Hybrid Functional Interpretations
We show how different functional interpretations can be combined via a multi-modal linear logic. A concrete hybrid of Kreisel’s modified realizability and Gödel’s Dialectica is presented, and several small applications are given. We also discuss how the hybrid interpretation relates to variants of Dialectica and modified realizability with non-computational quantifiers.
KeywordsFunctional interpretations modified realizability Dialectica interpretation linear logic program extraction from proofs uniform quantifiers
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