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Inf-datalog, modal logic and complexities
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) no. 1, pp. 1-21

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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 CTL and alternation-free modal μ-calculus, and 2. linear-space (data and program) complexities, linear-time program complexity and polynomial-time data complexity for Lμ k (modal μ-calculus with fixed alternation-depth at most k).

DOI : 10.1051/ita:2007043
Classification : 68Q19, 03C13
Keywords: databases, model-checking, specification languages, performance evaluation 
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Foustoucos, Eugénie; Guessarian, Irène. Inf-datalog, modal logic and complexities. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) no. 1, pp. 1-21. doi: 10.1051/ita:2007043

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