Inf-datalog, modal logic and complexities

Foustoucos, Eugénie; Guessarian, Irène

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009), p. 1-21 / Harvested from Numdam

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Résumé

Inf-Datalog extends the usual least fixpoint semantics of Datalog with greatest fixpoint semantics: we defined inf-Datalog and characterized the expressive power of various fragments of inf-Datalog in [16]. In the present paper, we study the complexity of query evaluation on finite models for (various fragments of) inf-Datalog. We deduce a unified and elementary proof that global model-checking (i.e. computing all nodes satisfying a formula in a given structure) has 1. quadratic data complexity in time and linear program complexity in space for $C T L$ and alternation-free modal $μ$ -calculus, and 2. linear-space (data and program) complexities, linear-time program complexity and polynomial-time data complexity for $L μ_{k}$ (modal $μ$ -calculus with fixed alternation-depth at most $k$ ).

Publié le : 2009-01-01

MR 2483442 | Zbl 1170.68015

DOI : https://doi.org/10.1051/ita:2007043
Classification: 68Q19, 03C13

@article{ITA_2009__43_1_1_0,
     author = {Foustoucos, Eug\'enie and Guessarian, Ir\`ene},
     title = {Inf-datalog, modal logic and complexities},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     volume = {43},
     year = {2009},
     pages = {1-21},
     doi = {10.1051/ita:2007043},
     mrnumber = {2483442},
     zbl = {1170.68015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ITA_2009__43_1_1_0}
}

Foustoucos, Eugénie; Guessarian, Irène. Inf-datalog, modal logic and complexities. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) pp. 1-21. doi : 10.1051/ita:2007043. http://gdmltest.u-ga.fr/item/ITA_2009__43_1_1_0/

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