A note on equality in finite-type arithmetic

作者:van den Berg Benno*
来源:Mathematical Logic Quarterly, 2017, 63(3-4): 282-288.
DOI:10.1002/malq.201600080

摘要

We present a version of arithmetic in all finite types based on a systematic use of an internally definable notion of observational equivalence for dealing with equalities at higher types. For this system both intensional and extensional models are possible, the deduction theorem holds and the soundness of the Dialectica interpretation is provable inside the system itself.

  • 出版日期2017-11

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