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Under consideration for publication in J. Functional Programming 1 FUNCTIONAL PEARLS α-conversion is easy (2009)

Abstract
We present a new and simple account of α-conversion suitable for formal reasoning. Our main tool is to define α-conversion as a a structural congruence parametrized by a partial bijection on free variables. We show a number of basic properties of substitution. e.g. that substitution is monadic which entails all the usual substitution laws. Finally, we relate α-equivalence classes to de Bruijn terms. 1

Publication details
Download http://citeseerx.ist.psu.edu/viewdoc/summary?doi=?doi=10.1.1.134.3300
Source http://www.cs.nott.ac.uk/~txa/publ/alpha-draft.pdf
Contributors CiteSeerX
Repository CiteSeerX - Scientific Literature Digital Library and Search Engine (United States)
Type text
Language English
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