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» Modal Logic in Two Gestalts
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AML
2010
118views more  AML 2010»
13 years 10 months ago
The modal logic of continuous functions on the rational numbers
Let L be a propositional language with standard Boolean connectives plus two modalities: an S4-ish topological modality and a temporal modality , understood as `next'. We ext...
Philip Kremer
AML
2006
87views more  AML 2006»
13 years 10 months ago
The modal logic of continuous functions on cantor space
Abstract Let L be a propositional language with standard Boolean connectives plus two modalities: an S4-ish topological modality and a temporal modality , understood as `next'...
Philip Kremer
IANDC
2010
119views more  IANDC 2010»
13 years 8 months ago
Cut elimination in coalgebraic logics
We give two generic proofs for cut elimination in propositional modal logics, interpreted over coalgebras. We first investigate semantic coherence conditions between the axiomati...
Dirk Pattinson, Lutz Schröder
CORR
2008
Springer
148views Education» more  CORR 2008»
13 years 10 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
AAAI
2007
14 years 4 days ago
Prime Implicates and Prime Implicants in Modal Logic
The purpose of this paper is to extend the notions of prime implicates and prime implicants to the basic modal logic K. We consider a number of different potential definitions of...
Meghyn Bienvenu