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The fixpointanalysis machine. In I. Lee and S. A. Smolka, editors, Proceedings of the Sixth International Conference on Concurrency Theory (CONCUR ’95), Vol. 962 of Lecture Notes in Computer Science, pages 72–87. Springer-Verlag, 1995. SS94. O. Sokolsky and S. A. Smolka. Incremental model checking in the modal mucalculus. In D. Dill, editor, Proceedings of the Sixth International Conference on Computer Aided Verification (CAV ’94), Vol. 818 of Lecture Notes in Computer Science. Springer-Verlag, 1994.

O. E. Long. Model checking and modular verification. ACM Trans. on Programming Languages and Systems, 16(3):843–871, 1994. 10. G. Holzmann. Design and Validation of Computer Protocols. Prentice-Hall International Editors, 1991. 11. B. Josko. Verifying the correctness of AADL-modules using model checking. In J. W. -P. de Roever, and G. Rozenberg, editors, Proceedings of the REX Workshop on Stepwise Refinement of Distributed Systems, Models, Formalisms, Correctness, volume 430 of Lecture Notes in Computer Science.

4 5 6 Since AsB and As¬B both originate from the same assumption function As, it holds that AsB (ϕ) = ⊥ ⇐⇒ As¬B (ϕ) = ⊥. Notice that when working on ϕk we have already calculated As for all of its subformulas. t. (s, s ) ∈ R yes . MB → in1 33 This theorem states that if we run the algorithm on a full program, with an empty assumption function, the resulting function will give us full knowledge about which formulas in cl(ψ) hold in the initial states of the program according to the standard semantics of CT L.

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