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The inclusion of universal quantification and a form of implication in goals in logic programming is considered. These additions provide a logical basis for scoping but they also raise new implementation problems. When universal and…

Programming Languages · Computer Science 2007-05-23 Gopalan Nadathur , Bharat Jayaraman , Keehang Kwon

Program logics are a powerful formal method in the context of program verification. Can we develop a counterpart of program logics in the context of language verification? This paper proposes language logics, which allow for statements of…

Programming Languages · Computer Science 2024-08-06 Matteo Cimini

We provide here a computational interpretation of first-order logic based on a constructive interpretation of satisfiability w.r.t. a fixed but arbitrary interpretation. In this approach the formulas themselves are programs. This contrasts…

Logic in Computer Science · Computer Science 2007-05-23 Krzysztof R. Apt , Marc Bezem

Linear logic programming uses provability as the basis for computation. In the operational semantics based on provability, executing the additive-conjunctive goal $G_1 \& G_2$ from a program $P$ simply terminates with a success if both…

Logic in Computer Science · Computer Science 2015-07-02 Keehang Kwon , Mi-Young Park

The programming language Prolog makes declarative programming possible, at least to a substantial extent. Programs may be written and reasoned about in terms of their declarative semantics. All the advantages of declarative programming are…

Logic in Computer Science · Computer Science 2023-08-31 Włodzimierz Drabent

We introduce a generalized logic programming paradigm where programs, consisting of facts and rules with the usual syntax, can be enriched by co-facts, which syntactically resemble facts but have a special meaning. As in coinductive logic…

Programming Languages · Computer Science 2017-09-26 Davide Ancona , Francesco Dagnino , Elena Zucca

This paper presents an example of formal reasoning about the semantics of a Prolog program of practical importance (the SAT solver of Howe and King). The program is treated as a definite clause logic program with added control. The logic…

Logic in Computer Science · Computer Science 2017-05-15 Włodzimierz Drabent

We introduce a methodology and framework for expressing general preference information in logic programming under the answer set semantics. An ordered logic program is an extended logic program in which rules are named by unique terms, and…

Artificial Intelligence · Computer Science 2007-05-23 J. P. Delgrande , T. Schaub , H. Tompits

The Logic Programming through Prolog has been widely used for supply persistence in many systems that need store knowledge. Some implementations of Prolog Programming Language used for supply persistence have bidirectional interfaces with…

Programming Languages · Computer Science 2017-05-02 José E. Zalacain Llanes

There are two kinds of approaches for termination analysis of logic programs: "transformational" and "direct" ones. Direct approaches prove termination directly on the basis of the logic program. Transformational approaches transform a…

Logic in Computer Science · Computer Science 2008-09-01 P. Schneider-Kamp , J. Giesl , A. Serebrenik , R. Thiemann

Program correctness (in imperative and functional programming) splits in logic programming into correctness and completeness. Completeness means that a program produces all the answers required by its specification. Little work has been…

Logic in Computer Science · Computer Science 2014-11-13 Wlodzimierz Drabent

This paper describes a system, called PLP, for compiling ordered logic programs into standard logic programs under the answer set semantics. In an ordered logic program, rules are named by unique terms, and preferences among rules are given…

Artificial Intelligence · Computer Science 2007-05-23 James P. Delgrande , Torsten Schaub , Hans Tompits

A general framework is proposed for integration of rules and external first order theories. It is based on the well-founded semantics of normal logic programs and inspired by ideas of Constraint Logic Programming (CLP) and constructive…

Logic in Computer Science · Computer Science 2010-12-08 W. Drabent , J. Maluszynski

There are various interesting semantics' (extensions) designed for argumentation frameworks. They enable to assign a meaning, e.g., to odd-length cycles. Our main motivation is to transfer semantics' proposed by Baroni, Giacomin and Guida…

Logic in Computer Science · Computer Science 2011-08-29 Monika Adamova , Jan Sefranek

$\{log\}$ is a programming language at the intersection of Constraint Logic Programming, set programming and declarative programming. But $\{log\}$ is also a satisfiability solver for a theory of finite sets and finite binary relations.…

Logic in Computer Science · Computer Science 2021-04-19 Maximiliano Cristiá , Gianfranco Rossi

Adding versatile interactions to goals and queries in logic programming is an essential task. Unfortunately, existing logic languages can take input from the user only via the $read$ construct. We propose to add a new interactive goal to…

Programming Languages · Computer Science 2013-08-06 Keehang Kwon

There has recently been an increasing interest in declarative data analysis, where analytic tasks are specified using a logical language, and their implementation and optimisation are delegated to a general-purpose query engine. Existing…

Artificial Intelligence · Computer Science 2018-04-26 Mark Kaminski , Bernardo Cuenca Grau , Egor V. Kostylev , Boris Motik , Ian Horrocks

In this paper, we show a new approach to transformations of an imperative program with function calls and global variables into a logically constrained term rewriting system. The resulting system represents transitions of the whole…

Logic in Computer Science · Computer Science 2019-02-25 Yoshiaki Kanazawa , Naoki Nishida

Existing refinement calculi provide frameworks for the stepwise development of imperative programs from specifications. This paper presents a refinement calculus for deriving logic programs. The calculus contains a wide-spectrum logic…

Software Engineering · Computer Science 2007-05-23 Ian Hayes , Robert Colvin , David Hemer , Paul Strooper , Ray Nickson

Adding interaction to logic programming is an essential task. Expressive logics such as linear logic provide a theoretical basis for such a mechanism. Unfortunately, none of the existing linear logic languages can model interactions with…

Logic in Computer Science · Computer Science 2015-07-19 Keehang Kwon