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LATA
2010
Springer
14 years 2 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...
FOSSACS
2007
Springer
13 years 9 months ago
The Complexity of Generalized Satisfiability for Linear Temporal Logic
In a seminal paper from 1985, Sistla and Clarke showed that satisfiability for Linear Temporal Logic (LTL) is either NP-complete or PSPACE-complete, depending on the set of tempora...
Michael Bauland, Thomas Schneider 0002, Henning Sc...
JAIR
2011
166views more  JAIR 2011»
13 years 4 days 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...
TABLEAUX
2009
Springer
13 years 11 months ago
A Schemata Calculus for Propositional Logic
We define a notion of formula schema handling arithmetic parameters, indexed propositional variables (e.g. Pi) and iterated conjunctions/disjunctions (e.g. Vn i=1 Pi, where n is a...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
AAAI
2004
13 years 6 months ago
Complete Local Search for Propositional Satisfiability
Algorithms based on following local gradient information are surprisingly effective for certain classes of constraint satisfaction problems. Unfortunately, previous local search a...
Hai Fang, Wheeler Ruml