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Counting and Generating Terms in the Binary Lambda Calculus (Extended version) | | Katarzyna Grygiel
; Pierre Lescanne
; | | Date: |
17 Nov 2015 | | 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. | | Source: | arXiv, 1511.5334 | | Services: | Forum | Review | PDF | Favorites | |
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