well.
Logic Based Program Synthesis And Transformation
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Author : Maribel Fernández
language : en
Publisher: Springer Nature
Release Date : 2021-02-12
Logic Based Program Synthesis And Transformation written by Maribel Fernández and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-12 with Computers categories.
This book constitutes the refereed proceedings of the 30th International Conference on Logic-Based Program Synthesis and Transformation, LOPSTR 2020, which was held during September 7-9, 2020. The 15 papers presented in this volume were carefully reviewed and selected from a total of 31 submissions. The book also contains two invited talks in full paper length. The contributions were organized in topical sections named: rewriting; unification; types; verification; model checking and probabilistic programming; program analysis and testing; and logics.
Logical Environments
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Author : Gerard Huet
language : en
Publisher: Cambridge University Press
Release Date : 1993-09-16
Logical Environments written by Gerard Huet and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-16 with Computers categories.
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.
Boolean Reasoning
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Author : Frank Markham Brown
language : en
Publisher: Courier Corporation
Release Date : 2012-02-10
Boolean Reasoning written by Frank Markham Brown and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-10 with Mathematics categories.
Concise text begins with overview of elementary mathematical concepts and outlines theory of Boolean algebras; defines operators for elimination, division, and expansion; covers syllogistic reasoning, solution of Boolean equations, functional deduction. 1990 edition.
Logic For Programming Artificial Intelligence And Reasoning
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Author : Edmund M. Clarke
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-04
Logic For Programming Artificial Intelligence And Reasoning written by Edmund M. Clarke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-04 with Computers categories.
This book constitutes the thoroughly refereed post-conference proceedings of the 16th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2010, which took place in Dakar, Senegal, in April/May 2010. The 27 revised full papers and 9 revised short papers presented together with 1 invited talk were carefully revised and selected from 47 submissions. The papers address all current issues in automated reasoning, computational logic, programming languages and deal with logic programming, logic-based program manipulation, formal methods, and various kinds of AI logics. Subjects covered range from theoretical aspects to various applications such as automata, linear arithmetic, verification, knowledge representation, proof theory, quantified constraints, as well as modal and temporal logics.
Handbook Of Logic In Artificial Intelligence And Logic Programming Volume 5 Logic Programming
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Author : Dov M. Gabbay
language : en
Publisher: Clarendon Press
Release Date : 1998-01-08
Handbook Of Logic In Artificial Intelligence And Logic Programming Volume 5 Logic Programming written by Dov M. Gabbay and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-08 with Computers categories.
The Handbook of Logic in Artificial Intelligence and Logic Programming is a multi-volume work covering all major areas of the application of logic to artificial intelligence and logic programming. The authors are chosen on an international basis and are leaders in the fields covered. Volume 5 is the last in this well-regarded series. Logic is now widely recognized as one of the foundational disciplines of computing. It has found applications in virtually all aspects of the subject, from software and hardware engineering to programming languages and artificial intelligence. In response to the growing need for an in-depth survey of these applications the Handbook of Logic in Artificial Intelligence and its companion, the Handbook of Logic in Computer Science have been created. The Handbooks are a combination of authoritative exposition, comprehensive survey, and fundamental research exploring the underlying themes in the various areas. Some mathematical background is assumed, and much of the material will be of interest to logicians and mathematicians. Volume 5 focuses particularly on logic programming. The chapters, which in many cases are of monograph length and scope, emphasize possible unifying themes.
A Logical Approach To Discrete Math
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Author : David Gries
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
A Logical Approach To Discrete Math written by David Gries and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Computers categories.
This text attempts to change the way we teach logic to beginning students. Instead of teaching logic as a subject in isolation, we regard it as a basic tool and show how to use it. We strive to give students a skill in the propo sitional and predicate calculi and then to exercise that skill thoroughly in applications that arise in computer science and discrete mathematics. We are not logicians, but programming methodologists, and this text reflects that perspective. We are among the first generation of scientists who are more interested in using logic than in studying it. With this text, we hope to empower further generations of computer scientists and math ematicians to become serious users of logic. Logic is the glue Logic is the glue that binds together methods of reasoning, in all domains. The traditional proof methods -for example, proof by assumption, con tradiction, mutual implication, and induction- have their basis in formal logic. Thus, whether proofs are to be presented formally or informally, a study of logic can provide understanding.
Protoalgebraic Logics
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Author : Janusz Czelakowski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Protoalgebraic Logics written by Janusz Czelakowski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
The main aim of this book is to present recent ideas in logic centered around the notion of a consequence operation. We wish to show these ideas in a factually and materially connected way, i.e., in the form of a consistent theory derived from several simple assumptions and definitions. These ideas have arisen in many research centers. The thorough study of their history can certainly be an exciting task for the historian of logic; in the book this aspect of the theory is being played down. The book belongs to abstract algebraic logic, the area of research that explores to a large extent interconnections between algebra and logic. The results presented here concern logics defined in zero-order languages (Le., quantifier-free sentential languages without predicate symbols). The reach of the theory expounded in the book is, in fact, much wider. The theory is also valid for logics defined in languages of higer orders. The problem of transferring the theory to the level of first-order languages has been satisfactorily solved and new ideas within this area have been put forward in the work of Blok and Pigozzi [1989].