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arXiv · 1211.4100

Relating Reasoning Methodologies in Linear Logic and Process Algebra

Yuxin Deng·Iliano Cervesato·Robert J. Simmons
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Abstract

We show that the proof-theoretic notion of logical preorder coincides with the process-theoretic notion of contextual preorder for a CCS-like calculus obtained from the formula-as-process interpretation of a fragment of linear logic. The argument makes use of other standard notions in process algebra, namely a labeled transition system and a coinductively defined simulation relation. This result establishes a connection between an approach to reason about process specifications and a method to reason about logic specifications.

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Yuxin Deng, Iliano Cervesato, Robert J. Simmons. 2012-11-17. Relating Reasoning Methodologies in Linear Logic and Process Algebra. https://doi.org/10.1017/s0960129514000413

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