Mathematics – Logic
Scientific paper
2005-05-19
LMCS 1 (2:2) 2005
Mathematics
Logic
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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