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Verification techniques for Timed Automata  built in tools like Kronos  are based on the fixpoint calculus of an appropriate operator. In this work, we present different alternatives to calculate that fixpoint, which have direct impact in the number of iterations needed to converge. Open access under CC BY-NC-ND license.doi:10.1016/s1571-0661(04)80469-9 fatcat:ugffuym5kjcdhprszhjpyrgkb4