Paper: Higher-order Unification via Explicit Substitutions (at LICS 1995)

Authors: Gilles Dowek Thérèse Hardin Claude Kirchner

Abstract

Higher-order unification is equational unification for beta-eta- conversion. But it is not first-order equational unification, as substitution has to avoid capture. In this paper higher-order unification is reduced to first-order equational unification in a suitable theory: the lambda-sigma-calculus of explicit substitutions.

BibTeX

  @InProceedings{DowekHardinKirchner-HigherorderUnificat,
    author = 	 {Gilles Dowek and Thérèse Hardin and Claude Kirchner},
    title = 	 {Higher-order Unification via Explicit Substitutions},
    booktitle =  {Proceedings of the Tenth Annual IEEE Symposium on Logic in Computer Science (LICS 1995)},
    year =	 {1995},
    month =	 {June}, 
    pages =      {366--374},
    location =   {San Diego, CA, USA}, 
    publisher =	 {IEEE Computer Society Press}
  }