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Second-order propositional logic : ウィキペディア英語版 | Second-order propositional logic A second-order propositional logic is a propositional logic extended with quantification over propositions. A special case are the logics that allow second-order Boolean propositions, where quantifiers may range either just over the Boolean truth values, or over the Boolean-valued truth functions. The most widely known formalism is the intuitionistic logic with impredicative quantification, system F. Parigot (1997) showed how this calculus can be extended to admit classical logic. ==See also==
*Boolean satisfiability problem *Second-order arithmetic *Second-order logic *Type theory
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