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...
Main Authors: | , , , |
---|---|
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 |
_version_ | 1818418604255739904 |
---|---|
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. |
first_indexed | 2024-12-14T12:25:19Z |
format | Article |
id | doaj.art-ba033f5d90404de5bb697432fce2b8c9 |
institution | Directory Open Access Journal |
issn | 2075-2180 |
language | English |
last_indexed | 2024-12-14T12:25:19Z |
publishDate | 2015-09-01 |
publisher | Open Publishing Association |
record_format | Article |
series | Electronic Proceedings in Theoretical Computer Science |
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 |
work_keys_str_mv | AT arnauddurand tractabilityfrontierofdatacomplexityinteamsemantics AT juhakontinen tractabilityfrontierofdatacomplexityinteamsemantics AT nicolasderugyaltherre tractabilityfrontierofdatacomplexityinteamsemantics AT joukovaananen tractabilityfrontierofdatacomplexityinteamsemantics |