Download or read book First order Unification in Equational Theories and Its Application to Logic Programming written by Jia-Huai You and published by . This book was released on 1985 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solving Higher Order Equations written by Christian Prehofer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 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.
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.
Download or read book Instantiation Theory written by James G. Williams and published by Springer Science & Business Media. This book was released on 1991-08-07 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instantiation Theory presents a new, general unification algorithm that is of immediate use in building theorem provers and logic programming systems. Instantiation theory is the study of instantiation in an abstract context that is applicable to most commonly studied logical formalisms. The volume begins with a survey of general approaches to the study of instantiation, as found in tree systems, order-sorted algebras, algebraic theories, composita, and instantiation systems. A classification of instantiation systems is given, based on properties of substitutions, degree of type strictness, and well-foundedness of terms. Equational theories and the use of typed variables are studied in terms of quotient homomorphisms and embeddings, respectively. Every instantiation system is a quotient system of a subsystem of first-order term instantiation. The general unification algorithm is developed as an application of the basic theory. Its soundness is rigorously proved, and its completeness and efficiency are verfied for certain classes of instantiation systems. Appropriate applications of the algorithm include unification of first-order terms, order-sorted terms, and first-order formulas modulo alpha-conversion, as well as equational unification using simple congruences.
Download or read book Algebraic and Logic Programming written by Michael Hanus and published by Springer Science & Business Media. This book was released on 1997-08-20 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Conference on Algebraic and Logic Programming, ALP '97 and the 3rd International Workshop on Higher-Order Algebra, Logic and Term Rewriting, HOA '97, held jointly in Southampton, UK, in September 1997. The 18 revised full papers presented in the book were selected from 31 submissions. The volume is divided in sections on functional and logic programming, higher-order methods, term rewriting, types, lambda-calculus, and theorem proving methods.
Download or read book Logic Programming and Automated Reasoning written by Frank Pfenning and published by Springer Science & Business Media. This book was released on 1994-06-22 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the 5th International Conference on Logic Programming and Automated Reasoning, held aboard the ship "Marshal Koshevoi" on the Dnieper near Kiev, Ukraine in July 1994. The LPAR conferences are held annually in the former Soviet Union and aimed at bringing together researchers interested in LP and AR. This proceedings contains the full versions of the 24 accepted papers evaluated by at least three referees ensuring a program of highest quality. The papers cover all relevant aspects of LP and AR ranging from theory to implementation and application.
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.
Download or read book Foundations of Logic and Functional Programming written by Mauro Boscarol and published by Springer Science & Business Media. This book was released on 1988-04-27 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of some of the papers that were delivered during the workshop on "Foundations of Logic and Functional Programming" held in Trento, Italy, from December 15th to 19th, 1986. The meeting centered on themes and trends in Functional Programming and in Logic Programming. This book contains five papers contributed by the invited speakers and five selected contributions.
Download or read book Rewriting Logic and Its Applications written by Vlad Rusu and published by Springer. This book was released on 2018-09-07 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised selected papers from the 12th International Workshop on Rewriting Logic and Its Applications, WRLA 2018, held in Thessaloniki, Greece, in June 2018. The 12 full papers presented in this volume were carefully reviewed and selected from 21 submissions. They deal with rewriting, a natural model of computation and an expressive semantic framework for concurrency, parallelism, communication, and interaction, and its applications.
Download or read book Algebraic and Logic Programming written by Helene Kirchner and published by Springer Science & Business Media. This book was released on 1990-09-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers presented at the Second International Conference on Algebraic and Logic Programming in Nancy, France, October 1-3, 1990.
Download or read book Algebraic and Logic Programming written by Jan Grabowski and published by Springer. This book was released on 2005-07-06 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Rewriting Logic and Its Applications written by Santiago Escobar and published by Springer. This book was released on 2014-11-15 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-workshop proceedings of the 10th International Workshop on Rewriting Logic and its Applications, WRLA 2014, held as a satellite event of ETAPS 2014, in Grenoble, France, in March 2014. The 13 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 21 submissions. The papers address a great diversity of topics in the fields of foundations and models of RL; languages based on RL; RL as a logical framework; RL as a semantic framework; use of RL to provide rigorous support for model-based software engineering; formalisms related to RL; verification techniques for RL specifications; comparisons of RL with existing formalisms having analogous aims; application of RL to specification and analysis of distributed systems and physical systems.
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 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 7th International Conference on Automated Deduction written by R. E. Shostak and published by Springer. This book was released on 2011-05-09 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Seventh International Conference on Automated Deduction was held May 14-16, 19S4, in Napa, California. The conference is the primary forum for reporting research in all aspects of automated deduction, including the design, implementation, and applications of theorem-proving systems, knowledge representation and retrieval, program verification, logic programming, formal specification, program synthesis, and related areas. The presented papers include 27 selected by the program committee, an invited keynote address by Jorg Siekmann, and an invited banquet address by Patrick Suppes. Contributions were presented by authors from Canada, France, Spain, the United Kingdom , the United States, and West Germany. The first conference in this series was held a decade earlier in Argonne, Illinois. Following the Argonne conference were meetings in Oberwolfach, West Germany (1976), Cambridge, Massachusetts (1977), Austin, Texas (1979), Les Arcs, France (19S0), and New York, New York (19S2). Program Committee P. Andrews (CMU) W.W. Bledsoe (U. Texas) past chairman L. Henschen (Northwestern) G. Huet (INRIA) D. Loveland (Duke) past chairman R. Milner (Edinburgh) R. Overbeek (Argonne) T. Pietrzykowski (Acadia) D. Plaisted (U. Illinois) V. Pratt (Stanford) R. Shostak (SRI) chairman J. Siekmann (U. Kaiserslautern) R. Waldinger (SRI) Local Arrangements R. Schwartz (SRI) iv CONTENTS Monday Morning Universal Unification (Keynote Address) Jorg H. Siekmann (FRG) .
Download or read book Foundations of Software Technology and Theoretical Computer Science written by Rudrapatna K. Shyamasundar and published by Springer Science & Business Media. This book was released on 1993-11-23 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than a decade, Foundations of Software Technology and Theoretical Computer Science Conferences have been providing an annual forum for the presentation of new research results in India and abroad. This year, 119 papers from 20 countries were submitted. Each paper was reviewed by at least three reviewers, and 33 papers were selected for presentation and included in this volume, grouped into parts on type theory, parallel algorithms, term rewriting, logic and constraint logic programming, computational geometry and complexity, software technology, concurrency, distributed algorithms, and algorithms and learning theory. Also included in the volume are the five invited papers presented at theconference.
Download or read book Algebraic and Logic Programming written by and published by . This book was released on 1997 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
