Abstract

The propositional mu-calculus as introduced by Kozen in [4] is<br />considered. The notion of disjunctive formula is defined and it is shown<br />that every formula is semantically equivalent to a disjunctive formula.<br />For these formulas many difficulties encountered in the general case may<br />be avoided. For instance, satisfiability checking is linear for disjunctive<br />formulas. This kind of formula gives rise to a new notion of finite automaton<br />which characterizes the expressive power of the mu-calculus over<br />all transition systems.

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