Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Equational Logic As A Programming Language
Download Equational Logic As A Programming Language full books in PDF, epub, and Kindle. Read online Equational Logic As A Programming Language ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Equational Logic as a Programming Language by : Michael J. O'Donnell
Download or read book Equational Logic as a Programming Language written by Michael J. O'Donnell and published by MIT Press (MA). This book was released on 1985 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Solving Higher-Order Equations by : Christian Prehofer
Download or read book Solving Higher-Order Equations written by Christian Prehofer and published by Springer Science & Business Media. This book was released on 1998 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops techniques for equational reasoning in higher-order logic. Due to its expressiveness, higher-order logic is used for specification and verification of hardware, software, and mathematics. In these applica tions, higher-order logic provides the necessary level of abstraction for con cise and natural formulations. The main assets of higher-order logic are quan tification over functions or predicates and its abstraction mechanism. These allow one to represent quantification in formulas and other variable-binding constructs. In this book, we focus on equational logic as a fundamental and natural concept in computer science and mathematics. We present calculi for equa tional reasoning modulo higher-order equations presented as rewrite rules. This is followed by a systematic development from general equational rea soning towards effective calculi for declarative programming in higher-order logic and A-calculus. This aims at integrating and generalizing declarative programming models such as functional and logic programming. In these two prominent declarative computation models we can view a program as a logical theory and a computation as a deduction.
Book Synopsis Equational Logic by : Mathew K. Chacko
Download or read book Equational Logic written by Mathew K. Chacko and published by . This book was released on 1988 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Equational Logic Programming by : Steffen Hölldobler
Download or read book Foundations of Equational Logic Programming written by Steffen Hölldobler and published by Lecture Notes in Artificial Intelligence. This book was released on 1989 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Foundations of Equational Logic Programming by : Steffen Holldobler
Download or read book Foundations of Equational Logic Programming written by Steffen Holldobler and published by . This book was released on 2014-01-15 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Equational Programming by : Nachum Dershowitz
Download or read book Equational Programming written by Nachum Dershowitz and published by . This book was released on 1986 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solving Higher-Order Equations by : Christian Prehofer
Download or read book Solving Higher-Order Equations written by Christian Prehofer and published by Birkhäuser. This book was released on 2012-10-21 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops techniques for equational reasoning in higher-order logic. Due to its expressiveness, higher-order logic is used for specification and verification of hardware, software, and mathematics. In these applica tions, higher-order logic provides the necessary level of abstraction for con cise and natural formulations. The main assets of higher-order logic are quan tification over functions or predicates and its abstraction mechanism. These allow one to represent quantification in formulas and other variable-binding constructs. In this book, we focus on equational logic as a fundamental and natural concept in computer science and mathematics. We present calculi for equa tional reasoning modulo higher-order equations presented as rewrite rules. This is followed by a systematic development from general equational rea soning towards effective calculi for declarative programming in higher-order logic and A-calculus. This aims at integrating and generalizing declarative programming models such as functional and logic programming. In these two prominent declarative computation models we can view a program as a logical theory and a computation as a deduction.
Book Synopsis Category-based Semantics for Equational and Constraint Logic Programming by : Răzvan Diaconescu
Download or read book Category-based Semantics for Equational and Constraint Logic Programming written by Răzvan Diaconescu and published by . This book was released on 1994 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This thesis proposes a general framework for equational logic programming, called category-based equational logic by placing the general principles underlying the design of the programming language Eqlog and formulated by Goguen and Meseguer into an abstract form. This framework generalises equational deduction to an arbitrary category satisfying certain natural conditions; completeness is proved under a hypothesis of quantifier projectivity, using a semantic treatment that regards quantifiers as models rather than variables, and regards valuations as model morphisms rather than functions. This is used as a basis for a model theoretic category-based approach to a paramodulation- based operational semantics for equational logic programming languages. Category-based equational logic in conjunction with the theory of institutions is used to give mathematical foundations for modularisation in equational logic programming. We study the soundness and completeness problem for module imports in the context of a category-based semantics for solutions to equational logic programming queries. Constraint logic programming is integrated into the equational logic programming paradigm by showing that constraint logics are a particular case of category-based equational logic. This follows the methodology of free expansions of models for built-ins along signature inclusions as sketched by Goguen and Meseguer in their papers on Eqlog. The mathematical foundations of constraint logic programming are based on a Herbrand Theorem for constraint logics; this is obtained as an instance of a more general category-based version of Herbrand's Theorem. The results in this thesis apply to equational and constraint logic programming languages that are based on a variety of equational logical systems including many and order sorted equational logics, Horn clause logic, equational logic modulo a theory, constraint logics, and more, as well as any possible combination between them. More importantly, this thesis gives the possibility for developing the equational logic (programming) paradigm over non-conventional structures and thus significantly extending it beyond its tradition."
