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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

We introduce some new logics of imperfect information by adding atomic formulas corresponding to inclusion and exclusion dependencies to the language of first order logic. The properties of these logics and their relationships with other…

Logic · Mathematics 2011-06-14 Pietro Galliani

We extend the treatment of functional dependence, the basic concept of dependence logic, to include the possibility of dependence with a limited number of exceptions. We call this approximate dependence. The main result of the paper is a…

Logic · Mathematics 2014-08-20 Jouko Väänänen

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

We consider team semantics for propositional logic, continuing our previous work (Yang & V\"a\"an\"anen 2016). In team semantics the truth of a propositional formula is considered in a set of valuations, called a team, rather than in an…

Logic · Mathematics 2018-12-19 Fan Yang , Jouko Väänänen

We study the expressive power of fragments of inclusion and independence logic defined either by restricting the number of universal quantifiers or the arity of inclusion and independence atoms in formulas. Assuming the so-called lax…

Logic · Mathematics 2013-04-17 Pietro Galliani , Miika Hannula , Juha Kontinen

Logics with team semantics provide alternative means for logical characterization of complexity classes. Both dependence and independence logic are known to capture non-deterministic polynomial time, and the frontiers of tractability in…

Logic in Computer Science · Computer Science 2019-03-27 Miika Hannula , Lauri Hella

We introduce propositional team-based logics expressively complete for (quasi) downward and (quasi) upward closed properties in a syntactically dual way, by using variants of the inclusion atom. In particular, the variants of the primitive…

Logic · Mathematics 2026-03-06 Matilda Häggblom

We give an overview of some developments in dependence and independence logic. This is a tiny selection, intended for a newcomer, from a rapidly growing literature on the topic. Furthermore, we discuss conditional independence atoms and we…

Logic · Mathematics 2013-05-28 Pietro Galliani , Jouko Väänänen

We prove expressive completeness results for convex propositional and modal team logics, where a logic is convex if, for each formula, if it is true in two teams $t$ and $u$ and $t\subseteq s\subseteq u$, then it is also true in $s$. We…

Logic · Mathematics 2025-03-31 Aleksi Anttila , Søren Brinck Knudstorp

In this paper, we introduce a logic based on team semantics, called FOT, whose expressive power is elementary, i.e., coincides with first-order logic both on the level of sentences and (possibly open) formulas, and we also show that a…

Logic · Mathematics 2022-08-17 Juha Kontinen , Fan Yang

Inquisitive team logic is a variant of inquisitive logic interpreted in team semantics, which has been argued to provide a natural setting for the regimentation of dependence claims. With respect to sentences, this logic is known to be…

Logic · Mathematics 2026-03-10 Juha Kontinen , Ivano Ciardelli

Team semantics is the mathematical basis of modern logics of dependence and independence. In contrast to classical Tarski semantics, a formula is evaluated not for a single assignment of values to the free variables, but on a set of such…

Logic in Computer Science · Computer Science 2020-11-20 Erich Grädel , Richard Wilke

This paper considers the complexity and properties of KLM-style preferential reasoning in the setting of propositional logic with team semantics and dependence atoms, also known as propositional dependence logic. Preferential team-based…

Artificial Intelligence · Computer Science 2025-05-14 Kai Sauerwald , Arne Meier , Juha Kontinen

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

We develop dimension theoretic methods for propositional team based logics. Such quantitative methods were defined for team based first-order logic in a recent paper by Hella, Luosto and the third author and were used to obtain strong…

Logic · Mathematics 2026-02-27 Matilda Häggblom , Minna Hirvonen , Jouko Väänänen

We study quantified propositional logics from the complexity theoretic point of view. First we introduce alternating dependency quantified boolean formulae (ADQBF) which generalize both quantified and dependency quantified boolean formulae.…

Logic in Computer Science · Computer Science 2016-09-15 Miika Hannula , Juha Kontinen , Martin Lück , Jonni Virtema

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 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 continue the work on the relations between independence logic and the model-theoretic analysis of independence, generalizing the results of [15] and [16] to the framework of abstract independence relations for an arbitrary AEC. We give a…

Logic · Mathematics 2016-09-09 Gianluca Paolini
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