منابع مشابه
Trace Semantics via Determinization
This paper takes a fresh look at the topic of trace semantics in the theory of coalgebras. The first development of coalgebraic trace semantics used final coalgebras in Kleisli categories, stemming from an initial algebra in the underlying category. This approach requires some non-trivial assumptions, like dcpo enrichment, which do not always hold, even in cases where one can reasonably speak o...
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A coalgebraic definition of finite and infinite trace semantics for probabilistic transition systems has recently been given using a certain Kleisli category. In this paper this semantics is developed using a coalgebraic method which is an instance of general determinization. Once applied to discrete systems, this point of view allows the exploitation of the determinized structure by up-to tech...
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Recent progress on defining abstract trace semantics for coalgebras rests upon two observations: (i) coalgebraic bisimulation for deterministic automata coincides with trace equivalence, and (ii) the classical powerset construction for automata determinization instantiates the generic idea of lifting a functor to the Eilenberg-Moore category of an appropriate monad T. We take this approach one ...
متن کاملGeneric Trace Semantics via Coinduction
Trace semantics has been defined for various kinds of state-based systems, notably with different forms of branching such as non-determinism vs. probability. In this paper we claim to identify one underlying mathematical structure behind these “trace semantics”, namely coinduction in a Kleisli category. This claim is based on our technical result that, under a suitably order-enriched setting, a...
متن کاملContext-Free Languages via Coalgebraic Trace Semantics
In this paper we identify context-free grammars as coalgebras. To obtain the associated context-free languages (consisting of only finite-length strings) we introduce a general and novel technique of finite trace semantics for coalgebras. It builds on top of the (possibly infinite) trace semantics introduced earlier by the second author, but extracts only finite behavior. Interestingly the fini...
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ژورنال
عنوان ژورنال: Journal of Computer and System Sciences
سال: 2015
ISSN: 0022-0000
DOI: 10.1016/j.jcss.2014.12.005