LIPIcs.TLCA.2015.257.pdf
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Termination of Dependently Typed Rewrite Rules
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13th International Conference on Typed Lambda Calculi and Applications (TLCA 2015)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: International Conference on Typed Lambda Calculi and Applications (TLCA) - License:
Creative Commons Attribution 3.0 Unported license
- Publication Date: 2015-06-15
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Jean-Pierre Jouannaud and Jianqi Li. Termination of Dependently Typed Rewrite Rules. In 13th International Conference on Typed Lambda Calculi and Applications (TLCA 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 38, pp. 257-272, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
https://doi.org/10.4230/LIPIcs.TLCA.2015.257
https://doi.org/10.4230/LIPIcs.TLCA.2015.257
Abstract
Our interest is in automated termination proofs of higher-order rewrite rules in presence of dependent types modulo a theory T on base types. We first describe an original transformation to a type discipline without type dependencies which preserves non-termination. Since the user must reason on expressions of the transformed language, we then introduce an extension of the computability path ordering CPO for comparing dependently typed expressions named DCPO. Using the previous result, we show that DCPO is a well-founded order, behaving well in practice.
Keywords
- rewriting
- dependent types
- strong normalization
- path orderings
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