Internalising modified realisability in constructive type theory

Mathematics – Logic

Scientific paper

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7 pages

Scientific paper

10.2168/LMCS-1(2:2)2005

A modified realisability interpretation of infinitary logic is formalised and
proved sound in constructive type theory (CTT). The logic considered subsumes
first order logic. The interpretation makes it possible to extract programs
with simplified types and to incorporate and reason about them in CTT.

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