Year: 2014
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Berg, Benno van den
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1763661946