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We show how definite extended logic programs can be used for defining and reasoning with rough sets. Moreover, a rough-set-specific query language is presented and an answering algorithm is outlined. Thus, we not only show a possible…

Logic in Computer Science · Computer Science 2007-05-23 Jan Małuszyński , Aida Vitória

Thom Fr\"uhwirth presented a short, elegant and efficient Prolog program for the n queens problem. However the program may be seen as rather tricky and one may be not convinced about its correctness. This paper explains the program in a…

Logic in Computer Science · Computer Science 2020-07-21 Włodzimierz Drabent

Logic can be made useful for programming and for databases independently of logic programming. To be useful in this way, logic has to provide a mechanism for the definition of new functions and new relations on the basis of those given in…

Logic in Computer Science · Computer Science 2014-12-30 M. H. van Emden

We study transformational program logics for correctness and incorrectness that we extend to explicitly handle both termination and nontermination. We show that the logics are abstract interpretations of the right image transformer for a…

Logic in Computer Science · Computer Science 2023-11-27 Patrick Cousot

Termination is an important and well-studied property for logic programs. However, almost all approaches for automated termination analysis focus on definite logic programs, whereas real-world Prolog programs typically use the cut operator.…

Logic in Computer Science · Computer Science 2010-07-29 Peter Schneider-Kamp , Jürgen Giesl , Thomas Ströder , Alexander Serebrenik , René Thiemann

In the logic programming paradigm, a program is defined by a set of methods, each of which can be executed when specific conditions are met during the current state of an execution. The semantics of these programs can be elegantly…

Logic in Computer Science · Computer Science 2024-10-02 Matteo Acclavio , Roberto Maieli

Logic programming is a flexible programming paradigm due to the use of predicates without a fixed data flow. To extend logic languages with the compact notation of functional programming, there are various proposals to map evaluable…

Programming Languages · Computer Science 2022-05-17 Michael Hanus

Tabled logic programming is receiving increasing attention in the Logic Programming community. It avoids many of the shortcomings of SLD execution and provides a more flexible and often extremely efficient execution mechanism for logic…

Logic in Computer Science · Computer Science 2007-05-23 Sofie Verbaeten , Danny De Schreye , Konstantinos Sagonas

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

Slicing is a program analysis technique originally developed for imperative languages. It facilitates understanding of data flow and debugging. This paper discusses slicing of Constraint Logic Programs. Constraint Logic Programming (CLP) is…

Software Engineering · Computer Science 2007-05-23 Gyongyi Szilagyi , Tibor Gyimothy , Jan Maluszynski

Program synthesis is the task of automatically deriving a program that has been specified by a user in advance. Combining automated theorem proving with program synthesis enables the automated construction of proven-to-be-correct programs,…

Logic in Computer Science · Computer Science 2026-05-20 Márton Hajdu , Petra Hozzová , Laura Kovács , Eva Maria Wagner

Many logic programming based approaches can be used to describe and solve combinatorial search problems. On the one hand there are definite programs and constraint logic programs that compute a solution as an answer substitution to a query…

Logic in Computer Science · Computer Science 2007-05-23 Nikolay Pelov , Emmanuel De Mot , Maurice Bruynooghe

The possibility of translating logic programs into functional ones has long been a subject of investigation. Common to the many approaches is that the original logic program, in order to be translated, needs to be well-moded and this has…

Programming Languages · Computer Science 2007-05-23 S. Etalle , J. Mountjoy

Semantics of logic programs has been given by proof theory, model theory and by fixpoint of the immediate-consequence operator. If clausal logic is a programming language, then it should also have a compositional semantics. Compositional…

Programming Languages · Computer Science 2007-05-23 M. H. van Emden

A logic programming paradigm which expresses solutions to problems as stable models has recently been promoted as a declarative approach to solving various combinatorial and search problems, including planning problems. In this paradigm,…

Artificial Intelligence · Computer Science 2007-05-23 Maurice Bruynooghe

It is well known that the resolution method (for propositional logic) is complete. However, completeness proofs found in the literature use an argument by contradiction showing that if a set of clauses is unsatisfiable, then it must have a…

Logic in Computer Science · Computer Science 2017-01-11 Jean Gallier

We argue that turning a logic program into a set of completed definitions can be sometimes thought of as the "reverse engineering" process of generating a set of conditions that could serve as a specification for it. Accordingly, it may be…

Logic in Computer Science · Computer Science 2017-11-06 Amelia Harrison , Vladimir Lifschitz , Dhananjay Raju

Prioritized default reasoning has illustrated its rich expressiveness and flexibility in knowledge representation and reasoning. However, many important aspects of prioritized default reasoning have yet to be thoroughly explored. In this…

Artificial Intelligence · Computer Science 2007-05-23 Yan Zhang

We present realizability and realization logic, two program logics that jointly address the problem of finding solutions in semantics-guided synthesis. What is new is that we proceed eagerly and not only analyze a single candidate program…

Logic in Computer Science · Computer Science 2024-03-12 Roland Meyer , Jakob Tepe , Sebastian Wolff

Types in logic programming have focused on conservative approximations of program semantics by regular types, on one hand, and on type systems based on a prescriptive semantics defined for typed programs, on the other. In this paper, we…

Logic in Computer Science · Computer Science 2019-09-19 João Barbosa , Mário Florido , Vítor Santos Costa