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» Lower bounds for modal logics
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APAL
2007
71views more  APAL 2007»
13 years 7 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»
13 years 7 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
AIML
1998
13 years 8 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
13 years 8 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
13 years 8 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