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We present a comprehensive programme analysing the decomposition of proof systems for non-classical logics into proof systems for other logics, especially classical logic, using an algebra of constraints. That is, one recovers a proof…

计算机科学中的逻辑 · 计算机科学 2023-10-20 Alexander V. Gheorghiu , David J. Pym

We present the CIFF proof procedure for abductive logic programming with constraints, and we prove its correctness. CIFF is an extension of the IFF proof procedure for abductive logic programming, relaxing the original restrictions over…

人工智能 · 计算机科学 2009-06-08 P. Mancarella , G. Terreni , F. Sadri , F. Toni , U. Endriss

We present a new approach to termination analysis of numerical computations in logic programs. Traditional approaches fail to analyse them due to non well-foundedness of the integers. We present a technique that allows overcoming these…

编程语言 · 计算机科学 2007-05-23 Alexander Serebrenik , Danny De Schreye

We present necessary and sufficient conditions for the termination of linear homogeneous programs. We also develop a complete method to check termination for this class of programs. Our complete characterization of termination for such…

编程语言 · 计算机科学 2014-09-11 Rachid Rebiha , Arnaldo Vieira Moura , Nadir Matringe

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…

计算机科学中的逻辑 · 计算机科学 2020-04-21 François Bry

This paper proposes an evaluation of the adequacy of the constraint logic programming paradigm for natural language processing. Theoretical aspects of this question have been discussed in several works. We adopt here a pragmatic point of…

cmp-lg · 计算机科学 2008-02-03 Philippe Blache , Nabil Hathout

We present cTI, the first system for universal left-termination inference of logic programs. Termination inference generalizes termination analysis and checking. Traditionally, a termination analyzer tries to prove that a given class of…

编程语言 · 计算机科学 2007-05-23 Fred Mesnard , Roberto Bagnara

The past years have seen widening efforts at increasing Prolog's declarativeness and expressiveness. Tabling has proved to be a viable technique to efficiently overcome SLD's susceptibility to infinite loops and redundant subcomputations.…

编程语言 · 计算机科学 2007-05-23 Ricardo Rocha , Fernando Silva , Vitor Santos Costa

Probabilistic Logic Programming (PLP) languages, like ProbLog, naturally support reasoning under uncertainty, while maintaining a declarative and interpretable framework. Meanwhile, counterfactual reasoning (i.e., answering ``what if''…

人工智能 · 计算机科学 2026-03-24 Saimun Habib , Vaishak Belle , Fengxiang He

Infinite loops and redundant computations are long recognized open problems in Prolog. Two ways have been explored to resolve these problems: loop checking and tabling. Loop checking can cut infinite loops, but it cannot be both sound and…

人工智能 · 计算机科学 2007-05-23 Yi-Dong Shen , Li-Yan Yuan , Jia-Huai You , Neng-Fa Zhou

We present a novel and well automatable approach to formal verification of programs with underspecified semantics, i.e., a language semantics that leaves open the order of certain evaluations. First, we reduce this problem to…

编程语言 · 计算机科学 2022-02-14 Eduard Kamburjan , Nathan Wasser

Higher-order logic programming is an interesting extension of traditional logic programming that allows predicates to appear as arguments and variables to be used where predicates typically occur. Higher-order characteristics are indeed…

编程语言 · 计算机科学 2018-12-04 Antonis Troumpoukis , Angelos Charalambidis

Proving program termination is typically done by finding a well-founded ranking function for the program states. Existing termination provers typically find ranking functions using either linear algebra or templates. As such they are often…

计算机科学中的逻辑 · 计算机科学 2014-10-21 Cristina David , Daniel Kroening , Matt Lewis

Synthesizing a program that realizes a logical specification is a classical problem in computer science. We examine a particular type of program synthesis, where the objective is to synthesize a strategy that reacts to a potentially…

人工智能 · 计算机科学 2020-01-01 Alberto Camacho , Sheila A. McIlraith

We unify functional and logic programming by treating predicatesas functions equipped with their support: the set of inputs whose output is nonzero. Datalog, for instance, is a language of finitely supported boolean functions. Finite…

编程语言 · 计算机科学 2026-04-30 Michael Arntzenius , Max Willsey

We address the problem of compiling defeasible theories to Datalog$^\neg$ programs. We prove the correctness of this compilation, for the defeasible logic $DL(\partial_{||})$, but the techniques we use apply to many other defeasible logics.…

计算机科学中的逻辑 · 计算机科学 2024-08-28 Michael J. Maher

In prior work, we showed that logic programming compilation can be given a proof-theoretic justification for generic abstract logic programming languages, and demonstrated this technique in the case of hereditary Harrop formulas and their…

计算机科学中的逻辑 · 计算机科学 2012-10-08 Iliano Cervesato

This paper introduces a framework of parametric descriptive directional types for constraint logic programming (CLP). It proposes a method for locating type errors in CLP programs and presents a prototype debugging tool. The main technique…

编程语言 · 计算机科学 2007-05-23 W. Drabent , J. Maluszynski , P. Pietrzak

The logic programming paradigm provides the basis for a new intensional view of higher-order notions. This view is realized primarily by employing the terms of a typed lambda calculus as representational devices and by using a richer form…

编程语言 · 计算机科学 2007-05-23 Gopalan Nadathur

We investigate infinitary wellfounded systems for linear logic with fixed points, with transfinite branching rules indexed by some closure ordinal $\alpha$ for fixed points. Our main result is that provability in the system for some…

逻辑 · 数学 2026-02-24 Anupam Das , Tikhon Pshenitsyn