A note on arithmetic in finite types
arXiv:1408.3557
Abstract
We present a version of arithmetic in all finite types which allows for a definition of equality at higher types for which all congruence are derivable, for which the soundness of the Dialectica interpretation is provable inside the system itself, which allows for both intensional and extensional models and for which the deduction theorem holds.
arXiv commentMade some minor edits