@MISC{Joachimski01confluenceof, author = {Felix Joachimski}, title = {Confluence of the Coinductive Lambda-Calculus}, year = {2001} }
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Abstract
The coinductive -calculus co arises by a coinductive interpretation of the grammar of the standard -calculus and contains non-wellfounded -terms. An appropriate notion of reduction is analyzed and proven to be conuent by means of a detailed analysis of the usual Tait/MartinL of style development argument. This yields bounds for the lengths of those joining reduction sequences that are guaranteed to exist by conuence. These bounds also apply to the wellfounded -calculus.