Kurt G#del. #ber eine bisher noch nicht benutze erweitrung des øniten standpunktes. Dialectica, 12, 1958.

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Martin-Löf's Type Theory - Nordström, Petersson, Smith   (Correct)

....as a framework in which other theories could be interpreted. And a normalization proof for type theory would then immediately give normalization for a theory expressed in type theory. In Martin L#f s rst formulation of type theory from 1971 [28] theories like rst order arithmetic, G#del s T [18], second order logic and simple type theory [5] could easily be interpreted. However, this formulation contained a reAEection principle expressed by a universe V and including the axiom V2V, which was shown by Girard to be inconsistent. Coquand and Huet s Calculus of Constructions [8] is closely ....

Kurt G#del. #ber eine bisher noch nicht benutze erweitrung des øniten standpunktes. Dialectica, 12, 1958.

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