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Saturday, August 1, 2020 | History

1 edition of Computing in Horn Clause Theories found in the catalog.

Computing in Horn Clause Theories

by Peter Padawitz

  • 91 Want to read
  • 30 Currently reading

Published by Springer Berlin Heidelberg in Berlin, Heidelberg .
Written in English

    Subjects:
  • Logic design,
  • Computer science,
  • Software engineering

  • Edition Notes

    Statementby Peter Padawitz
    SeriesEATCS Monographs on Theoretical Computer Science -- 16, EATCS monographs on theoretical computer science -- 16.
    Classifications
    LC ClassificationsQA76.6-76.66
    The Physical Object
    Format[electronic resource] /
    Pagination1 online resource (xi, 322p. 7 illus.)
    Number of Pages322
    ID Numbers
    Open LibraryOL27026380M
    ISBN 103642738265, 3642738249
    ISBN 109783642738265, 9783642738241
    OCLC/WorldCa851800788

      This book describes reversible computing from the standpoint of the theory of automata and computing. It investigates how reversibility can be effectively utilized in computing. A reversible computing system is a "backward deterministic" system such that every state of the system has at most one : Kenichi Morita. In the last year or so, a number of generalizations of these dependencies have appeared: Nicolas's mutual dependencies [Ni], which say that a relation is the join of three of its projections; Rissanen's and Aho, Beeri, and Ullman's join dependencies ([Ri], [ABU]), which generalize further to an arbitrary number of projections; Paradaens' transitive dependencies [Pa], which generalize both FDs.

      In this paper, we show how the notion of tree dimension can be used in the verification of constrained Horn clauses (CHCs). The dimension of a tree is a numerical measure of its branching complexity and the concept here applies to Horn clause derivation by: 1. Studying logic programming is a good introduction to mathematical logic, because the logic behind logic programming is simple, and allows results like the soundness and completeness of inference systems to be proved in the simplest possible setting. In these books, these results are established for the Horn clause logic of Prolog in Chapters 5.

    Horn clause, relational database, faithfulness 1. Introduction on the Theory of Computing, Los Angeles, Calif. [23]. Author's address: IBM Research Laboratory K51/BMI, Cottle Road, San Jose, CA Permission to copy without fee all or part of this material is granted provided that the copies are not made Horn Clauses and.   A large variety of CHC solvers have been developed to verify the satisfiability of sets of Constrained Horn Clauses modulo various theories: (linear or non-linear) integer arithmetics, real (or rational) arithmetics, booleans, integer arrays, lists, heaps, and other data structures [3, 10, 12, 13].


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Computing in Horn Clause Theories by Peter Padawitz Download PDF EPUB FB2

Computing in Horn Clause Theories (Monographs in Theoretical Computer Science. An EATCS Series) [Peter Padawitz, Bruce Pomeranz] on *FREE* shipping on qualifying offers. At least four research fields detennine the theoretical background of specification and deduction in computer science: recursion theory.

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 Brand: Springer-Verlag Berlin Heidelberg.

About this book Introduction 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.

Computing in Horn Clause Theories by Peter Padawitz,available at Book Depository with free delivery worldwide. Computing in Horn Clause Theories: Peter Padawitz: We use cookies to give you the best possible : Peter Padawitz.

Computing in Horn Clause Theories. [Peter Padawitz] -- This book presents a unifying approach to semantical concepts and deductive methods used in recursive, equational and logic programming, data type specification and automated theorem-proving.

Computing in Horn Clause Theories 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.

Computing in Horn Clause Theories 英文书摘要 This book presents a unifying approach to semantical concepts and deductive methods used in recursive, equational and logic programming, data type specification and automated theorem-proving. This book presents a unifying approach to semantical concepts and deductive methods used in recursive, equational and logic programming, data type specification and automated theorem-proving.

computational properties; cf. [11]. In fact, deduction of a clause from a proposi-tional Horn theory is possible in linear time [5], while this is co-NP-complete in general.

In this paper, we study the problem of computing the Boolean difference between two Horn theories 7 1 and 7 2, i.e., 7=7 1"7 2.

In general, the resulting theory 7 is not Horn. language of Horn clauses, where a Horn clause can be ex-pressed as a rule of the form a 1^a 2^^ a n!afor n 0, and where a, a i (1 i n) are atoms. (Thus, expressed in conjunctive normal form, a Horn clause will have at most one positive literal.) In our approach an agent’s beliefs are repre-sented by a Horn clause knowledge base, and the input.

This chapter deals with several theories derived from a Horn clause specification. Each theory is complete with respect to a subclass of Mod(SIG,AX) (cf. Section ). Different theories represent different concepts of semantical : Priv.-Doz. Peter Padawitz. weaker language of Horn clauses, where a Horn clause can be written as a rule in the form a 1 ^a 2 ^^ a n!afor n 0, and where a, i (1 i) are atoms.

(Thus, ex-pressed in conjunctive normal form, a Horn clause will have at most one positive literal.) Specifically, in our approaches an agent’s beliefs are represented by a Horn clause knowl. Horn formulas are conjunctions of Horn clauses. Horn clauses are an implication whose assumption (left side of the arrow) A is a conjunction of the proposition of type P and whose conclusion (right side of the arrow) is of type P (P::= ┴ | ┬| atom) also.

Here is shown a Horn formula, having conjunctions of Horn clauses. H = (p → q)∧ (t. A Horn theory is a set of Horn clauses. First-order clauses of this form were first introduced by J.C.C. McKinsey in in the context of decision problems.

Their name, Horn clauses, alludes to a paper by A. Horn, who in was the first to point out some of their algebraic properties. Computing in Horn clause theories. [Peter Padawitz] Home. WorldCat Home About WorldCat Help.

Search. Search for Library Items Search for Lists Search for Book: All Authors / Contributors: Peter Padawitz. Find more information about: ISBN:.

The Horn clause calculus serves as the interface between the model-theoretic concepts of initial semantics, final semantics and internalized logic on the one hand and deductive methods based on resolution, paramodulation, reduction and narrowing on the other hand.

of recursion-free Horn clauses, over the combined theory of linear integer arithmetic and uninterpreted functions, was presented in [17], and a solver in [18]. A range of fur-ther applications of Horn clauses, including inter-procedural model checking, was given in [15].

Horn clauses are also proposed as intermediate/exchange format for. Incorporating Nonmonotonic easoning i lause Theories James P. Delgrande School of Computing Science Simon Fraser University Burnaby, B.C.

Canada Abstract An approach for introducing default reasoning into first-order Horn clause theories is described. A default theory is expressed as a set of strict implications of the.

In mathematical logic and logic programming, a Horn clause is a logical formula of a particular rule-like form which gives it useful properties for use in logic programming, formal specification, and model theory. Horn clauses are named for the logician Alfred Horn, who first pointed out their significance in conjectured theories in inductive inference.

The syntax of logic programs provides modular blocks which, when added or removed, generalise or special- ise the program. Depth-bounded Prolog interpreters, used for theorem-proving, allow efficient testing of hypothesised Horn clause theories. Most importantly.

Computing in Horn Clause Theories Book 16 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.2/5(1).We show how propositional logical theories can be compiled into Horn theories that approximate the original information.

The approximations bound the original theory from below and above in terms of logical strength. The procedures are extended to other tractable languages (for example, binary clauses) and to the first-order case.Implicit Induction in Conditional Theories.

Computing in Horn Clause Theories. This book presents a unifying approach to semantical concepts and deductive methods used in recursive.