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Higher-Order Illative Combinatory Logic

Published online by Cambridge University Press:  12 March 2014

Łukasz Czajka
Łukasz Czajka*
Affiliation:
Institute of Informatics, University of Warsaw, UL. Banacha 2, 02-097 Warszawa, Poland, E-mail: lukaszcz@mimuw.edu.pl
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Abstract

We show a model construction for a system of higher-order illative combinatory logic thus establishing its strong consistency. We also use a variant of this construction to provide a complete embedding of first-order intuitionistic predicate logic with second-order propositional quantifiers into the system of Barendregt, Bunder and Dekkers, which gives a partial answer to a question posed by these authors.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 78 , Issue 3 , September 2013 , pp. 837 - 872
Copyright
Copyright © Association for Symbolic Logic 2013

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References

REFERENCES

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