feat: parallel substitution typeclass; refactor strong normalization#583
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WegmannDavid wants to merge 1 commit into
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feat: parallel substitution typeclass; refactor strong normalization#583WegmannDavid wants to merge 1 commit into
WegmannDavid wants to merge 1 commit into
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Add `HasParallelSubstitution` / `LawfulHasParallelSubstitution`: a notation typeclass for simultaneous substitution (the relative-monad structure, with `var` as unit and `psubst` as Kleisli extension), substitution composition, and the `MoreGeneral` (`≤ₚ`) preorder. Instantiate it for locally-nameless untyped λ-terms. Refactor the strong-normalization proof's substitution layer: replace the sequential `multiSubst` (a fold of single substitutions) with the parallel `Term.psubst` applied to a finitely-supported assignment `Env`. Rename MultiSubst.lean to SubstEnv.lean. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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Added the HasParallelSubstitution type class and refactor of the StrongNorm Proof to use this type class. The type class is intended for a future pull request that will add a unification algorithm.