Stratified negation in datalog with metric temporal operators

We extend DatalogMTL—Datalog with operators from metric temporal logic—by adding stratified negation as failure. The new language provides additional expressive power for representing and reasoning about temporal data and knowledge in a wide range of applications. We consider models over the rationa...

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Główni autorzy: Tena Cucala, D, Walega, P, Cuenca Grau, B, Kostylev, E
Format: Conference item
Język:English
Wydane: AAAI Press 2021
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author Tena Cucala, D
Walega, P
Cuenca Grau, B
Kostylev, E
author_facet Tena Cucala, D
Walega, P
Cuenca Grau, B
Kostylev, E
author_sort Tena Cucala, D
collection OXFORD
description We extend DatalogMTL—Datalog with operators from metric temporal logic—by adding stratified negation as failure. The new language provides additional expressive power for representing and reasoning about temporal data and knowledge in a wide range of applications. We consider models over the rational timeline, study their properties, and establish the computational complexity of reasoning. We show that, as in negation-free DatalogMTL, fact entailment in our language is PSPACE-complete in data and EXPSPACE-complete in combined complexity. Thus, the extension with stratified negation does not lead to higher complexity.
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spelling oxford-uuid:70bfb39f-9f72-41c2-9da4-6f78a56db65b2022-03-26T19:39:11ZStratified negation in datalog with metric temporal operatorsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:70bfb39f-9f72-41c2-9da4-6f78a56db65bEnglishSymplectic ElementsAAAI Press2021Tena Cucala, DWalega, PCuenca Grau, BKostylev, EWe extend DatalogMTL—Datalog with operators from metric temporal logic—by adding stratified negation as failure. The new language provides additional expressive power for representing and reasoning about temporal data and knowledge in a wide range of applications. We consider models over the rational timeline, study their properties, and establish the computational complexity of reasoning. We show that, as in negation-free DatalogMTL, fact entailment in our language is PSPACE-complete in data and EXPSPACE-complete in combined complexity. Thus, the extension with stratified negation does not lead to higher complexity.
spellingShingle Tena Cucala, D
Walega, P
Cuenca Grau, B
Kostylev, E
Stratified negation in datalog with metric temporal operators
title Stratified negation in datalog with metric temporal operators
title_full Stratified negation in datalog with metric temporal operators
title_fullStr Stratified negation in datalog with metric temporal operators
title_full_unstemmed Stratified negation in datalog with metric temporal operators
title_short Stratified negation in datalog with metric temporal operators
title_sort stratified negation in datalog with metric temporal operators
work_keys_str_mv AT tenacucalad stratifiednegationindatalogwithmetrictemporaloperators
AT walegap stratifiednegationindatalogwithmetrictemporaloperators
AT cuencagraub stratifiednegationindatalogwithmetrictemporaloperators
AT kostyleve stratifiednegationindatalogwithmetrictemporaloperators