Distributivity in Symmetric Constructive Full Lambek Calculus

Authors

  • Michał Kozak Polish Academy of Sciences

Abstract

N/A

Author Biography

Michał Kozak, Polish Academy of Sciences

Poznan Supercomputing and Networking Center

References

Dunn, J.M., A Gentzen System for Positive Relevant Implication. Journal of Symbolic Logic 38, 356-357 (1973). Abstract.

Galatos, N., Kowalski, T., Jipsen, P., Ono, H.: Residuated Lattices: An Algebraic Glimpse at Substructural Logics. Elsevier (2007)

Kozak, M.: Cyclic Involutive Distributive Full Lambek Calculus Is Decidable. Journal of Logic and Computation 21, 231-252 (2011)

Kozak, M.: Strong Negation in Intuitionistic Style Sequent Systems for Residuated Lattices. Manuscript (2012)

Mints, G.: Cut Elimination Theorem for Relevant Logics. Journal of Mathematical Sciences 6, 422-428 (1976). Translated from Issledovanija po konstructivnoj mathematike I matematiceskoj logike V, Izdatelstvo Nauka, 1972.

Rasiowa, H.: N-Lattices and Constructive Logic with Strong Negation. Fundamenta Mathematicae 46, 61-80 (1958)

Spinks, M., Veroff, R.: Constructive Logic with Strong Negation Is a Substructural Logic. I. Studia Logica 88, 325-348 (2008)

Spinks, M., Veroff, R.: Constructive Logic with Strong Negation Is a Substructural Logic. II. Studia Logica 89, 401-425 (2008)

Zaslavsky, I.D.: Symmetric Constructive Logic (in Russian). Publishing House of Academy of Sciences of Armenia SSR (1978)

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Published

2021-12-10

How to Cite

Kozak, M. (2021). Distributivity in Symmetric Constructive Full Lambek Calculus. Mathematical Problems of Computer Science, 38, 68–69. Retrieved from http://mpcs.sci.am/index.php/mpcs/article/view/543