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» Lower bounds for modal logics
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APAL
2007
71views more  APAL 2007»
14 years 10 months ago
A lower bound for intuitionistic logic
We give an exponential lower bound on number of proof-lines in intuitionistic propositional logic, IL, axiomatised in the usual Frege-style fashion; i.e., we give an example of IL...
Pavel Hrubes
LMCS
2007
132views more  LMCS 2007»
14 years 10 months ago
The Complexity of Model Checking Higher-Order Fixpoint Logic
Higher-Order Fixpoint Logic (HFL) is a hybrid of the simply typed λ-calculus and the modal µ-calculus. This makes it a highly expressive temporal logic that is capable of express...
Roland Axelsson, Martin Lange, Rafal Somla
93
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AIML
1998
14 years 11 months ago
A Resolution-Based Decision Procedure for Extensions of K4
Abstract. This paper presents a resolution decision procedure for transitive propositional modal logics. The procedure combines the relational translation method with an ordered ch...
Harald Ganzinger, Ullrich Hustadt, Christoph Meyer...
AIML
2004
14 years 11 months ago
On the Complexity of Fragments of Modal Logics
We study and give a summary of the complexity of 15 basic normal monomodal logics under the restriction to the Horn fragment and/or bounded modal depth. As new results, we show tha...
Linh Anh Nguyen
AIML
2008
14 years 11 months ago
PSPACE-decidability of Japaridze's polymodal logic
In this paper we prove that Japaridze's Polymodal Logic is PSPACE-decidable. To show this, we describe a decision procedure for satisfiability on hereditarily ordered frames t...
Ilya Shapirovsky