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arXiv · 1511.05334

Counting and Generating Terms in the Binary Lambda Calculus (Extended version)

Katarzyna Grygiel·Pierre Lescanne
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Abstract

In a paper entitled Binary lambda calculus and combinatory logic, John Tromp presents a simple way of encoding lambda calculus terms as binary sequences. In what follows, we study the numbers of binary strings of a given size that represent lambda terms and derive results from their generating functions, especially that the number of terms of size n grows roughly like 1.963447954. .. n. In a second part we use this approach to generate random lambda terms using Boltzmann samplers.

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Katarzyna Grygiel, Pierre Lescanne. 2015-11-17. Counting and Generating Terms in the Binary Lambda Calculus (Extended version). https://doi.org/10.1017/s0956796815000271

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