A Tableau Method for Interval Temporal Logic

In this paper we present a complete tableau method for interval temporal logic including the projection operator. Central to our strategy is the identification of normal forms for all the operators of our logic. In effect, these normal forms give inductive definitions of the ITL operators. Then, in the style of Wolper, we define a tableau decision procedure to check satisfiability of our logic. For simplicity of presentation we work in the propositional setting.