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Author : Steffen Hölldobler
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (945 download)
Download or read book Conditional equational theories and complete sets of transformation written by Steffen Hölldobler and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steffen Hölldobler
Publisher : Lecture Notes in Artificial Intelligence
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (43 download)
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 264 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.
Author : Hélène Kirchner
Publisher : Springer Science & Business Media
ISBN 13 : 9783540558736
Total Pages : 476 pages
Book Rating : 4.5/5 (587 download)
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.
Author : G. Sivakumar
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (31 download)
Download or read book Proofs and Computations in Conditional Equational Theories written by G. Sivakumar and published by . This book was released on 1989 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Snyder
Publisher : Springer Science & Business Media
ISBN 13 : 1461204356
Total Pages : 181 pages
Book Rating : 4.4/5 (612 download)
Download or read book A Proof Theory for General Unification written by W. Snyder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph we study two generalizations of standard unification, E-unification and higher-order unification, using an abstract approach orig inated by Herbrand and developed in the case of standard first-order unifi cation by Martelli and Montanari. The formalism presents the unification computation as a set of non-deterministic transformation rules for con verting a set of equations to be unified into an explicit representation of a unifier (if such exists). This provides an abstract and mathematically elegant means of analysing the properties of unification in various settings by providing a clean separation of the logical issues from the specification of procedural information, and amounts to a set of 'inference rules' for unification, hence the title of this book. We derive the set of transformations for general E-unification and higher order unification from an analysis of the sense in which terms are 'the same' after application of a unifying substitution. In both cases, this results in a simple extension of the set of basic transformations given by Herbrand Martelli-Montanari for standard unification, and shows clearly the basic relationships of the fundamental operations necessary in each case, and thus the underlying structure of the most important classes of term unifi cation problems.
Author : Stephane Kaplan
Publisher : Springer Science & Business Media
ISBN 13 : 9783540543176
Total Pages : 500 pages
Book Rating : 4.5/5 (431 download)
Download or read book Conditional and Typed Rewriting Systems written by Stephane Kaplan and published by Springer Science & Business Media. This book was released on 1991-08-07 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, extensions of rewriting techniques that go beyond the traditional untyped algebraic rewriting framework have been investigated and developed. Among these extensions, conditional and typed systems are particularly important, as are higher-order systems, graph rewriting systems, etc. The international CTRS (Conditional and Typed Rewriting Systems) workshops are intended to offer a forum for researchers on such extensions of rewriting techniques. This volume presents the proceedings of the second CTRS workshop, which contributed to discussion and evaluation of new directions of research. (The proceedings of the first CTRS workshop are in Lecture Notes in Computer Science, Vol. 308.) Several important directions for extensions of rewriting techniques were stressed, which are reflected in the organization of the chapters in this volume: - Theory of conditional and Horn clause systems, - Infinite terms, non-terminating systems, and termination, - Extension of Knuth-Bendix completion, - Combined systems, combined languages and modularity, - Architecture, compilers and parallel computation, - Basic frameworks for typed and order-sorted systems, - Extension of unification and narrowing techniques.
Author :
Publisher : IOS Press
ISBN 13 : 9784274077241
Total Pages : 788 pages
Book Rating : 4.0/5 (772 download)
Download or read book FGCS '92 written by and published by IOS Press. This book was released on 1992 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Małuszyński
Publisher : Springer Science & Business Media
ISBN 13 : 9783540544449
Total Pages : 452 pages
Book Rating : 4.5/5 (444 download)
Download or read book Programming Language Implementation and Logic Programming written by Jan Małuszyński and published by Springer Science & Business Media. This book was released on 1991-08-14 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Andrew Russell Forsyth
Publisher :
ISBN 13 :
Total Pages : 626 pages
Book Rating : 4.:/5 (334 download)
Download or read book Theory of Differential Equations written by Andrew Russell Forsyth and published by . This book was released on 1906 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrew Russell Forsyth
Publisher : CUP Archive
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4./5 ( download)
Download or read book Theory of Differential Equations written by Andrew Russell Forsyth and published by CUP Archive. This book was released on 1959 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dazhong Lao
Publisher : Springer Nature
ISBN 13 : 9811560706
Total Pages : 1006 pages
Book Rating : 4.8/5 (115 download)
Download or read book Fundamental Theories and Their Applications of the Calculus of Variations written by Dazhong Lao and published by Springer Nature. This book was released on 2020-09-02 with total page 1006 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the calculus of variations, including fundamental theories and applications. This textbook is intended for graduate and higher-level college and university students, introducing them to the basic concepts and calculation methods used in the calculus of variations. It covers the preliminaries, variational problems with fixed boundaries, sufficient conditions of extrema of functionals, problems with undetermined boundaries, variational problems of conditional extrema, variational problems in parametric forms, variational principles, direct methods for variational problems, variational principles in mechanics and their applications, and variational problems of functionals with vector, tensor and Hamiltonian operators. Many of the contributions are based on the authors’ research, addressing topics such as the extension of the connotation of the Hilbert adjoint operator, definitions of the other three kinds of adjoint operators, the extremum function theorem of the complete functional, unified Euler equations in variational methods, variational theories of functionals with vectors, modulus of vectors, arbitrary order tensors, Hamiltonian operators and Hamiltonian operator strings, reconciling the Euler equations and the natural boundary conditions, and the application range of variational methods. The book is also a valuable reference resource for teachers as well as science and technology professionals.
