A practical decision procedure for Propositional Projection Temporal Logic with infinite models

This paper presents a practical decision procedure for Propositional Projection Temporal Logic with infinite models. First, a set ProplPropl of labels lili, 0⩽i⩽n∈N00⩽i⩽n∈N0, is used to mark nodes of an LNFG of a formula, and a node with lili is treated as an accepting state as in an automaton. Further, the generalized Büchi accepting condition for automata is employed to identify a path (resulting a word) in an LNFG as a model of the formula. In addition, the implementation details of the decision procedure and relevant algorithms including pre-processing, LNFG, circle finding algorithms are presented; as a matter of fact, all algorithms are implemented by C++ programs.