Checking Overlaps of Nominal Rewriting Rules

Mauricio Ayala-Rincón, Maribel Fernández, Jamie Gabbay, Ana Cristina Rocha-Oliveira

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
143 Downloads (Pure)


Nominal rewriting generalises first-order rewriting by providing support for the specification of binding operators. In this paper, we give sufficient conditions for (local) confluence of closed nominal rewriting theories, based on the analysis of rule overlaps. More precisely, we show that closed nominal rewriting rules where all proper critical pairs are joinable are locally confluent. We also show how to refine the notion of rule overlap to derive confluence of the closed rewriting relation. The conditions that we define are easy to check using a nominal unification algorithm.
Original languageEnglish
Pages (from-to)39-56
Number of pages18
JournalElectronic Notes in Theoretical Computer Science
Publication statusPublished - 11 Jul 2016


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