Studia Logica 98 (1-2):9-25 (2011)

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 $${\mathcal {SI}}$$
Keywords Intuitionistic logic  Heyting algebras  semi-Heyting algebras  semi-intuitionistic logic
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DOI 10.1007/s11225-011-9321-7
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The Semi Heyting–Brouwer Logic.Juan Manuel Cornejo - 2015 - Studia Logica 103 (4):853-875.

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