• Corpus ID: 232135223

Linear Depth Deduction with Subformula Property for Intuitionistic Epistemic Logic

@inproceedings{Fiorino2021LinearDD,
  title={Linear Depth Deduction with Subformula Property for Intuitionistic Epistemic Logic},
  author={Guido Fiorino},
  year={2021}
}
In their seminal paper Artemov and Protopopescu provide Hilbert formal systems, Brower-Heyting-Kolmogorov and Kripke semantics for the logics of intuitionistic belief and knowledge. Subsequently Krupski has proved that the logic of intuitionistic knowledge is PSPACE-complete and Su and Sano have provided calculi enjoying the subformula property. This paper continues the investigations around to sequent calculi for Intuitionistic Epistemic Logics by providing sequent calculi that have the… 

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Constructive and Mechanised Meta-Theory of Intuitionistic Epistemic Logic
TLDR
A constructive and mechanised completeness proof for IEL is presented, employing a syntactic decidability proof based on cut-elimination to constructivise the ideas from the literature and expect that it will extend to other modal logics.

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