A natural counting of lambda terms

Tytuł:

Czasopismo:

Rok:

2016

Opis:

We study the sequences of numbers corresponding to lambda terms of given sizes, where the size is this of lambda terms with de Bruijn indices in a very natural model where all the operators have size 1. For plain lambda terms, the sequence corresponds to two families of binary trees for which we exhibit bijections. We study also the distribution of normal forms, head normal forms and strongly normalizing terms. In particular we show that strongly normalizing terms are of density 0.

Strony:

183-194

Tom (seria wydawnicza):

9587

Numer DOI:

10.1007/978-3-662-49192-8_15

Link:

http://link.springer.com/chapter/10.1007/978-3-662-49192-8_15