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

Authors

  • V. M. Popov the Russian Academy of Sciences, Moscow

DOI:

https://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.

Author Biography

V. M. Popov, the Russian Academy of Sciences, Moscow

Institute of Philosophy

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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Published

2004-01-07

How to Cite

1.
POPOV, V. M. On the logics related to A. Arruda’s system V1. Logic and Logical Philosophy. Online. 7 January 2004. Vol. 7, no. 7, pp. 87-90. [Accessed 1 July 2025]. DOI 10.12775/LLP.1999.007.

Issue

No. 7 (1999)

Section

Articles

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