2006•Yunnan Nongye Daxue xuebaoRequires access

Heyting Algebra and Associated BCK Algebra

LI Xing-kuan, Ma Rui, Shilian Chen

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Abstract

Heyting algebra is introduced as the algebraic model of instuition proposition logic,but BCK algebra was put forward by Japanese mathematician in 1966.In this paper,relations between Heyting algebra and BCK agebra are discussed,and also the sufficient condition and the necessary condition to the forming of Heyting agebra is given out.

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Heyting algebra is introduced as the algebraic model of instuition proposition logic,but BCK algebra was put forward by Japanese mathematician in 1966.In this paper,relations between Heyting algebra and BCK agebra are discussed,and also the sufficient condition and the necessary condition to the forming of Heyting agebra is given out.

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Available abstract

Heyting algebra is introduced as the algebraic model of instuition proposition logic,but BCK algebra was put forward by Japanese mathematician in 1966.In this paper,relations between Heyting algebra and BCK agebra are discussed,and also the sufficient condition and the necessary condition to the forming of Heyting agebra is given out.

Key concepts: Heyting algebra, Algebra over a field, Mathematics, Proposition, Algebraic structure, Intuitionistic logic, Pure mathematics, Discrete mathematics

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