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Tarski gave a general semantics for deductive reasoning: a formula a may be deduced from a set A of formulas iff a holds in all models in which each of the elements of A holds. A more liberal semantics has been considered: a formula a may…

Artificial Intelligence · Computer Science 2007-05-23 Daniel Lehmann

We introduce and develop a set-based semantics for asynchronous TeamLTL. We consider two canonical logics in this setting: the extensions of TeamLTL by the Boolean disjunction and by the Boolean negation. We establish fascinating…

Logic in Computer Science · Computer Science 2023-04-24 Juha Kontinen , Max Sandström , Jonni Virtema

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

Our understanding about things is conceptual. By stating that we reason about objects, it is in fact not the objects but concepts referring to them that we manipulate. Now, so long just as we acknowledge infinitely extending notions such as…

Artificial Intelligence · Computer Science 2015-04-21 Ryuta Arisaka

This paper explores how semantic-space reasoning, traditionally used in computational linguistics, can be extended to tactical decision-making in team sports. Building on the analogy between texts and teams -- where players act as words and…

Artificial Intelligence · Computer Science 2026-05-05 Alessio Di Rubbo , Mattia Neri , Remo Pareschi , Marco Pedroni , Roberto Valtancoli , Paolino Zica

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

It has been widely acknowledged that probabilistic independence and logical independence cannot be coherently reconciled. By bridging these two notions, this paper addresses three long-standing problems that have puzzled the field of…

Probability · Mathematics 2026-05-07 Chuanfeng Sun

We present a logic named L_{LF} whose intended use is to formalize properties of specifications developed in the dependently typed lambda calculus LF. The logic is parameterized by the LF signature that constitutes the specification. Atomic…

Logic in Computer Science · Computer Science 2022-04-12 Gopalan Nadathur , Mary Southern

Temporal logics have been studied as an approach to the specification of hyperproperties, resulting in the conception of "hyperlogics". With a few recent exceptions, the hyperlogics thus far developed can only relate different traces of a…

Logic in Computer Science · Computer Science 2024-02-06 Jens Oliver Gutsfeld , Arne Meier , Christoph Ohrem , Jonni Virtema

We introduce generalized quantifiers, as defined in Tarskian semantics by Mostowski and Lindstr\"om, in logics whose semantics is based on teams instead of assignments, e.g., IF-logic and Dependence logic. Both the monotone and the…

Logic · Mathematics 2012-04-04 Fredrik Engström

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 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 introduce the concepts of dependence and independence in a very general framework. We use a concept of rank to study dependence and independence. By means of the rank we identify (total) dependence with inability to create more…

Logic in Computer Science · Computer Science 2021-09-27 Pietro Galliani , Jouko Väänänen

Dependence logic provides an elegant approach for introducing dependencies between variables into the object language of first-order logic. In [1] generalized quantifiers were introduced in this context. However, a satisfactory account was…

Logic · Mathematics 2024-04-29 Fredrik Engström

Separation logic is a substructural logic which has proved to have numerous and fruitful applications to the verification of programs working on dynamic data structures. Recently, Barthe, Hsu and Liao have proposed a new way of giving…

Cryptography and Security · Computer Science 2024-05-21 Ugo Dal Lago , Davide Davoli , Bruce M. Kapron

We study fragments of dependence logic defined either by restricting the number k of universal quantifiers or the width of dependence atoms in formulas. We find the sublogics of existential second-order logic corresponding to these…

Logic in Computer Science · Computer Science 2015-03-19 Arnaud Durand , Juha Kontinen

We study the expressivity and complexity of model checking linear temporal logic with team semantics (TeamLTL). TeamLTL, despite being a purely modal logic, is capable of defining hyperproperties, i.e., properties which relate multiple…

Logic in Computer Science · Computer Science 2021-11-24 Jonni Virtema , Jana Hofmann , Bernd Finkbeiner , Juha Kontinen , Fan Yang

We present team semantics for two of the most important linear and branching time specification languages, Linear Temporal Logic (LTL) and Computation Tree Logic (CTL). With team semantics, LTL is able to express hyperproperties, which have…

Logic in Computer Science · Computer Science 2025-10-14 Andreas Krebs , Arne Meier , Jonni Virtema , Martin Zimmermann

I consider the question of which dependencies are safe for a Team Semantics-based logic FO(D), in the sense that they do not increase its expressive power over sentences when added to it. I show that some dependencies, like totality,…

Logic · Mathematics 2018-09-12 Pietro Galliani

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