A herbrandized functional interpretation of classical first-order logic

We introduce a new typed combinatory calculus with a type constructor that, to each type σ, associates the star type σ^∗ of the nonempty finite subsets of elements of type σ. We prove that this calculus enjoys the properties of strong normalization and confluence. With the aid of this star combinato...

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Bibliographic Details
Main Author: Ferreira, Fernando (author)
Other Authors: Ferreira, Gilda (author)
Format: article
Language:eng
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10400.2/7089
Country:Portugal
Oai:oai:repositorioaberto.uab.pt:10400.2/7089