By Faron Moller, Graham Birtwistle
This ebook provides 5 tutorial-style lectures on a variety of ways to the matter of verifying dispensed platforms: 3 chapters pay attention to linear-time or branching-time temporal logics; one addresses technique equivalence with an emphasis on infinite-state structures; and the ultimate one offers a singular category-theoretic method of verification. a few of the formalisms for expressing homes of concurrent platforms, in line with automata-theoretic thoughts or structural homes, are studied in detail.
Much awareness is paid to the fashion of writing and complementary insurance of the suitable concerns. therefore those lecture notes are preferrred for complex classes on logics for concurrent structures. both, they're integral interpreting for an individual getting to know the realm of disbursed computing.
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The Model Checking Problem - Given a finite state transition graph M and a temporal logic specification formula f, is M a model of f ? This is useful in automatic verification of (finite state) reactive programs. 2. The Satisfiability Problem - Given a temporal logic specification formula f , does there exist a model M of f ? This is useful in automatic synthesis of (finite state) reactive programs. Thus automated program reasoning, in various forms, is possible in principle. The limiting factors are: a.
Each philosopher spends most of his time thinking, but occasionally becomes hungry and wants to eat. In order to eat, he has to pick up the two nearest forks; when he has finished eating, he puts the forks down again. The problem consists of defining a concurrent system which models this situation; there are then various questions which can be asked about its behaviour. One is about deadlock-freedom: is it possible for the system to reach a state in which nothing further can happen, for example because the forks have been picked up in an unsuitable way?
Y. Girard, Y. Lafont, and P. Taylor. Proofs and Types, volume 7 of Cambridge Tracts in Theoretical Computer Science. Cambridge University Press, 1989. 22. C. A. R. Hoare. Communicating SequentialProcesses. Prentice Hall, 1985. 23. N. D. Jones and F. Nielson. Abstract interpretation. In S. Abramsky, D. Gabbay, and T. Maibaum, editors, Handbook of Logic in Computer Science, volume 4. Oxford University Press, 1995. To appear. 24. G. M: Kelly and M. L. Laplaza. Coherence for compact closed categories.