# Modality Definition Synthesis for Epistemic Intuitionistic Logic via a Theorem Prover

@article{Tarau2019ModalityDS, title={Modality Definition Synthesis for Epistemic Intuitionistic Logic via a Theorem Prover}, author={Paul Tarau}, journal={ArXiv}, year={2019}, volume={abs/1907.11838} }

We derive a Prolog theorem prover for an Intuitionistic Epistemic Logic by starting from the sequent calculus {\bf G4IP} that we extend with operator definitions providing an embedding in intuitionistic propositional logic ({\bf IPC}). With help of a candidate definition formula generator, we discover epistemic operators for which axioms and theorems of Artemov and Protopopescu's {\em Intuitionistic Epistemic Logic} ({\bf IEL}) hold and formulas expected to be non-theorems fail. We compare the… CONTINUE READING

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