Yet Another Correctness Criterion for Multiplicative Linear Logic with MIX
نویسندگان
چکیده
A new correctness criterion for discriminating Proof Nets among Proof Structures of Multiplicative Linear Logic with MIX rule is provided. This criterion is inspired by an original interpretation of Proof Structures as distributed systems, and logical formulae as processes. The computation inside a system corresponds to the logical ow of information inside a proof, that is, roughly, a distributed version of Girard's token trip. Proof Nets are then characterised as deadlock free Proof Structures (deadlock free distributed systems). This result follows by considering the causal dependencies among logical formulae inside proofs, and it provides a new understanding of notions like acyclicity, chains, and empires in terms of concurrent computations.
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