Higher-Order and Symbolic Computation, 19(2/3)
Mechanising lambda-calculus using a Classical First Order Theory of
Terms with Permutations
Michael Norrish, Canberra Research Laboratory, National ICT
Australia, Australian National University, Acton, Australia
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Abstract: This paper describes the mechanisation
in HOL of some basic lambda-calculus theory. The proofs are taken
from standard sources (books by Hankin and Barendregt), and cover:
equational theory, reduction theory, residuals, finiteness of
developments, and the standardisation theorem. The issues in
mechanising pen-and-paper proofs are discussed; in particular, those
difficulties arising from the sources' use of the Barendregt Variable
Convention.
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