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Semi-intuitionistic Logic

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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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References

  1. Abad, M., J. M. Cornejo, and J.P. Díaz Varela, ‘The Variety Generated by Semi- Heyting Chains’, to appear in Soft Computing.

  2. Hájek, P., Metamathematics of Fuzzy Logic, Trends in Logic, Studia Logica Library, Dordrecht, Boston, London, Vol. 4, 1998.

  3. Rasiowa, H., and R. Sikorski, The Mathematics of Metamathematics, Polska Akademia Nauk, Monografie Matematyczne, Tom 41, Warszawa, 1963.

  4. 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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Correspondence to Juan Manuel Cornejo.

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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

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