Author : A Min Tjoa
Publisher : Springer Science & Business Media
ISBN 13 : 3709175577
Total Pages : 566 pages
Book Rating : 4.7/5 (91 download)
Download or read book Database and Expert Systems Applications written by A Min Tjoa and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Database and Expert Systems Application -DEXA - conferences are mainly oriented to establish a state-of-the art forum on Database and Expert System applications. But Practice without Theory has no sense, as Leonardo said five centuries ago. In this Conference we try a comprornise between these two complementary aspects. A total of 5 sessions are application-oriented, ranging from classical applications to more unusual ones in Software Engineering. Recent research aspects in Databases, such as activity, deductivity and/or Object Orientation are also present in DEXA 92, as weIl as the implication of the new "data models" such as OO-Model, Deductive Model, etc .. included in the Modelling sessions. Other areas of interest, such as Hyper-Text and Multimedia application, together with the classical field of Information Retrieval are also considered. FinaIly, Implementation Apects are reflected in very concrete fields. A total of of nearly 200 papers submitted from all over the world were sent to DEXA 92. Only 90 could be accepted. A Poster session has also been establishcd. DEXA 90 was held in Vienna, Austria; DEXA 91 in Berlin, Germany; and DEXA 92 will take place in Valencia, Spain, where we are celebrating the discovery of thc New World just five centurics ago, in Leonardo's age. Both the quality of the Conference and the compromise between Practice and Thcory are duc to the credit of all the DEXA 92 authors.
Author : Alan J.A. Robinson
Publisher : Gulf Professional Publishing
ISBN 13 : 9780444829498
Total Pages : 1004 pages
Book Rating : 4.8/5 (294 download)
Download or read book Handbook of Automated Reasoning written by Alan J.A. Robinson and published by Gulf Professional Publishing. This book was released on 2001-06-21 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Automated Reasoning.
Author : Hassan Aït-Kaci
Publisher : Academic Press
ISBN 13 : 1483259676
Total Pages : 400 pages
Book Rating : 4.4/5 (832 download)
Download or read book Rewriting Techniques written by Hassan Aït-Kaci and published by Academic Press. This book was released on 2014-05-10 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Resolution of Equations in Algebraic Structures: Volume 2, Rewriting Techniques is a collection of papers dealing with the construction of canonical rewrite systems, constraint handling in logic programming, and completion algorithms for conditional rewriting systems. Papers discuss the Knuth-Bendix completion method which constructs a complete system for a given set of equations, including extensions of the method dealing with termination, unfailing completion, and associative-communicative completion. One paper examines the various practical techniques that can be used to extend Prolog as a constraint solver, particularly on techniques that solve boolean equations, imposing inequality, disequality, and finitary domain constraints on variables. Another paper presents a sufficient condition for confluence of conditional rewriting, and a practical unification algorithm modulo conditional rewriting through the notion of conditional narrowing. One paper analyzes the possibility of using completion for inductive proofs in the initial algebra of an equational variety without explicit induction. Another papers discusses solving systems of word equations in the free monoid and the free group, where a solution is defined as a word homomorphism. Programmers, mathematicians, students, and instructors involved in computer science and computer logic will find this collection valuable.
Author : Forsyth
Publisher : Cambridge University Press
ISBN 13 : 1107692741
Total Pages : 611 pages
Book Rating : 4.1/5 (76 download)
Download or read book Theory of Differential Equations written by Forsyth and published by Cambridge University Press. This book was released on 2011 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marek Kuczma
Publisher : Springer Science & Business Media
ISBN 13 : 3764387491
Total Pages : 595 pages
Book Rating : 4.7/5 (643 download)
Download or read book An Introduction to the Theory of Functional Equations and Inequalities written by Marek Kuczma and published by Springer Science & Business Media. This book was released on 2009-03-12 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991. After finishing high school in his home town, he studied at the Jagiellonian University in Kraków. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he obtained a position at the Katowice branch of the Jagiellonian University (now University of Silesia, Katowice), and worked there till his death. Besides his several administrative positions and his outstanding teaching activity, he accomplished excellent and rich scientific work publishing three monographs and 180 scientific papers. He is considered to be the founder of the celebrated Polish school of functional equations and inequalities. "The second half of the title of this book describes its contents adequately. Probably even the most devoted specialist would not have thought that about 300 pages can be written just about the Cauchy equation (and on some closely related equations and inequalities). And the book is by no means chatty, and does not even claim completeness. Part I lists the required preliminary knowledge in set and measure theory, topology and algebra. Part II gives details on solutions of the Cauchy equation and of the Jensen inequality [...], in particular on continuous convex functions, Hamel bases, on inequalities following from the Jensen inequality [...]. Part III deals with related equations and inequalities (in particular, Pexider, Hosszú, and conditional equations, derivations, convex functions of higher order, subadditive functions and stability theorems). It concludes with an excursion into the field of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews) "This book is a real holiday for all the mathematicians independently of their strict speciality. One can imagine what deliciousness represents this book for functional equationists." (B. Crstici, Zentralblatt für Mathematik)
Author :
Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.3/5 (91 download)
Download or read book Algebraic and Logic Programming written by and published by . This book was released on 1992 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
