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JAIR
2011
166views more  JAIR 2011»
12 years 11 months ago
Decidability and Undecidability Results for Propositional Schemata
We define a logic of propositional formula schemata adding to the syntax of propositional logic indexed propositions (e.g., pi) and iterated connectives ∨ or ∧ ranging over i...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
LATA
2010
Springer
14 years 1 months ago
Complexity of the Satisfiability Problem for a Class of Propositional Schemata
Abstract. Iterated schemata allow to define infinite languages of propositional formulae through formulae patterns. Formally, schemata extend propositional logic with new (generali...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
IJCAI
2003
13 years 5 months ago
On the Undecidability of Description and Dynamic Logics with Recursion and Counting
The evolution of Description Logics (DLs) and Propositional Dynamic Logics produced a hierar­ chy of decidable logics with multiple maximal el­ ements. It would be desirable to ...
Piero A. Bonatti
ENTCS
2010
120views more  ENTCS 2010»
13 years 4 months ago
Undecidability of the Logic of Overlap Relation over Discrete Linear Orderings
The validity/satisfiability problem for most propositional interval temporal logics is (highly) undecidable, under very weak assumptions on the class of interval structures in whi...
Davide Bresolin, Dario Della Monica, Valentin Gora...
CADE
2005
Springer
14 years 4 months ago
Temporal Logics over Transitive States
Abstract. We investigate the computational behaviour of `two-dimensional' propositional temporal logics over (N, <) (with and without the next-time operator ?) that are cap...
Boris Konev, Frank Wolter, Michael Zakharyaschev