Effective Finite-Valued Semantics for Labelled Calculi
We provide a systematic and modular method to define non-deterministic finite-valued semantics for a natural and very general family of canonical labelled calculi, of which many previously studied sequent and labelled calculi are particular instances. This semantics is effective, in the sense that it naturally leads to a decision procedure for these calculi. It is then applied to provide simple decidable semantic criteria for crucial syntactic properties of these calculi, namely (strong) analyticity and cut-admissibility.
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