A Proof of Coincidence of Labeled Bisimilarity and Observational Equivalence in Applied Pi Calculus

A Proof of Coincidence of Labeled Bisimilarity and Observational Equivalence in Applied Pi Calculus
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应用Pi演算中标记双相似性与观察等价性的一致证明

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发表时间:
2011
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通讯作者:
Jia Liu
Jia Liu
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作者:
Jia Liu

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然而,这个问题可以通过要求仅在基本排序上定义活动替换来解决(参见,例如,[3])。本文的目的是提供定理的一个证明。在[1]的原始语义中,结构等价的使用引入了许多可能性,并且使得很难写出严格的证明。为了克服这个困难,我们将使用最初在[3]中提出的中间语义作为桥梁。将讨论四个等价物:
However, this problem can be fixed by requiring active substitutions be defined on the base sort only (see, for instance, [3]). The purpose of this note is to supply a proof for the theorem. In the original semantics in [1], the use of structural equivalence introduces many possibilities and makes it difficult to write a rigorous proof. To overcome the difficulty we shall use intermediate semantics, originally proposed in [3], as a bridge. Four equivalences will be discussed: