Under consideration for publication in Math. Struct. in Comp. Science Relating Reasoning Methodologies in Linear Logic and Process Algebra

We show that the proof-theoretic notion of logical preorder coincides with the process-theoretic notion of barbed preorder for a CCS-like process 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 simulation and labeled transition systems. This result establishes a connection between an approach to reason about process specifications, the barbed preorder, and a method to reason about logic specifications, the logical preorder. 1