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New Algorithms for Verification of Relative Observability and Computation of Supremal Relatively Observable Sublanguage

机译:验证相对可观察性和至上相对可观察子语言的计算的新算法

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摘要

In this technical note, we present a new property of relative observability, and based on this property, we propose two algorithms: the first one, that has polynomial complexity, verifies if a regular language is relatively observable; the second algorithm computes the supremal relatively observable sublanguage of a given regular language. Although the latter has exponential complexity, it is more efficient than a recently proposed algorithm, which has double exponential complexity. Moreover, the algorithm proposed here has polynomial complexity when the automaton that marks the specification language is state partition.
机译:在本技术说明中,我们提出了一种相对可观察性的新属性,并基于此属性,我们提出了两种算法:第一种算法具有多项式复杂度,可验证常规语言是否相对可观察;第二种算法计算给定规则语言的最高相对可观察子语言。尽管后者具有指数复杂度,但是它比最近提出的算法(具有两倍的指数复杂度)更有效。此外,当标记规范语言的自动机为状态分区时,此处提出的算法具有多项式复杂度。

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