Kripke Models for Classical Logic
Danko Ilik (PPS, INRIA Paris - Rocquencourt, LIX), Gyesik Lee, (ROSAEC), Hugo Herbelin (PPS, INRIA Paris - Rocquencourt)
TL;DR
This paper introduces a new Kripke model framework for classical logic, providing constructive proofs of soundness and completeness, and exploring its potential applications.
Contribution
It presents a novel Kripke model for classical logic with constructive soundness and completeness proofs, expanding the tools for logical semantics.
Findings
Constructive proof of soundness
Cut-free completeness established
Potential applications discussed
Abstract
We introduce a notion of Kripke model for classical logic for which we constructively prove soundness and cut-free completeness. We discuss the novelty of the notion and its potential applications.
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