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» On the Complexity of Fragments of Modal Logics
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ATAL
2010
Springer
13 years 6 months ago
On the logic of argumentation theory
The paper applies modal logic to formalize fragments of argumentation theory. Such formalization allows to import, for free, a wealth of new notions (e.g., argument equivalence), ...
Davide Grossi
ACTA
2004
97views more  ACTA 2004»
13 years 5 months ago
Past is for free: on the complexity of verifying linear temporal properties with past
We study the complexity of satisfiability and model-checking of the linear-time temporal logic with past (pltl). More precisely, we consider several fragments of pltl, depending o...
Nicolas Markey
ITA
2007
13 years 5 months ago
Three notes on the complexity of model checking fixpoint logic with chop
Abstract. This paper analyses the complexity of model checking Fixpoint Logic with Chop – an extension of the modal µ-calculus with a sequential composition operator. It uses tw...
Martin Lange
LMCS
2007
132views more  LMCS 2007»
13 years 5 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
MLQ
2008
103views more  MLQ 2008»
13 years 5 months ago
On contraction and the modal fragment
We observe that removing contraction from a standard sequent calculus for first-order predicate logic preserves completeness for the modal fragment.
Kai Brünnler, Dieter Probst, Thomas Studer