Boolean Algebras in Visser Algebras

We generalize the double negation construction of Boolean algebras in Heyting algebras, to a double negation construction of the same in Visser algebras (also known as basic algebras). This result allows us to generalize Glivenko’s Theorem from intuitionistic propositional logic and Heyting algebras to Visser’s basic propositional logic and Visser algebras. Mathematics Subject Classification: Primary: 03G05, 03G25, 06D20, secondary: 03B20.

• Type: Journal
• Year: 2016
• Where: NDJFL
• Authors: Majid Alizadeh, Mohammad Ardeshir, Wim Ruitenburg
• Keywords: Computer Networks, NDJFL 2016