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» A PSpace Algorithm for Graded Modal Logic
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CADE
1999
Springer
13 years 9 months ago
A PSpace Algorithm for Graded Modal Logic
We present a PSpace algorithm that decides satisfiability of the graded modal logic Gr(KR)—a natural extension of propositional modal logic KR by counting expressions—which pl...
Stephan Tobies
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
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
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
CORR
2008
Springer
148views Education» more  CORR 2008»
13 years 4 months ago
The craft of model making: PSPACE bounds for non-iterative modal logics
The methods used to establish PSPACE-bounds for modal logics can roughly be grouped into two classes: syntax driven methods establish that exhaustive proof search can be performed...
Lutz Schröder, Dirk Pattinson