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Probabilistic logic programs are logic programs where some facts hold with a specified probability. Here, we investigate these programs with a causal framework that allows counterfactual queries. Learning the program structure from…

Logic in Computer Science · Computer Science 2023-08-31 Kilian Rückschloß , Felix Weitkämper

Up to equivalence, a substitution in propositional logic is an endomorphism of its free algebra. On the dual space, this results in a continuous function, and whenever the space carries a natural measure one may ask about the stochastic…

Logic · Mathematics 2007-05-23 Giovanni Panti

A logic program is an executable specification. For example, merge sort in pure Prolog is a logical formula, yet shows creditable performance on long linked lists. But such executable specifications are a compromise: the logic is distorted…

Programming Languages · Computer Science 2015-09-29 M. H. van Emden

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

We examine the meaning and the complexity of probabilistic logic programs that consist of a set of rules and a set of independent probabilistic facts (that is, programs based on Sato's distribution semantics). We focus on two semantics,…

Artificial Intelligence · Computer Science 2017-02-01 Fabio Gagliardi Cozman , Denis Deratani Mauá

Structural resolution (or S-resolution) is a newly proposed alternative to SLD-resolution that allows a systematic separation of derivations into term-matching and unification steps. Productive logic programs are those for which…

Logic in Computer Science · Computer Science 2015-06-23 Peng Fu , Ekaterina Komendantskaya

We present the concept of a disjunctive basis as a generic framework for normal forms in modal logic based on coalgebra. Disjunctive bases were defined in previous work on completeness for modal fixpoint logics, where they played a central…

Logic in Computer Science · Computer Science 2023-06-22 Sebastian Enqvist , Yde Venema

Logic programming with fixed-point definitions is a useful extension of traditional logic programming. Fixed-point definitions can capture simple model checking problems and closed-world assumptions. Its operational semantics is typically…

Logic in Computer Science · Computer Science 2015-08-06 Keehang Kwon

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

This paper introduces and studies the sequential composition and decomposition of propositional logic programs. We show that acyclic programs can be decomposed into single-rule programs and provide a general decomposition result for…

Logic in Computer Science · Computer Science 2023-10-12 Christian Antic

In this paper we prove that three of the main propositional logics of dependence (including propositional dependence logic and inquisitive logic), none of which is structural, are structurally complete with respect to a class of…

Logic · Mathematics 2018-12-19 Rosalie Iemhoff , Fan Yang

Program equivalence in linear contexts, where programs are used or executed exactly once, is an important issue in programming languages. However, existing techniques like those based on bisimulations and logical relations only target at…

Programming Languages · Computer Science 2011-10-12 Yuxin Deng , Yu Zhang

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

The classical propositional logic is known to be sound and complete with respect to the set semantics that interprets connectives as set operations. The paper extends propositional language by a new binary modality that corresponds to…

Logic in Computer Science · Computer Science 2007-05-23 Pavel Naumov

This paper presents a method of computing a revision of a function-free normal logic program. If an added rule is inconsistent with a program, that is, if it leads to a situation such that no stable model exists for a new program, then…

Artificial Intelligence · Computer Science 2007-05-23 Ken Satoh

To deal with failures as simply as possible, we propose a new foun- dation for the core (untyped) C, which is based on a new logic called task logic or imperative logic. We then introduce a sequential-disjunctive statement of the form S :…

Programming Languages · Computer Science 2015-06-12 Keehang Kwon , Sungwoo Hur , Mi-Young Park

We propose a purely extensional semantics for higher-order logic programming. In this semantics program predicates denote sets of ordered tuples, and two predicates are equal iff they are equal as sets. Moreover, every program has a unique…

Programming Languages · Computer Science 2011-06-20 A. Charalambidis , K. Handjopoulos , P. Rondogiannis , W. W. Wadge

We study a conservative extension of classical propositional logic distinguishing between four modes of statement: a proposition may be affirmed or denied, and it may be strong or classical. Proofs of strong propositions must be…

Logic in Computer Science · Computer Science 2021-04-19 Pablo Barenbaum , Teodoro Freund

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

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