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In Model Theory a theory defined syntactically (possibly by some grammar) has models (usually in the category of Sets); what theory (call it the boolean theory - for obvious reasons) has its models exactly the boolean algebras?

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You can find several equivalent sets of axioms here.

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  • A one axiom basis - that's surprising. And the examples aren't contrivances of multi-basis formulations - at least they don't appear to be. – Nick Sep 22 '14 at 1:31

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