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arXiv · 1709.05384

Nominal C-Unification

Mauricio Ayala-Rincón·Washington de Carvalho-Segundo·Maribel Fernández·Daniele Nantes-Sobrinho
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Abstract

Nominal unification is an extension of first-order unification that takes into account the \alpha-equivalence relation generated by binding operators, following the nominal approach. We propose a sound and complete procedure for nominal unification with commutative operators, or nominal C-unification for short, which has been formalised in Coq. The procedure transforms nominal C-unification problems into simpler (finite families) of fixpoint problems, whose solutions can be generated by algebraic techniques on combinatorics of permutations.

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Mauricio Ayala-Rincón, Washington de Carvalho-Segundo, Maribel Fernández, Daniele Nantes-Sobrinho. 2017-09-15. Nominal C-Unification. https://arxiv.org/abs/1709.05384

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