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This paper establishes and proves representation theorems for cumulative propositional dependence logic and for cumulative propositional logic with team semantics. Cumulative logics are famously given by System C. For propositional…

Logic in Computer Science · Computer Science 2026-02-26 Juha Kontinen , Arne Meier , Kai Sauerwald

A critical function of an organization is to foster the level of integration (coordination and cooperation) necessary to achieve its objectives. The need to coordinate and motivation to cooperate emerges from the myriad dependencies between…

Artificial Intelligence · Computer Science 2024-01-02 Mena Rizk , Daniela Rosu , Mark Fox

In this paper, we further develop the framework of Modular Systems that lays model-theoretic foundations for combining different declarative languages, agents and solvers. We introduce a multi-language logic of modular systems. We define…

Logic in Computer Science · Computer Science 2014-05-07 Shahab Tasharrofi , Eugenia Ternovska

There is a growing need for abstractions in logic specification languages such as FO(.) and ASP. One technique to achieve these abstractions are templates (sometimes called macros). While the semantics of templates are virtually always…

Logic in Computer Science · Computer Science 2020-02-19 Ingmar Dasseville , Matthias van der Hallen , Gerda Janssens , Marc Denecker

We extend the usual internal logic of a (pre)topos to a more general interpretation, called the stack semantics, which allows for "unbounded" quantifiers ranging over the class of objects of the topos. Using well-founded relations inside…

Category Theory · Mathematics 2010-04-23 Michael A. Shulman

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

The computational properties of modal and propositional dependence logics have been extensively studied over the past few years, starting from a result by Sevenster showing NEXPTIME-completeness of the satisfiability problem for modal…

Logic in Computer Science · Computer Science 2023-06-22 Miika Hannula

We study the data complexity of model-checking for logics with team semantics. We focus on dependence, inclusion, and independence logic formulas under both strict and lax team semantics. Our results delineate a clear…

Logic in Computer Science · Computer Science 2021-08-16 Arnaud Durand , Juha Kontinen , Nicolas de Rugy-Altherre , Jouko Väänänen

In this article, we study the complexity of weighted team definability for logics with team semantics. This problem is a natural analogue of one of the most studied problems in parameterized complexity, the notion of weighted…

Logic in Computer Science · Computer Science 2023-02-02 Juha Kontinen , Yasir Mahmood , Arne Meier , Heribert Vollmer

We develop team semantics for Linear Temporal Logic (LTL) to express hyperproperties, which have recently been identified as a key concept in the verification of information flow properties. Conceptually, we consider an asynchronous and a…

Logic in Computer Science · Computer Science 2018-06-26 Andreas Krebs , Arne Meier , Jonni Virtema , Martin Zimmermann

In recent years, the logic of questions and dependencies has been investigated in the closely related frameworks of inquisitive logic and dependence logic. These investigations have assumed classical logic as the background logic of…

Logic · Mathematics 2020-11-11 Ivano Ciardelli , Rosalie Iemhoff , Fan Yang

Several authors have recently defined intuitionistic logic based on team semantics (tIPC). In this paper we provide two alternative approaches to intermediate logics in the team semantics setting. We do this by modifying tIPC with axioms…

Logic · Mathematics 2022-09-22 Nick Bezhanishvili , Fan Yang

We provide two proofs of the compactness theorem for extensions of first-order logic based on team semantics. First, we build upon L\"uck's ultraproduct construction for team semantics and prove a suitable version of {\L}o\'s' Theorem.…

Logic · Mathematics 2025-01-24 Joni Puljujärvi , Davide Emilio Quadrellaro

We introduce Value Coalition Logic, a typed assignment-based reconstruction of classical coalition logic. The strategic semantics is unchanged: coalitional ability is still interpreted by the standard one-step game-form clause. The change…

Logic in Computer Science · Computer Science 2026-05-26 Shanxia Wang

In traditional semantics for classical logic and its extensions, such as modal logic, propositions are interpreted as subsets of a set, as in discrete duality, or as clopen sets of a Stone space, as in topological duality. A point in such a…

Logic · Mathematics 2024-05-14 Wesley H. Holliday

In this paper, we investigate the parameterized complexity of model checking for Dependence Logic which is a well studied logic in the area of Team Semantics. We start with a list of nine immediate parameterizations for this problem,…

Logic in Computer Science · Computer Science 2021-09-21 Juha Kontinen , Arne Meier , Yasir Mahmood

We present a framework for studying the concept of independence in a general context covering database theory, algebra and model theory as special cases. We show that well-known axioms and rules of independence for making inferences…

Logic · Mathematics 2016-03-10 Gianluca Paolini , Jouko Väänänen

This paper presents a simple decidable logic of functional dependence LFD, based on an extension of classical propositional logic with dependence atoms plus dependence quantifiers treated as modalities, within the setting of generalized…

Logic in Computer Science · Computer Science 2021-03-30 Alexandru Baltag , Johan van Benthem

Proof-theoretic semantics (P-tS) is the paradigm of semantics in which meaning in logic is based on proof (as opposed to truth). A particular instance of P-tS for intuitionistic propositional logic (IPL) is its base-extension semantics…

Logic in Computer Science · Computer Science 2023-03-30 Alexander V. Gheorghiu , David J. Pym

Definite descriptions are phrases of the form 'the $x$ such that $\varphi$', used to refer to single entities in a context. They are often more meaningful to users than individual names alone, in particular when modelling or querying data…

Logic in Computer Science · Computer Science 2021-06-30 Alessandro Artale , Andrea Mazzullo , Ana Ozaki , Frank Wolter