Higher-order illative combinatory logic

Details Higher-order illative combinatory logic Higher-order illative combinatory logic

2012-02-16

arxiv.org/abs/1202.3672v1

Mathematics

Logic

Scientific paper

We show a model construction for a system of higher-order illative combinatory logic I_\omega, 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 I_0 of Barendregt, Bunder and Dekkers, which gives a partial answer to a question posed by these authors.

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