intuitionistic การใช้

• The situation, however, is more complicated in intuitionistic logic.
• Intuitionistic modal logic treats possibility and necessity as not perfectly symmetric.
• They are also related to Heyting algebra semantics in intuitionistic logic.
• So the intuitionistic " or " is true in fewer cases.
• In intuitionistic type theory, new terms of equality start with reflexivity.
• The axiom of separation is included in intuitionistic set theory.
• Several systems of semantics for intuitionistic logic have been studied.
• He wrote that the intuitionistic natural deduction system NJ was somewhat ugly.
• The law does not hold in general in intuitionistic logic.
• The Curry Howard isomorphism associates a term in the intuitionistic propositional logic.
• Arend Heyting introduced Heyting algebra ( 1930 ) to formalize intuitionistic logic.
• Algebraically, classical negation corresponds to semantics for classical and intuitionistic logic respectively.
• Many tautologies of classical logic can no longer be proved within intuitionistic logic.
• Intuitionistic truth therefore remains somewhat ill-defined.
• In intuitionistic type theory, the equality type is known as I for identity.
• They are used to define models for the multiplicative fragment of intuitionistic linear logic.
• A prototypical example is intuitionistic type theory, which retains ramification but discards impredicativity.
• He has also written extensively on intuitionistic logic and other non-classical logics.
• The possibility of this construction relies on the intuitionistic interpretation of the existential quantifier.
• Note that need not imply its negative translation in intuitionistic first-order logic.