The Complexity of Propositional Tense Logics

In [4], Ladner investigated the complexity of the provability problems for modal logics. In particular, he showed that provability in all modal logics between K and S4 is PSPACE-hard, and he constructed polynomial space bounded algorithms for deciding provability in K, T, and S4, which implies that the provability problems for these logics are PSPACE-complete.