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Synthetic Undecidability of MSELL via FRACTRAN Mechanised in Coq
2021
We present an alternate undecidability proof for entailment in (intuitionistic) multiplicative sub-exponential linear logic (MSELL). We contribute the result and its mechanised proof to the Coq library of synthetic undecidability. The result crucially relies on the undecidability of the halting problem for two counters Minsky machines, which we also hand out to the library. As a seed of undecidability, we start from FRACTRAN halting which we (many-one) reduce to Minsky machines termination by
doi:10.4230/lipics.fscd.2021.18
fatcat:a3zmawbm4be53kxbc4z2kmbi74