A Formalization of the Theorem of Existence of First-Order Most General Unifiers

@inproceedings{Avelar2011AFO,
  title={A Formalization of the Theorem of Existence of First-Order Most General Unifiers},
  author={Andr{\'e}ia B. Avelar and Andr{\'e} Luiz Galdino and Fl{\'a}vio L. C. de Moura and Mauricio Ayala-Rinc{\'o}n},
  booktitle={LSFA},
  year={2011}
}
This work presents a formalization of the theorem of existence of most general unifiers in first-order signatures in the higher-order proof assistant PVS. The distinguishing feature of this formalization is that it remains close to the textbook proofs that are based on proving the correctness of the well-known Robinson's first-order unification algorithm. The formalization was applied inside a PVS development for term rewriting systems that provides a complete formalization of the Knuth-Bendix… 
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