# Confluence and Normalization in Reduction Systems Lecture Notes

@inproceedings{Smolka2015ConfluenceAN, title={Confluence and Normalization in Reduction Systems Lecture Notes}, author={Gert Smolka}, year={2015} }

We study confluence and normalization in abstract reduction systems and apply the results to combinatory logic and an abstract version of the lambda beta calculus. For both systems we obtain the Church-Rosser property and a complete normalization strategy. For an abstract weak call-by-value lambda calculus we obtain uniform confluence, which ensures that for a given term all maximal reduction chains have the same length. The development is based on constructive type theory with inductive…

## 8 Citations

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