Modal Functional (Dialectica) Interpretation

We adapt our light Dialectica interpretation to usual and light modal formulas (with universal quantification on boolean and natural variables) and prove it sound for a non-standard modal arithmetic based on Goedel's T and classical S4. The range of this light modal Dialectica is the usual (non...

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Bibliographic Details
Main Authors: Dan Hernest, Trifon Trifonov
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2021-10-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/7132/pdf