Title

An Alpha-Corecursion Principle for the Infinitary Lambda Calculus

Document Type

Conference Proceeding

Publication Date

2012

Abstract

Gabbay and Pitts proved that lambda-terms up to alphaequivalence constitute an initial algebra for a certain endofunctor on the category of nominal sets. We show that the terms of the infinitary lambda-calculus form the final coalgebra for the same functor. This allows us to give a corecursion principle for alpha-equivalence classes of finite and infinite terms. As an application, we give corecursive definitions of substitution and of infinite normal forms (Böhm, Lévy-Longo and Berarducci trees).

Comments

This paper was originally presented at International Workshop on Coalgebraic Methods in Computer Science (CMCS) in 2012. DOI: 10.1007/978-3-642-32784-1_8

Copyright

Springer

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