Book Synopsis Logic Programming, Functions, Relations, and Equations by : Doug DeGroot
Download or read book Logic Programming, Functions, Relations, and Equations written by Doug DeGroot and published by Prentice Hall. This book was released on 1986 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Setting the stage; Unification and functional programming; Symmetric combinations; Programming with equality; Augmented unification; Semantic foundations.
Book Synopsis Iteration Theories by : Stephen L. Bloom
Download or read book Iteration Theories written by Stephen L. Bloom and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains the results of our joint research over the last ten years on the logic of the fixed point operation. The intended au dience consists of graduate students and research scientists interested in mathematical treatments of semantics. We assume the reader has a good mathematical background, although we provide some prelimi nary facts in Chapter 1. Written both for graduate students and research scientists in theoret ical computer science and mathematics, the book provides a detailed investigation of the properties of the fixed point or iteration operation. Iteration plays a fundamental role in the theory of computation: for example, in the theory of automata, in formal language theory, in the study of formal power series, in the semantics of flowchart algorithms and programming languages, and in circular data type definitions. It is shown that in all structures that have been used as semantical models, the equational properties of the fixed point operation are cap tured by the axioms describing iteration theories. These structures include ordered algebras, partial functions, relations, finitary and in finitary regular languages, trees, synchronization trees, 2-categories, and others.
Book Synopsis Equational Logic Programming by : M. H. Van Emden
Download or read book Equational Logic Programming written by M. H. Van Emden and published by Faculty of Mathematics, University of Waterloo. This book was released on 1986 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic and Logic Programming by : Hélène Kirchner
Download or read book Algebraic and Logic Programming written by Hélène Kirchner and published by Springer Science & Business Media. This book was released on 1992-08-19 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Inductive Equational Logic Programming by : Arthur A. McDonald
Download or read book Inductive Equational Logic Programming written by Arthur A. McDonald and published by . This book was released on 2018 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis FLPL a Functional Logic Programming Language by : Saeed Jalili
Download or read book FLPL a Functional Logic Programming Language written by Saeed Jalili and published by . This book was released on 1991 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: FUNCTIONAL LOGIC PROGRAMMING, LOGIC PROGRAMMING, FUNCTIONAL PROGRAMMING, EQUATIONAL LOGIC, CONDITIONAL TERM REWRITING, CONDITIONAL REDUCTION, CONDITIONAL NARROWING, FLATTENING, SLD RESOLUTION.
Book Synopsis Logic, Programming and Prolog by : Ulf Nilsson
Download or read book Logic, Programming and Prolog written by Ulf Nilsson and published by . This book was released on 1995-08-30 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: What sets this book apart from others on logic programming is the breadth of its coverage. The authors have achieved a fine balance between a clear and authoritative treatment of the theory and a practical, problem-solving approach to its applications. This edition introduces major new developments in a continually evolving field and includes such topics as concurrency and equational and constraint logic programming.
Book Synopsis Advances in Logic Programming and Automated Reasoning by : Ralph W. Wilkerson
Download or read book Advances in Logic Programming and Automated Reasoning written by Ralph W. Wilkerson and published by Intellect (UK). This book was released on 1992 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series reviews research contributions in logic programming and automated reasoning and is desinged to stimulate and sustain new, productive lines of investigation into symbolic and algebraic computing techniques as they relate to logic programming and automate reasoning. Topics covered include equational reasoning, parallel programming in logic, term rewriting systems, control of logic programs, completion procedures, unification and matching algorithms, design and implementation of deduction systems, logical methods of knowledge representation, logic-based inference techniques, and programs synthesis and verification.
Book Synopsis Logic and Objects by : Frank G. McCabe
Download or read book Logic and Objects written by Frank G. McCabe and published by . This book was released on 1992 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The issues involved in augmenting logic programming with object-oriented features are explored in this book. A new language built on top of logic is introduced and programming examples illustrate the power of the extension, highlighting inheritance, and the construction of modules.
