Abstract
The purpose of this paper is to define a new logic \({\mathcal {SI}}\) called semi-intuitionistic logic such that the semi-Heyting algebras introduced in [4] by Sankappanavar are the semantics for \({\mathcal {SI}}\) . Besides, the intuitionistic logic will be an axiomatic extension of \({\mathcal {SI}}\) .
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Sankappanavar, H.P., ‘Semi-Heyting Algebras: An Abstraction From Heyting Algebras’, Actas del IX Congreso Dr. Antonio A. R. Monteiro, 33–66, 2007.
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Cornejo, J.M. Semi-intuitionistic Logic. Stud Logica 98, 9–25 (2011). https://doi.org/10.1007/s11225-011-9321-7
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DOI: https://doi.org/10.1007/s11225-011-9321-7