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JAPLL
2010
133views more  JAPLL 2010»
13 years 5 months ago
Complexity of modal logics with Presburger constraints
We introduce the extended modal logic EML with regularity constraints and full Presburger constraints on the number of children that generalize graded modalities, also known as nu...
Stéphane Demri, Denis Lugiez
CADE
2006
Springer
13 years 10 months ago
Presburger Modal Logic Is PSPACE-Complete
We introduce a Presburger modal logic PML with regularity constraints and full Presburger constraints on the number of children that generalize graded modalities, also known as num...
Stéphane Demri, Denis Lugiez
FORMATS
2008
Springer
13 years 8 months ago
Complexity of Metric Temporal Logics with Counting and the Pnueli Modalities
The common metric temporal logics for continuous time were shown to be insufficient, when it was proved in [7, 12] that they cannot express a modality suggested by Pnueli. Moreover...
Alexander Rabinovich
AIML
2004
13 years 8 months ago
Complexity of Strict Implication
abstract. The aim of the present paper is to analyze the complexity of strict implication (together with falsum, conjunction and disjunction). We prove that Ladner's Theorem r...
Félix Bou
KI
2008
Springer
13 years 6 months ago
Shallow Models for Non-iterative Modal Logics
Abstract. Modal logics see a wide variety of applications in artificial intelligence, e.g. in reasoning about knowledge, belief, uncertainty, agency, defaults, and relevance. From ...
Lutz Schröder, Dirk Pattinson