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Conclusions, idea followed in this book is to exploit these hierarchies such that the least expressive logic is chosen with the most efficient verification procedure. In this final section, we will briefly summarize the content of the book, and give remarks on topics that are not covered by the book.用不完 发表于 2025-3-22 02:44:02
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Fixpoint Calculi,but none of them reaches the expressiveness of the .-calculus. The development of the .-calculus started in 1975, when Kfoury and Park proved that properties like termination and totality of programs can not be expressed in first order logics (see also Section 6.2.2). For this reason, Park [39Inertia 发表于 2025-3-23 02:02:57
Finite Automata,ata and finite state automata form a hierarchy that is in a beautiful correspondence to the Chomsky hierarchy of formal languages . Common to all of these machines is that they have a finite set of internal states that determine their behavior, and that they read an input word from a tape. TheAffection 发表于 2025-3-23 08:04:35
Temporal Logics,ms. We have already seen that every formula of our logic of .-automata .. can be translated to an equivalent .-calculus formula, but that the converse is, in general, not possible. The reason for this is that .-calculus formulas of alternation depth 2 were sufficient to capture .., and hence, there