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Computing in Horn Clause Theories

Computing in Horn Clause Theories PDF Author: Peter Padawitz
Publisher: Springer Science & Business Media
ISBN: 3642738249
Category : Computers
Languages : en
Pages : 328

Book Description
At least four research fields detennine the theoretical background of specification and deduction in computer science: recursion theory, automated theorem proving, abstract data types and tenn rewriting systems. As these areas approach each other more and more, the strong distinctions between functional and relational views, deductive and denotational approaches as well as between specification and programming are relieved in favour of their integration. The book will not expose the lines of this development; conversely, it starts out from the nucleus of Hom clause logic and brings forth both known and unknown results, most of which affect more than one of the fields mentioned above. Chapter 1 touches on historical issues of specification and prototyping and delimits the topics handled in this book from others which are at the core of related work. Chapter 2 provides the fundamental notions and notations needed for the presentation and interpretation of many-sorted Horn clause theories with equality. Chapter 3 supplies a number of sample Hom clause specifications ranging from arithmetic through string manipulation to higher data structures and interpreters of programming languages. Some of these examples serve as a reference to illustrate definitions and results, others may throw a light on the strong link between specifications and programs, which are executed by applying deduction rules. Thus we have included examples of how to use program trans/ormation methods in specification design.

Computing in Horn Clause Theories

Computing in Horn Clause Theories PDF Author: Peter Padawitz
Publisher: Springer Science & Business Media
ISBN: 3642738249
Category : Computers
Languages : en
Pages : 328

Book Description
At least four research fields detennine the theoretical background of specification and deduction in computer science: recursion theory, automated theorem proving, abstract data types and tenn rewriting systems. As these areas approach each other more and more, the strong distinctions between functional and relational views, deductive and denotational approaches as well as between specification and programming are relieved in favour of their integration. The book will not expose the lines of this development; conversely, it starts out from the nucleus of Hom clause logic and brings forth both known and unknown results, most of which affect more than one of the fields mentioned above. Chapter 1 touches on historical issues of specification and prototyping and delimits the topics handled in this book from others which are at the core of related work. Chapter 2 provides the fundamental notions and notations needed for the presentation and interpretation of many-sorted Horn clause theories with equality. Chapter 3 supplies a number of sample Hom clause specifications ranging from arithmetic through string manipulation to higher data structures and interpreters of programming languages. Some of these examples serve as a reference to illustrate definitions and results, others may throw a light on the strong link between specifications and programs, which are executed by applying deduction rules. Thus we have included examples of how to use program trans/ormation methods in specification design.

Horn Clause

Horn Clause PDF Author: Fouad Sabry
Publisher: One Billion Knowledgeable
ISBN:
Category : Computers
Languages : en
Pages : 158

Book Description
What Is Horn Clause In the fields of mathematical logic and logic programming, a logical formula known as a Horn clause has a distinctive rule-like form, which endows it with helpful qualities that can be applied to logic programming, formal specification, and model theory. The logician Alfred Horn is credited as being the one who first brought attention to the significance of Horn clauses in the year 1951. How You Will Benefit (I) Insights, and validations about the following topics: Chapter 1: Horn Clause Chapter 2: Intuitionistic Logic Chapter 3: Computational Logic Chapter 4: Automated Theorem Proving Chapter 5: Resolution in Logic Chapter 6: Horn Satisfiability Chapter 7: Rule-Based System Chapter 8: Constraint Handling Rules Chapter 9: First-Order Logic Chapter 10: Boolean Satisfiability Problem (II) Answering the public top questions about horn clause. (III) Real world examples for the usage of horn clause in many fields. (IV) 17 appendices to explain, briefly, 266 emerging technologies in each industry to have 360-degree full understanding of horn clause' technologies. Who This Book Is For Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of horn clause.

Fundamentals of Computation Theory

Fundamentals of Computation Theory PDF Author: Lothar Budach
Publisher: Springer Science & Business Media
ISBN: 9783540544586
Category : Computers
Languages : en
Pages : 444

Book Description
This volume contains papers which were contributed for presentation at the international conference "Fundamentals of Computation Theory - FCT '91" heldat Gosen, near Berlin, September 9-13, 1991. This was the eighth in the series of FCT conferences organized every odd year. The programme of theconference, including invited lectures and selected contributions, falls into the following categories: - Semantics and logical concepts in the theory of computing, formal specification, - Automata and formal languages, Computational geometry, - Algorithmic aspects of algebra and algebraic geometry, cryptography, - Complexity (sequential, parallel, distributed computing, structure, lower bounds, complexity of analytical problems, general concepts), - Algorithms (efficient, probabilistic, parallel, sequential, distributed), - Counting and combinatorics in connection with mathematical computer science. The proceedings of previous FCT meetings are available as Lecture Notes in Computer Science (Vols. 380, 278, 199, 158, 117, 56).

