Download or read book Automated Deduction in Equational Logic and Cubic Curves written by William McCune and published by Springer Science & Business Media. This book was released on 1996-06-12 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is the result of the cooperation of a mathematician working in universal algebra and geometry, and a computer scientist working in automated deduction, who succeeded in employing the theorem prover Otter for proving first order theorems from mathematics and then intensified their joint effort. Mathematicians will find many new results from equational logic, universal algebra, and algebraic geometry and benefit from the state-of-the-art outline of the capabilities of automated deduction techniques. Computer scientists will find a large and varied source of theorems and problems that will be useful in designing and evaluation automated theorem proving systems and strategies.
Download or read book Fuzzy Equational Logic written by Radim Belohlávek and published by Springer Science & Business Media. This book was released on 2005-08-26 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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:
Download or read book Equational Logic written by Walter Taylor and published by . This book was released on 1979 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
Download or read book Constraints in Computational Logics Theory and Applications written by Hubert Comon and published by Springer. This book was released on 2003-08-06 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constraints provide a declarative way of representing infinite sets of data. They are well suited for combining different logical or programming paradigms as has been known for constraint logic programming since the 1980s and more recently for functional programming. The use of constraints in automated deduction is more recent and has proved to be very successful, moving the control from the meta-level to the constraints, which are now first-class objects. This monograph-like book presents six thoroughly reviewed and revised lectures given by leading researchers at the summer school organized by the ESPRIT CCL Working Group in Gif-sur-Yvette, France, in September 1999. The book offers coherently written chapters on constraints and constraint solving, constraint solving on terms, combining constraint solving, constraints and theorem proving, functional and constraint logic programming, and building industrial applications.
Download or read book Constraints in Computational Logics Theory and Applications written by Hubert Comon and published by Springer Science & Business Media. This book was released on 2001-04-18 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constraints and constraint solving : an introduction / Jean-Pierre Jouannaud / - Constraint solving on terms / Hubert Comon / - Combining constraint solving / Franz Baader / - Constraints and theorem proving / Harald Ganzinger / - Functional and constraint logic programming / Mario Rodríguez-Artalejo / - Building industrial applications with constraint programming / Helmut Simonis.
Download or read book Types for Proofs and Programs written by Stefano Berardi and published by Springer Science & Business Media. This book was released on 1996-10-02 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a refereed selection of revised full papers chosen from the contributions presented during the Third Annual Workshop held under the auspices of the ESPRIT Basic Research Action 6453 Types for Proofs and Programs. The workshop took place in Torino, Italy, in June 1995. Type theory is a formalism in which theorems and proofs, specifications and programs can be represented in a uniform way. The 19 papers included in the book deal with foundations of type theory, logical frameworks, and implementations and applications; all in all they constitute a state-of-the-art survey for the area of type theory.
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.
Download or read book All About Maude A High Performance Logical Framework written by Manuel Clavel and published by Springer. This book was released on 2007-07-19 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maude is a language and system based on rewriting logic. In this comprehensive account, you’ll discover how Maude and its formal tool environment can be used in three mutually reinforcing ways: as a declarative programming language, as an executable formal specification language, and as a formal verification system. Examples used throughout the book illustrate key concepts, features, and the many practical uses of Maude.
Download or read book Recent Trends in Data Type Specification written by Magne Haveraaen and published by Springer Science & Business Media. This book was released on 1996-09-04 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a strictly refereed selection of revised full papers chosen from the papers accepted for presentation during the 11th Workshop on Abstract Data Types held jointly with the 8th COMPASS Workshop in Oslo, Norway, in September 1995. The 25 research papers included were chosen from 57 pre-selected workshop presentations; also included are six invited contributions. The volume reports the progress achieved in the area of algebraic specification since the predecessor meeting held in May 1994.
Download or read book Process Algebra with Timing written by J.C.M. Baeten and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Timing issues are of growing importance for the conceptualization and design of computer-based systems. Timing may simply be essential for the correct behaviour of a system, e.g. of a controller. Even if timing is not essential for the correct behaviour of a system, there may be good reasons to introduce it in such a way that suitable timing becomes relevant for the correct behaviour of a complex system. This book is unique in presenting four algebraic theories about processes, each dealing with timing from a different point of view, in a coherent and systematic way. The timing of actions is either relative or absolute and the underlying time scale is either discrete or continuous.
Download or read book Foundations of Algebraic Specification and Formal Software Development written by Donald Sannella and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides foundations for software specification and formal software development from the perspective of work on algebraic specification, concentrating on developing basic concepts and studying their fundamental properties. These foundations are built on a solid mathematical basis, using elements of universal algebra, category theory and logic, and this mathematical toolbox provides a convenient language for precisely formulating the concepts involved in software specification and development. Once formally defined, these notions become subject to mathematical investigation, and this interplay between mathematics and software engineering yields results that are mathematically interesting, conceptually revealing, and practically useful. The theory presented by the authors has its origins in work on algebraic specifications that started in the early 1970s, and their treatment is comprehensive. This book contains five kinds of material: the requisite mathematical foundations; traditional algebraic specifications; elements of the theory of institutions; formal specification and development; and proof methods. While the book is self-contained, mathematical maturity and familiarity with the problems of software engineering is required; and in the examples that directly relate to programming, the authors assume acquaintance with the concepts of functional programming. The book will be of value to researchers and advanced graduate students in the areas of programming and theoretical computer science.
Download or read book Formal Methods Foundations and Applications written by Márcio Cornélio and published by Springer. This book was released on 2016-01-23 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised selected papers from the 18th Brazilian Symposium on Formal Methods, SBMF 2015, which took place in Belo Horizonte, Brazil, in September 2015. The 11 papers presented in this volume were carefully reviewed and selected from 25 submissions. They were organized in topical sections named: model checking; languages and semantics; refinement and verification; testing and evaluation.
Download or read book Functional and Logic Programming written by Aart Middeldorp and published by Springer Science & Business Media. This book was released on 1999-10-27 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the 4th Fuji International S- posium on Functional and Logic Programming (FLOPS’99) held in Tsukuba, Japan, November 11–13, 1999, and hosted by the Electrotechnical Laboratory (ETL). FLOPS is a forum for presenting and discussing all issues concerning functional programming, logic programming, and their integration. The sym- sium takes place about every 1.5 years in Japan. Previous FLOPS meetings were held in Fuji Susuno (1995), Shonan Village (1996), and Kyoto (1998). 1 There were 51 submissions from Austria ( ),Belgium (2),Brazil(3),China 3 3 1 7 (1), Denmark (2), France (3 ), Germany (8), Ireland (1), Israel ( ), Italy (1 ), 4 3 12 1 Japan (9 ), Korea (1), Morocco (1), The Netherlands (1), New Zealand (1), 3 1 1 3 5 Portugal ( ), Singapore ( ), Slovakia (1), Spain (4 ), Sweden (1), UK (4 ), 2 3 4 6 1 and USA (2 ), of which the program committee selected 21 for presentation. In 4 addition, this volume contains full papers by the two invited speakers, Atsushi Ohori and Mario Rodr ́?guez-Artalejo.
