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refactor(Semantics/Composition): a type of worlds, intensions from it - #5872

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refactor/ty2-1027l
Oct 27, 2026
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The semantic types gain worlds s, and Montague's intensions ⟨s,a⟩ become the functions from worlds (Ty.intens abbreviates .s ⇒ a), as in two-sorted type theory; no consumer's behaviour changes.

  • Partial and FirstOrder treat intensions as ordinary functions: worlds are trivial in the syntactic model, with SyntacticDomain.mono / Realizes.mono for the intensional modes; Gajewski2002's permutation lift is the identity at worlds
  • Logic/Modal headers trimmed to mathlib length (and two over-long lines from refactor(Semantics/Composition): extensional operators via DependsOn #5866 fixed); Coordinator results as linked prose

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github-actions Bot enabled auto-merge (squash) October 27, 2026 21:05
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github-actions Bot merged commit 4204452 into main Oct 27, 2026
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