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Lean Formalization of Interpreting Lambda Calculus in Domain-Valued Random Variables (CSL 2026)

Lars Warren Ericson

Palomar Registrypalomar/PALOMAR-2026-09-28-000003Sep 28, 2026cs.LOscore 0

Formalization in Lean 4 / mathlib of the existing paper by Furber, Mardare, Panangaden, and Scott, Interpreting Lambda Calculus in Domain-Valued Random Variables (LIPIcs, Vol. 363, CSL 2026, Article 48). This repository formalizes that published mathematics; it does not present the paper's results as new mathematics originating in this repository. Three capstones sit on top of the rest of the paper: Theorem 26 (internal λ-interpretation in SetoidF_A), Corollary 34 (the Engeler model with numerals in V^A), and Theorem 43 (two fair-coin subsets of ℕ that are incomparable under the λ-definable…

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