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» Complexity of modal logics with Presburger constraints
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JAPLL
2010
133views more  JAPLL 2010»
13 years 3 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 8 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
JANCL
2006
74views more  JANCL 2006»
13 years 4 months ago
Linear-time temporal logics with Presburger constraints: an overview
We present an overview of linear-time temporal logics with Presburger constraints whose models are sequences of tuples of integers. Such formal specification languages are welldesi...
Stéphane Demri
KI
2008
Springer
13 years 4 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
CADE
2005
Springer
14 years 5 months ago
An Algorithm for Deciding BAPA: Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard