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This paper continues a systematic and comprehensive study on the structural properties of CFL functions, which are in general multi-valued partial functions computed by one-way one-head nondeterministic pushdown automata equipped with…

Formal Languages and Automata Theory · Computer Science 2015-08-25 Tomoyuki Yamakami

This work, shows how propositional resolution can be generalized to obtain a resolution proof system for constrained pseudo-propositional logic (CPPL), which is an extension resulted from inserting the natural numbers with few constraints…

Logic · Mathematics 2023-06-13 Ahmad-Saher Azizi-Sultan

In this paper we investigate the theoretical foundation of a new bottom-up semantics for linear logic programs, and more precisely for the fragment of LinLog that consists of the language LO enriched with the constant 1. We use constraints…

Programming Languages · Computer Science 2007-05-23 Marco Bozzano , Giorgio Delzanno , Maurizio Martelli

We extend answer set semantics to deal with inconsistent programs (containing classical negation), by finding a ``best'' answer set. Within the context of inconsistent programs, it is natural to have a partial order on rules, representing a…

Logic in Computer Science · Computer Science 2007-05-23 Davy Van Nieuwenborgh , Dirk Vermeir

Partiality is a natural phenomenon in computability that we cannot get around. So, the question is whether we can give the areas where partiality occurs, that is, where non-termination happens, more structure. In this paper we consider…

Logic in Computer Science · Computer Science 2023-11-13 Dieter Spreen

We provide a denotational semantics for first-order logic that captures the two-level view of the computation process typical for constraint programming. At one level we have the usual program execution. At the other level an automatic…

Logic in Computer Science · Computer Science 2007-05-23 K. R. Apt , C. F. M. Vermeulen

Logic Programming is a Turing complete language. As a consequence, designing algorithms that decide termination and non-termination of programs or decide inductive/coinductive soundness of formulae is a challenging task. For example, the…

Logic in Computer Science · Computer Science 2017-07-26 Ekaterina Komendantskaya , Yue Li

Many recent analyses for conventional imperative programs begin by transforming programs into logic programs, capitalising on existing LP analyses and simple LP semantics. We propose using logic programs as an intermediate program…

Programming Languages · Computer Science 2020-02-19 Graeme Gange , Jorge A. Navas , Peter Schachte , Harald Sondergaard , Peter J. Stuckey

Partial correctness of imperative or functional programming divides in logic programming into two notions. Correctness means that all answers of the program are compatible with the specification. Completeness means that the program produces…

Logic in Computer Science · Computer Science 2025-08-26 Włodzimierz Drabent

Uncertainty in Logic Programming has been investigated during the last decades, dealing with various extensions of the classical LP paradigm and different applications. Existing proposals rely on different approaches, such as clause…

Logic in Computer Science · Computer Science 2010-07-22 Mario Rodríguez-Artalejo , Carlos A. Romero-Díaz

Nominal logic is an extension of first-order logic which provides a simple foundation for formalizing and reasoning about abstract syntax modulo consistent renaming of bound names (that is, alpha-equivalence). This article investigates…

Programming Languages · Computer Science 2008-09-15 James Cheney , Christian Urban

This article presents an overview of applications of logic programming, classifying them based on the abstractions and implementations of logic languages that support the applications. The three key abstractions are join, recursion, and…

Programming Languages · Computer Science 2023-08-29 Yanhong A. Liu

Functional programming comes in two flavours: one where ``functions are first-class citizens'' (we call this applicative) and one which is based on equations (we call this declarative). In relational programming clauses play the role of…

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

We present CLP(BN), a novel approach that aims at expressing Bayesian networks through the constraint logic programming framework. Arguably, an important limitation of traditional Bayesian networks is that they are propositional, and thus…

Artificial Intelligence · Computer Science 2012-12-12 Vitor Santos Costa , David Page , Maleeha Qazi , James Cussens

One recurring problem in program development is that of understanding how to re-use code developed by a third party. In the context of (constraint) logic programming, part of this problem reduces to figuring out how to query a program. If…

Programming Languages · Computer Science 2007-05-23 Andy King , Lunjin Lu

Uncertainty in logic programming has been widely investigated in the last decades, leading to multiple extensions of the classical LP paradigm. However, few of these are designed as extensions of the well-established and powerful CLP scheme…

Logic in Computer Science · Computer Science 2012-01-27 R. Caballero , M. Rodriguez-Artalejo , C. A. Romero-Diaz

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

Program slicing has been mainly studied in the context of imperative languages, where it has been applied to a wide variety of software engineering tasks, like program understanding, maintenance, debugging, testing, code reuse, etc. This…

Programming Languages · Computer Science 2007-05-23 Josep Silva , Germán Vidal

Logic programming languages present clear advantages in terms of declarativeness and conciseness. However, the ideas of logic programming have been met with resistance in other programming communities, and have not generally been adopted by…

Programming Languages · Computer Science 2026-01-08 Ivan Perez , Angel Herranz

Concurrent Constraint Programming (CCP) is a simple and powerful model for concurrency where agents interact by telling and asking constraints. Since their inception, CCP-languages have been designed for having a strong connection to logic.…

Logic in Computer Science · Computer Science 2020-02-19 Elaine Pimentel , Carlos Olarte , Vivek Nigam