An Expressively Complete Linear Time Temporal Logic for Mazurkiewicz Traces
نویسندگان
چکیده
منابع مشابه
An Expressively Complete Linear Time Temporal Logic for Mazurkiewicz Traces
A basic result concerning LTL, the propositional temporal logic of linear time, is that it is expressively complete; it is equal in expressive power to the first order theory of sequences. We present here a smooth extension of this result to the class of partial orders known as Mazurkiewicz traces. These partial orders arise in a variety of contexts in concurrency theory and they provide the co...
متن کاملLTL Is Expressively Complete for Mazurkiewicz Traces
A long standing open problem in the theory of (Mazurkiewicz) traces has been the question whether LTL (Linear Temporal Logic) is expressively complete with respect to the first order theory. We solve this problem positively for finite and infinite traces and for the simplest temporal logic, which is based only on next and until modalities. Similar results were established previously, but they w...
متن کاملAn Expressively Complete Linear Time Temporal
A basic result concerning LT L, the propositional temporal logic of linear time, is that it is expressively complete; it is equal in expressive power to the rst order theory of sequences. We present here a smooth extension of this result to the class of partial orders known as Mazurkiewicz traces. These partial orders arise in a variety of contexts in concurrency theory and they provide the con...
متن کاملPure Future Local Temporal Logics Are Expressively Complete for Mazurkiewicz Traces
The paper settles a long standing problem for Mazurkiewicz traces: the pure future local temporal logic defined with the basic modalities exists-next and until is expressively complete. The analogous result with a global interpretation was solved some years ago by Thiagarajan and Walukiewicz (1997) and in its final form without any reference to past tense constants by Diekert and Gastin (2000)....
متن کاملWhen is Metric Temporal Logic Expressively Complete?
A seminal result of Kamp is that over the reals Linear Temporal Logic (LTL) has the same expressive power as first-order logic with binary order relation < and monadic predicates. A key question is whether there exists an analogue of Kamp’s theorem for Metric Temporal Logic (MTL) – a generalization of LTL in which the Until and Since modalities are annotated with intervals that express metric c...
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ژورنال
عنوان ژورنال: BRICS Report Series
سال: 1996
ISSN: 1601-5355,0909-0878
DOI: 10.7146/brics.v3i62.18563