Linear Temporal Logic and Propositional Schemata, Back and Forth

Vincent Aravantinos (1) , Ricardo Caferra (1) , Nicolas Peltier (1)

1 LIG - Laboratoire d'Informatique de Grenoble

This paper relates the well-known Linear Temporal Logic with the logic of propositional schemata introduced in elsewhere by the authors. We prove that LTL is equivalent to a class of schemata in the sense that polynomial-time reductions exist from one logic to the other. Some consequences about complexity are given. We report about first experiments and the consequences about possible improvements in existing implementations are analyzed.

Domaines: Logique en informatique [cs.LO]

Vincent Aravantinos, Ricardo Caferra, Nicolas Peltier. Linear Temporal Logic and Propositional Schemata, Back and Forth. TIME 2011 - International Symposium on Temporal Representation and Reasoning, Sep 2011, Lubeck, Germany. pp.80-87, ⟨10.1109/TIME.2011.11⟩. ⟨hal-00931690⟩