must valid every model case proof completeness one valid according intuitionistic logic relation logics intuitionistic logic related duality paraconsistent logic known ''brazilian'' ''anti intuitionistic'' ' 'dual intuitionistic logic'' subsystem intuitionistic logic false axiom removed known minimal logic relation many valued logic kurt g del 's work involving many valued logic showed intuitionistic logic finite valued logic see section titled heyting algebra semantics infinite valued logic interpretation
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