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Dec 26, 2011 at 15:32 comment added Buschi Sergio Thank you very much Zhen Lin. For " propositional logic" I was mean tha classical one (the Lindembaum algebra is the free boolean algebra on the primitive (atomic) proposition), and as the above $(1), (2), (3)$ as axioms . Now I realize that axiom $(3)$ isnt derivable from the Johnstone genaral categorical logic, because is about tha particular boolean context. Can you hint me some books about "general propositional logic"?
Dec 26, 2011 at 13:50 history answered Zhen Lin CC BY-SA 3.0