Tractability Frontier of Data Complexity in Team Semantics

We study the data complexity of model-checking for logics with team semantics. For dependence and independence logic, we completely characterize the tractability/intractability frontier of data complexity of both quantifier-free and quantified formulas. For inclusion logic formulas, we reduce the mo...

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Main Authors: Arnaud Durand, Juha Kontinen, Nicolas de Rugy-Altherre, Jouko Väänänen
Format: Article
Language:English
Published: Open Publishing Association 2015-09-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1503.01144v2
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author Arnaud Durand
Juha Kontinen
Nicolas de Rugy-Altherre
Jouko Väänänen
author_facet Arnaud Durand
Juha Kontinen
Nicolas de Rugy-Altherre
Jouko Väänänen
author_sort Arnaud Durand
collection DOAJ
description We study the data complexity of model-checking for logics with team semantics. For dependence and independence logic, we completely characterize the tractability/intractability frontier of data complexity of both quantifier-free and quantified formulas. For inclusion logic formulas, we reduce the model-checking problem to the satisfiability problem of so-called Dual-Horn propositional formulas. Via this reduction, we give an alternative proof for the recent result showing that the data complexity of inclusion logic is in PTIME.
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spelling doaj.art-ba033f5d90404de5bb697432fce2b8c92022-12-21T23:01:21ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802015-09-01193Proc. GandALF 2015738510.4204/EPTCS.193.6:21Tractability Frontier of Data Complexity in Team SemanticsArnaud DurandJuha KontinenNicolas de Rugy-AltherreJouko VäänänenWe study the data complexity of model-checking for logics with team semantics. For dependence and independence logic, we completely characterize the tractability/intractability frontier of data complexity of both quantifier-free and quantified formulas. For inclusion logic formulas, we reduce the model-checking problem to the satisfiability problem of so-called Dual-Horn propositional formulas. Via this reduction, we give an alternative proof for the recent result showing that the data complexity of inclusion logic is in PTIME.http://arxiv.org/pdf/1503.01144v2
spellingShingle Arnaud Durand
Juha Kontinen
Nicolas de Rugy-Altherre
Jouko Väänänen
Tractability Frontier of Data Complexity in Team Semantics
Electronic Proceedings in Theoretical Computer Science
title Tractability Frontier of Data Complexity in Team Semantics
title_full Tractability Frontier of Data Complexity in Team Semantics
title_fullStr Tractability Frontier of Data Complexity in Team Semantics
title_full_unstemmed Tractability Frontier of Data Complexity in Team Semantics
title_short Tractability Frontier of Data Complexity in Team Semantics
title_sort tractability frontier of data complexity in team semantics
url http://arxiv.org/pdf/1503.01144v2
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AT juhakontinen tractabilityfrontierofdatacomplexityinteamsemantics
AT nicolasderugyaltherre tractabilityfrontierofdatacomplexityinteamsemantics
AT joukovaananen tractabilityfrontierofdatacomplexityinteamsemantics