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We introduce a generalization of team semantics which provides a framework for manipulationist theories of causation based on structural equation models, such as Woodward's and Pearl's; our causal teams incorporate (partial or total)…

Logic · Mathematics 2018-05-15 Fausto Barbero , Gabriel Sandu

We study the expressivity and the complexity of various logics in probabilistic team semantics with the Boolean negation. In particular, we study the extension of probabilistic independence logic with the Boolean negation, and a recently…

Logic in Computer Science · Computer Science 2024-05-24 Miika Hannula , Minna Hirvonen , Juha Kontinen , Yasir Mahmood , Arne Meier , Jonni Virtema

We present a complete finite axiomatization of the unrestricted implication problem for inclusion and conditional independence atoms in the context of dependence logic. For databases, our result implies a finite axiomatization of the…

Logic · Mathematics 2013-09-23 Miika Hannula , Juha Kontinen

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

We present a game semantics for intuitionistic type theory. Specifically, we propose categories with families of a new variant of games and strategies for both extensional and intensional variants of the type theory with dependent function,…

Logic in Computer Science · Computer Science 2016-10-05 Norihiro Yamada

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

Propositional and modal inclusion logic are formalisms that belong to the family of logics based on team semantics. This article investigates the model checking and validity problems of these logics. We identify complexity bounds for both…

Logic in Computer Science · Computer Science 2017-04-25 Lauri Hella , Antti Kuusisto , Arne Meier , Jonni Virtema

The different semantics that can be assigned to a logic program correspond to different assumptions made concerning the atoms whose logical values cannot be inferred from the rules. Thus, the well founded semantics corresponds to the…

Logic in Computer Science · Computer Science 2007-05-23 Y. Loyer , N. Spyratos , D. Stamate

A type theory is presented that combines (intuitionistic) linear types with type dependency, thus properly generalising both intuitionistic dependent type theory and full linear logic. A syntax and complete categorical semantics are…

Logic in Computer Science · Computer Science 2026-05-07 Matthijs Vákár

We present syntactic characterisations for the union closed fragments of existential second-order logic and of logics with team semantics. Since union closure is a semantical and undecidable property, the normal form we introduce enables…

Logic in Computer Science · Computer Science 2023-06-22 Matthias Hoelzel , Richard Wilke

Dependence logics are a modern family of logics of independence and dependence which mimic notions of database theory. In this paper, we aim to initiate the study of enumeration complexity in the field of dependence logics and thereby get a…

Logic in Computer Science · Computer Science 2018-03-13 Arne Meier , Christian Reinbold

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 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

We introduce an atomic formula intuitively saying that given variables are independent from given other variables if a third set of variables is kept constant. We contrast this with dependence logic. We show that our independence atom gives…

Logic in Computer Science · Computer Science 2012-08-28 Erich Grädel , Jouko Väänänen

The languages of logics based on team semantics typically only allow atomic negation or restricted negation. In this paper, we explore propositional team-based logics with full (intuitionistic) negation. We demonstrate that including full…

Logic · Mathematics 2024-10-21 Fan Yang

A specification given as a formula in linear temporal logic (LTL) defines a system by its set of traces. However, certain features such as information flow security constraints are rather modeled as so-called hyperproperties, which are sets…

Logic in Computer Science · Computer Science 2020-04-28 Martin Lück

Team Semantics generalizes Tarski's Semantics by defining satisfaction with respect to sets of assignments rather than with respect to single assignments. Because of this, it is possible to use Team Semantics to extend First Order Logic via…

Logic · Mathematics 2022-07-01 Pietro Galliani

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

We provide a complete axiomatization of modal inclusion logic - team-based modal logic extended with inclusion atoms. We review and refine an expressive completeness and normal form theorem for the logic, define a natural deduction proof…

Logic · Mathematics 2025-03-13 Aleksi Anttila , Matilda Häggblom , Fan Yang

We classify the computational complexity of the satisfiability, validity and model-checking problems for propositional independence, inclusion, and team logic. Our main result shows that the satisfiability and validity problems for…

Logic in Computer Science · Computer Science 2017-01-06 Miika Hannula , Juha Kontinen , Jonni Virtema , Heribert Vollmer