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相关论文: Counting of Teams in First-Order Team Logics

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We start the study of the enumeration complexity of different satisfiability problems in first-order team logics. Since many of our problems go beyond DelP, we use a framework for hard enumeration analogous to the polynomial hierarchy,…

计算机科学中的逻辑 · 计算机科学 2021-01-01 Anselm Haak , Arne Meier , Fabian Müller , Heribert Vollmer

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…

计算机科学中的逻辑 · 计算机科学 2019-03-27 Miika Hannula , Lauri Hella

Probabilistic team semantics is a framework for logical analysis of probabilistic dependencies. Our focus is on the axiomatizability, complexity, and expressivity of probabilistic inclusion logic and its extensions. We identify a natural…

计算机科学中的逻辑 · 计算机科学 2021-12-22 Miika Hannula , Jonni Virtema

It is well known that dependence logic captures the complexity class NP, and it has recently been shown that inclusion logic captures P on ordered models. These results demonstrate that team semantics offers interesting new possibilities…

逻辑 · 数学 2014-08-19 Antti Kuusisto

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…

计算机科学中的逻辑 · 计算机科学 2024-05-24 Miika Hannula , Minna Hirvonen , Juha Kontinen , Yasir Mahmood , Arne Meier , Jonni Virtema

We study the logic FO(~), the extension of first-order logic with team semantics by unrestricted Boolean negation. It was recently shown axiomatizable, but otherwise has not yet received much attention in questions of computational…

计算机科学中的逻辑 · 计算机科学 2018-04-16 Martin Lück

First Order Team Semantics is a generalization of Tarskian Semantics in which formulas are satisfied with respect to sets of assignments. In Team Semantics, it is possible to extend First Order Logic via new types of atoms that describe…

逻辑 · 数学 2025-06-19 Pietro Galliani

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…

逻辑 · 数学 2022-07-01 Pietro Galliani

Team semantics is a semantical framework for the study of dependence and independence concepts ubiquitous in many areas such as databases and statistics. In recent works team semantics has been generalised to accommodate also multisets and…

计算机科学中的逻辑 · 计算机科学 2018-03-07 Arnaud Durand , Miika Hannula , Juha Kontinen , Arne Meier , Jonni Virtema

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…

计算机科学中的逻辑 · 计算机科学 2023-02-02 Juha Kontinen , Yasir Mahmood , Arne Meier , Heribert Vollmer

We study the complexity of predicate logics based on team semantics. We show that the satisfiability problems of two-variable independence logic and inclusion logic are both NEXPTIME-complete. Furthermore, we show that the validity problem…

计算机科学中的逻辑 · 计算机科学 2016-06-21 Juha Kontinen , Antti Kuusisto , Jonni Virtema

In this thesis (modal) dependence logic is investigated. It was introduced in 2007 by Jouko V\"a\"aan\"anen as an extension of first-order (resp. modal) logic by the dependence operator =(). For first-order (resp. propositional) variables…

计算机科学中的逻辑 · 计算机科学 2012-06-21 Peter Lohmann

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…

逻辑 · 数学 2026-03-10 Juha Kontinen , Ivano Ciardelli

We define and study logics in the framework of probabilistic team semantics and over metafinite structures. Our work is paralleled by the recent development of novel axiomatizable and tractable logics in team semantics that are closed under…

计算机科学中的逻辑 · 计算机科学 2021-04-12 Miika Hannula , Minna Hirvonen , Juha Kontinen

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…

逻辑 · 数学 2011-06-14 Pietro Galliani

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…

计算机科学中的逻辑 · 计算机科学 2018-03-13 Arne Meier , Christian Reinbold

Team Semantics is a generalization of Tarskian Semantics that can be used to add to First Order Logic atoms and connectives expressing dependencies between the possible values of variables. Some of these extensions are more expressive than…

逻辑 · 数学 2021-05-13 Pietro Galliani

Descriptive Complexity has been very successful in characterizing complexity classes of decision problems in terms of the properties definable in some logics. However, descriptive complexity for counting complexity classes, such as FP and…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Marcelo Arenas , Martin Muñoz , Cristian Riveros

Team Semantics generalizes Tarski's Semantics for First Order Logic by allowing formulas to be satisfied or not satisfied by sets of assignments rather than by single assignments. Because of this, in Team Semantics it is possible to extend…

逻辑 · 数学 2019-09-19 Pietro Galliani

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…

计算机科学中的逻辑 · 计算机科学 2017-01-06 Miika Hannula , Juha Kontinen , Jonni Virtema , Heribert Vollmer
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