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Fitch-Style Modal Lambda Calculi
[article]
2018
arXiv
pre-print
Fitch-style modal deduction, in which modalities are eliminated by opening a subordinate proof, and introduced by shutting one, were investigated in the 1990s as a basis for lambda calculi. We show that such calculi have good computational properties for a variety of intuitionistic modal logics. Semantics are given in cartesian closed categories equipped with an adjunction of endofunctors, with the necessity modality interpreted by the right adjoint. Where this functor is an idempotent comonad,
arXiv:1710.08326v2
fatcat:o2xdujjh4baoji2pun754pba4i