3 research outputs found
Generating Bijections between HOAS and the Natural Numbers
A provably correct bijection between higher-order abstract syntax (HOAS) and
the natural numbers enables one to define a "not equals" relationship between
terms and also to have an adequate encoding of sets of terms, and maps from one
term family to another. Sets and maps are useful in many situations and are
preferably provided in a library of some sort. I have released a map and set
library for use with Twelf which can be used with any type for which a
bijection to the natural numbers exists.
Since creating such bijections is tedious and error-prone, I have created a
"bijection generator" that generates such bijections automatically together
with proofs of correctness, all in the context of Twelf.Comment: In Proceedings LFMTP 2010, arXiv:1009.218