Open Research Index

catskillsresearch/scott1982

Lars Warren Ericson

Palomar Registrypalomar/PALOMAR-2026-08-24-000005Aug 24, 2026cs.LOscore 0

A Lean 4 / mathlib formalization of Dana Scott's 1982 ICALP paper *Domains for Denotational Semantics*. The Palomar compared result is only the first sentence of Theorem 7.2: if A and B are information systems, then so is A → B, and the approximable mappings f : A → B are exactly the elements f ∈ |A → B|. Challenge.lean imports Mathlib only and locks Definition 2.1, Definition 2.2, Definition 5.1, and Definition 7.1 (tokens, consistency, and the constructive-witness form of entailment). The remaining apply / curry clauses of the same numbered theorem live in Scott1982/Theorem72.lean and are…

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