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TTL: A formalism to describe local and global properties of distributed systems. (English) Zbl 0766.68035

Summary: We develop a logic formalism to describe and prove properties of finite- state districuted systems. This formalism is based on a branching time approach and is called typed temporal logic (TTL). For a distributed system \(D\), we give two TTL theories, LTT\(_ D\) and LGTT\(_ D\) (local time theory and local and global time theory of \(D\), respectively). The theory LTT\(_ D\) allows specifying distributed systems by local axioms, namely by properties that hold with respect to local observations of system parts. The theory LGTT\(_ D\) has a mechanism to infer global properties of the system \(D\) from local properties. For both theories we show that theorem proving is reducible to model checking.

MSC:

68Q10 Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.)
03B45 Modal logic (including the logic of norms)
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References:

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