Theory Reasoning in Connection Calculi

Theory Reasoning in Connection Calculi PDF Author: Peter Baumgartner
Publisher: Springer
ISBN: 3540492100
Category : Technology & Engineering
Languages : en
Pages : 290

Book Description
The ability to draw inferences is a central operation in any artificial intelligence system. Automated reasoning is therefore among the traditional disciplines in AI. Theory reasoning is about techniques for combining automated reasoning systems with specialized and efficient modules for handling domain knowledge called background reasoners. Connection methods have proved to be a good choice for implementing high-speed automated reasoning systems. They are the starting point in this monograph,in which several theory reasoning versions are defined and related to each other. A major contribution of the book is a new technique of linear completion allowing for the automatic construction of background reasoners from a wide range of axiomatically given theories. The emphasis is on theoretical investigations, but implementation techniques based on Prolog are also covered.

Computation Theory and Logic

Computation Theory and Logic PDF Author: Egon Börger
Publisher: Springer Science & Business Media
ISBN: 9783540181705
Category : Computers
Languages : en
Pages : 456

Book Description
In Memory of Dieter Rötting. 24.8.1937 - 4.6.1984. On the Occasion of the 50th Anniversary of His Birth

Elements of Computation Theory

Elements of Computation Theory PDF Author: Arindama Singh
Publisher: Springer Science & Business Media
ISBN: 1848824971
Category : Computers
Languages : en
Pages : 429

Book Description
The foundation of computer science is built upon the following questions: What is an algorithm? What can be computed and what cannot be computed? What does it mean for a function to be computable? How does computational power depend upon programming constructs? Which algorithms can be considered feasible? For more than 70 years, computer scientists are searching for answers to such qu- tions. Their ingenious techniques used in answering these questions form the theory of computation. Theory of computation deals with the most fundamental ideas of computer s- ence in an abstract but easily understood form. The notions and techniques employed are widely spread across various topics and are found in almost every branch of c- puter science. It has thus become more than a necessity to revisit the foundation, learn the techniques, and apply them with con?dence. Overview and Goals This book is about this solid, beautiful, and pervasive foundation of computer s- ence. It introduces the fundamental notions, models, techniques, and results that form the basic paradigms of computing. It gives an introduction to the concepts and mathematics that computer scientists of our day use to model, to argue about, and to predict the behavior of algorithms and computation. The topics chosen here have shown remarkable persistence over the years and are very much in current use.

SOFSEM 2010: Theory and Practice of Computer Science

SOFSEM 2010: Theory and Practice of Computer Science PDF Author: Jan van Leeuwen
Publisher: Springer Science & Business Media
ISBN: 364211265X
Category : Computers
Languages : en
Pages : 795

Book Description
This book constitutes the refereed proceedings of the 36th Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2010, held in Špindleruv Mlýn, Czech Republic, in January 2009. The 53 revised full papers, presented together with 11 invited contributions, were carefully reviewed and selected from 134 submissions. SOFSEM 2010 was organized around the following four tracks: Foundations of computer science, principles of software construction, Data, knowledge, and intelligent systems and Web science.

Formal Models and Semantics

Formal Models and Semantics PDF Author: Bozzano G Luisa
Publisher: Elsevier
ISBN: 0080933920
Category : Mathematics
Languages : en
Pages : 1288

Book Description
The second part of this Handbook presents a choice of material on the theory of automata and rewriting systems, the foundations of modern programming languages, logics for program specification and verification, and some chapters on the theoretic modelling of advanced information processing.

Handbook of Formal Languages

Handbook of Formal Languages PDF Author: Grzegorz Rozenberg
Publisher: Springer Science & Business Media
ISBN: 9783540606499
Category : Computers
Languages : en
Pages : 654

Book Description
This third volume of the Handbook of Formal Languages discusses language theory beyond linear or string models: trees, graphs, grids, pictures, computer graphics. Many chapters offer an authoritative self-contained exposition of an entire area. Special emphasis is on interconnections with logic.

Algebraic Foundations of Systems Specification

Algebraic Foundations of Systems Specification PDF Author: Egidio Astesiano
Publisher: Springer Science & Business Media
ISBN: 364259851X
Category : Computers
Languages : en
Pages : 626

Book Description
This IFIP report is a collection of fundamental, high-quality contributions on the algebraic foundations of system specification. The contributions cover and survey active topics and recent advances, and address such subjects as: the role of formal specification, algebraic preliminaries, partiality, institutions, specification semantics, structuring, refinement, specification languages, term rewriting, deduction and proof systems, object specification, concurrency, and the development process. The authors are well-known experts in the field, and the book is the result of IFIP WG 1.3 in cooperation with Esprit Basic Research WG COMPASS, and provides the foundations of the algebraic specification language CASL designed in the CoFI project. For students, researchers, and system developers.