Corpus ID: 198968232

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}
}
  • Paul Tarau
  • Published in ArXiv 2019
  • Mathematics, Computer Science
  • 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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