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The Virtues of Eta-Expansion
Abstract
Interpreting eta-conversion as an expansion rule in the simply-typed
lambda-calculus maintains the confluence of reduction in a richer type
structure. This use of expansions is supported by categorical models
of reduction, where beta-contraction, as the local counit, and
eta-expansion, as the local unit, are linked by local triangle
laws. The latter form reduction loops, but strong normalisation (to
the long beta/eta-normal forms) can be recovered by ``cutting'' the
loops.
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