English

Is alpha-conversion easy?

Logic in Computer Science 2014-04-03 v5 Logic

Abstract

We present a new lambda-calculus with explicit substitutions and named variables. Renaming of bound variables in this calculus is explicit (there is a special rewrite rule) and can be delayed. Contexts (environments) are not sets or lists without multiplicity, but have a more complicated structure. There is a natural order on the set of contexts. A "set" of free variables is not a set, but a context in the new sense. New definitions simplify working with alpha-conversion.

Keywords

Cite

@article{arxiv.1303.5039,
  title  = {Is alpha-conversion easy?},
  author = {George Cherevichenko},
  journal= {arXiv preprint arXiv:1303.5039},
  year   = {2014}
}

Comments

Bibliography was expanded, nothing else

R2 v1 2026-06-21T23:45:22.162Z