A new one-pass tableau calculus for PLTL

The paper presents a one-pass tableau calculus PLTLT for the propositional linear time logic PLTL. The calculus is correct and complete and unlike in previous decision methods, there is no second phase that checks for the fulfillment of the so-called eventuality formulae. This second phase is performed locally and is incorporated into the rules of the calculus. Derivations in PLTLT are cyclic trees rather than cyclic graphs. When used as a basis for a decision procedure, it has the advantage that only one branch needs to be kept in memory at any one time. It may thus be a suitable starting point for the development of a parallel decision method for PLTL.