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We discuss proving correctness and completeness of definite clause logic programs. We propose a method for proving completeness, while for proving correctness we employ a method which should be well known but is often neglected. Also, we…

Logic in Computer Science · Computer Science 2017-01-31 Włodzimierz Drabent

When solving combinatorial problems, pruning symmetric solution candidates from the search space is essential. Most of the existing approaches are instance-specific and focus on the automatic computation of Symmetry Breaking Constraints…

Logic in Computer Science · Computer Science 2022-08-08 Alice Tarzariol

An attempt at unifying logic and functional programming is reported. As a starting point, we take the view that "logic programs" are not about logic but constitute inductive definitions of sets and relations. A skeletal language design…

Logic in Computer Science · Computer Science 2016-08-31 Lawrence C. Paulson , Andrew W. Smith

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

Delimited control is a powerful mechanism for programming language extension which has been recently proposed for Prolog (and implemented in SWI-Prolog). By manipulating the control flow of a program from inside the language, it enables the…

Programming Languages · Computer Science 2023-03-08 Alexander Vandenbroucke , Tom Schrijvers

We show how categorial deduction can be implemented in higher-order (linear) logic programming, thereby realising parsing as deduction for the associative and non-associative Lambek calculi. This provides a method of solution to the parsing…

cmp-lg · Computer Science 2016-08-31 Glyn Morrill

Qualification has been recently introduced as a generalization of uncertainty in the field of Logic Programming. In this report we investigate a more expressive language for First-Order Functional Logic Programming with Constraints and…

Programming Languages · Computer Science 2011-01-12 Rafael Caballero , Mario Rodríguez-Artalejo , Carlos A. Romero-Díaz

Discrete mathematics is the foundation of computer science. It focuses on concepts and reasoning methods that are studied using math notations. It has long been argued that discrete math is better taught with programming, which takes…

Computers and Society · Computer Science 2021-10-07 Yanhong A. Liu , Matthew Castelllana

In this paper we investigate forgetting in disjunctive logic programs, where forgetting an atom from a program amounts to a reduction in the signature of that program. The goal is to provide an approach that is syntax-independent, in that…

Artificial Intelligence · Computer Science 2014-05-01 James P. Delgrande , Kewen Wang

Over the last decade, the use of robots in production and daily life has increased. With increasingly complex tasks and interaction in different environments including humans, robots are required a higher level of autonomy for efficient…

Robotics · Computer Science 2023-01-19 Daniele Meli , Hirenkumar Nakawala , Paolo Fiorini

We are aiming at a semantics of logic programs with preferences defined on rules, which always selects a preferred answer set, if there is a non-empty set of (standard) answer sets of the given program. It is shown in a seminal paper by…

Logic in Computer Science · Computer Science 2011-09-05 Jan Sefranek , Alexander Simko

Logic languages based on the theory of rational, possibly infinite, trees have much appeal in that rational trees allow for faster unification (due to the safe omission of the occurs-check) and increased expressivity (cyclic terms can…

Programming Languages · Computer Science 2007-05-23 Roberto Bagnara , Roberta Gori , Patricia M. Hill , Enea Zaffanella

Delimited control is a powerful mechanism for programming language extension which has been recently proposed for Prolog (and implemented in SWI-Prolog). By manipulating the control flow of a program from inside the language, it enables the…

Programming Languages · Computer Science 2021-08-21 Alexander Vandenbroucke , Tom Schrijvers

This paper deals with a problem from discrete-time robust control which requires the solution of constraints over the reals that contain both universal and existential quantifiers. For solving this problem we formulate it as a program in a…

Logic in Computer Science · Computer Science 2007-05-23 Stefan Ratschan , Luc Jaulin

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

Splitting a logic program allows us to reduce the task of computing its stable models to similar tasks for its subprograms. This can be used to increase solving performance and prove program correctness. We generalize the conditions under…

Artificial Intelligence · Computer Science 2025-03-30 Jorge Fandinno , Yuliya Lierler

A linear program with linear complementarity constraints (LPCC) requires the minimization of a linear objective over a set of linear constraints together with additional linear complementarity constraints. This class has emerged as a…

Optimization and Control · Mathematics 2018-02-09 Bin Yu , John E. Mitchell , Jong-Shi Pang

Processing programs as data is one of the successes of functional and logic programming. Higher-order functions, as program-processing programs are called in functional programming, and meta-programs, as they are called in logic…

Logic in Computer Science · Computer Science 2020-04-21 François Bry

Disjunctive finitary programs are a class of logic programs admitting function symbols and hence infinite domains. They have very good computational properties, for example ground queries are decidable while in the general case the stable…

Artificial Intelligence · Computer Science 2009-05-25 Sabrina Baselice , Piero A. Bonatti , Giovanni Criscuolo

This thesis offers two logic-based approaches to conjunctive queries in the context of information extraction. The first and main approach is the introduction of conjunctive query fragments of the logics FC and FC[REG], denoted as FC-CQ and…

Logic in Computer Science · Computer Science 2022-08-03 Sam M. Thompson
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