On the logics related to A. Arruda’s system V1

V. M. Popov

DOI: http://dx.doi.org/10.12775/LLP.1999.007

Abstract


Four logics I0, I1, I2, and I3 related to A. Arruda’s system V1 are considered. For each of them the semantics of descriptions of states in the style of E.K. Vojshvillo [2] is constructed, the question of characterizability by means of finite logical matrix is investigated and Gentzen-type sequent version is presented.

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References


Arruda, A.I., “On the imaginary logic of N.A. Vasiľev”, in Proceedings of Fourth Latin-American Symposium on Mathematical Logic, North-Holland, 1979.

Vojshvillo, E.K., Philosophical and Methodological Aspects of Relevant Logic, Moscow, 1988 (in Russian).

Gentzen, G., Investigations in Logical Deductions. Mathematical Theory of Logical Deduction, Moscow, 1967 (in Russian).








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