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Nominal C-Unification
September 15, 2017 Β· Declared Dead Β· π International Workshop/Symposium on Logic-based Program Synthesis and Transformation
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Authors
Mauricio Ayala-RincΓ³n, Washington de Carvalho-Segundo, Maribel FernΓ‘ndez, Daniele Nantes-Sobrinho
arXiv ID
1709.05384
Category
cs.PL: Programming Languages
Cross-listed
cs.LO
Citations
18
Venue
International Workshop/Symposium on Logic-based Program Synthesis and Transformation
Last Checked
3 months ago
Abstract
Nominal unification is an extension of first-order unification that takes into account the Ξ±-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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