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(nominal) unification by recursive descent with triangular substitutions

Authors

Ramana Kumar and Michael Norrish

Australian National University

NICTA

Abstract

We mechanise termination and correctness for two unification algorithms, written in a recursive descent style. One computes unifiers for first order terms, the other for nominal terms (terms including alpha-equivalent binding structure). Both algorithms work with triangular substitutions in accumulator-passing style: taking a substitution as input, and returning an extension of that substitution on success.

BibTeX Entry

  @inproceedings{Kumar_Norrish_10,
    month            = jul,
    paperurl         = {https://ts.data61.csiro.au/publications/nicta_full_text/3724.pdf},
    booktitle        = {International Conference on Interactive Theorem Proving},
    slides           = {http://ts.data61.csiro.au/publications/nicta_slides/3724.pdf},
    author           = {Kumar, Ramana and Norrish, Michael},
    year             = {2010},
    pages            = {51--66},
    title            = {(Nominal) Unification by Recursive Descent with Triangular Substitutions},
    address          = {Edinburgh, United Kingdom}
  }

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