Non-Deterministic Kleene Coalgebras

Non-Deterministic Kleene Coalgebras
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DOI:
10.2168/lmcs-6(3:23)2010
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发表时间:
2010-07
期刊:
Log. Methods Comput. Sci.
影响因子:
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通讯作者:
Alexandra Silva;M. Bonsangue;J. Rutten
Alexandra Silva;M. Bonsangue;J. Rutten
中科院分区:
其他
文献类型:
--
作者:
Alexandra Silva;M. Bonsangue;J. Rutten

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在本文中,我们提出了一个系统的方法来推导(1)(广义)正则表达式的语言,(2)健全和完整的公理化,为各种各样的系统。这推广了Kleene(关于正则语言和确定性有限自动机)和米尔纳(关于正则行为和有限标号转移系统)的结果,并包括许多其他系统,如Mealy和摩尔机。
In this paper, we present a systematic way of deriving (1) languages of (gener- alised) regular expressions, and (2) sound and complete axiomatizations thereof, for a wide variety of systems. This generalizes both the results of Kleene (on regular languages and de- terministic finite automata) and Milner (on regular behaviours and finite labelled transition systems), and includes many other systems such as Mealy and Moore machines.