Expressivity and Complexity of Dependence Logic

Arnaud Durand (), Juha Kontinen () and Heribert Vollmer ()
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Arnaud Durand: Université Paris Diderot, IMJ-PRG, CNRS UMR 7586
Juha Kontinen: University of Helsinki, Department of Mathematics and Statistics
Heribert Vollmer: Leibniz Universität Hannover, Institut für Theoretische Informatik

A chapter in Dependence Logic, 2016, pp 5-32 from Springer

Abstract: Abstract In this article we review recent results on expressivity and complexity of first-order, modal, and propositional dependence logic and some of its variants such as independence and inclusion logic. Dependence logic was introduced by Jouko Väänänen in [56]. On the syntactic side, it extends usual first-order logic by the so-called dependence atoms the meaning of which is that the value of x n is functionally determined by the values of x 1, …, x n−1. The semantics of dependence logic is defined using sets of assignments, teams, rather than single assignments as in first-order logic. Since the introduction of dependence logic in 2007, the area of team semantics has evolved into a general framework for logics in which various notions of dependence and independence can be formalized and studied. In this paper we mainly consider variants of dependence logic arising by replacing/supplementing dependence atoms with further dependency notions, and we also study propositional and modal variants.

Keywords: Model Check; Modal Logic; Expressive Power; Kripke Model; Kripke Structure (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31803-5_2

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DOI: 10.1007/978-3-319-31803-5_2

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