✦ LIBER ✦

Realization of constructive set theory into explicit mathematics: a lower bound for impredicative Mahlo universe

✍ Scribed by Sergei Tupailo

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 302 KB
Volume: 120
Category: Article
ISSN: 0168-0072
DOI: 10.1016/s0168-0072(02)00065-9

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✦ Synopsis

We deÿne a realizability interpretation of Aczel's Constructive Set Theory CZF into Explicit Mathematics. The ÿnal results are that CZF extended by Mahlo principles is realizable in corresponding extensions of T0, thus providing relative lower bounds for the proof-theoretic strength of the latter.