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Sequent calculus for intuitionistic epistemic logic IEL. (English) Zbl 06751239
Artemov, Sergei (ed.) et al., Logical foundations of computer science. International symposium, LFCS 2016, Deerfield Beach, FL, USA, January 4–7, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9537, 187-201 (2016).
Summary: The formal system of intuitionistic epistemic logic IEL was proposed by S. Artemov and T. Protopopescu. It provides the formal foundation for the study of knowledge from an intuitionistic point of view based on Brouwer-Hayting-Kolmogorov semantics of intuitionism. We construct a cut-free sequent calculus for IEL and establish that polynomial space is sufficient for the proof search in it. We prove that IEL is PSPACE-complete.
For the entire collection see [Zbl 1364.03006].

MSC:
03B70 Logic in computer science
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