Residual Theory in Lambda-Calculus
- Gérard Huet
We present the complete development in Gallina of the residual theory of beta-reduction in pure lambda-calculus. The main result is the Prism Theorem, and its corollary Lévy's Cube Lemma, a strong form of the parallel-moves lemma, itself a key step towards the confluence theorem and its usual corollaries (Church-Rosser, uniqueness of normal forms).
pure lambda calculus, confluence, parallel moves lemma, lévy's cube lemma, church rosser, residual, prism theorem