Equational Logic As A Programming Language
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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.
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.
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.
Programming Language Implementation And Logic Programming
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Author : Jan Małuszyński
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-08-14
Programming Language Implementation And Logic Programming written by Jan Małuszyński 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 1991-08-14 with Computers categories.
This volume contains the papers which have been accepted for presentation atthe Third International Symposium on Programming Language Implementation andLogic Programming (PLILP '91) held in Passau, Germany, August 26-28, 1991. The aim of the symposium was to explore new declarative concepts, methods and techniques relevant for the implementation of all kinds of programming languages, whether algorithmic or declarative ones. The intention was to gather researchers from the fields of algorithmic programming languages as well as logic, functional and object-oriented programming. This volume contains the two invited talks given at the symposium by H. Ait-Kaci and D.B. MacQueen, 32 selected papers, and abstracts of several system demonstrations. The proceedings of PLILP '88 and PLILP '90 are available as Lecture Notes in Computer Science Volumes 348 and 456.
Logics Of Programs
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Author : Rohit Parikh
language : en
Publisher: Springer Science & Business Media
Release Date : 1985-06
Logics Of Programs written by Rohit Parikh 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 1985-06 with Computers categories.
Algebraic And Logic Programming
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Author : Jan Grabowski
language : en
Publisher: Springer
Release Date : 2005-07-06
Algebraic And Logic Programming written by Jan Grabowski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-06 with Computers categories.
This volume contains the proceedings of the First International Workshop on Algebraic and Logic Programming held in Gaussig (German Democratic Republic) from November 14 to 18, 1988. The workshop was devoted to Algebraic Programming, in the sense of programming by algebraic specifications and rewrite rule systems, and Logic Programming, in the sense of Horn clause specifications and resolution systems. This includes combined algebraic/logic programming systems, mutual relations and mutual implementation of programming paradigms, completeness and efficiency considerations in both fields, as well as related topics.
Equational Logic
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Author : Mathew K. Chacko
language : en
Publisher:
Release Date : 1988
Equational Logic written by Mathew K. Chacko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Equations, Theory of categories.
Algebraic And Logic Programming
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Author : Helene Kirchner
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-08-19
Algebraic And Logic Programming written by Helene Kirchner 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 1992-08-19 with Computers categories.
This volume contains the proceedings of the Third International Conference on Algebraic and Logic Programming, held in Pisa, Italy, September 2-4, 1992. Like the two previous conferences in Germany in 1988 and France in 1990, the third conference aims at strengthening the connections betweenalgebraic techniques and logic programming. On the one hand, logic programming has been very successful during the last decades and more and more systems compete in enhancing its expressive power. On the other hand, concepts like functions, equality theory, and modularity are particularly well handled in an algebraic framework. Common foundations of both approaches have recently been developed, and this conference is a forum for people from both areas to exchange ideas, results, and experiences. The book covers the following topics: semantics ofalgebraic and logic programming; integration of functional and logic programming; term rewriting, narrowing, and resolution; constraintlogic programming and theorem proving; concurrent features in algebraic and logic programming languages; and implementation issues.
Foundations Of Equational Logic Programming
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Author : Steffen Hölldobler
language : en
Publisher:
Release Date : 2007
Foundations Of Equational Logic Programming written by Steffen Hölldobler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Artificial intelligence 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.
Foundations Of Equational Logic Programming
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Author : Steffen Holldobler
language : en
Publisher:
Release Date : 2014-01-15
Foundations Of Equational Logic Programming written by Steffen Holldobler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.