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The vagueness of the intuitionistic notion of truth often leads to misinterpretations about its meaning. Kleene formally defined
Kaynak: Intuitionism

Linear logic is a substructural logic proposed by Jean-Yves Girard as a refinement of classical and intuitionistic logic , joining the
Kaynak: Linear logic

Accordingly, the dual notion to paraconsistency is called paracompleteness , and the "dual" of intuitionistic logic (a specific
Kaynak: Paraconsistent logic

Heyting arithmetic adopts the axioms of Peano arithmetic (PA), but uses intuitionistic logic as its rules of inference. In particular,
Kaynak: Heyting arithmetic

Intuitionistic Zermelo–Fraenkel: In 1973, John Myhill proposed a system of set theory based on intuitionistic logic taking the most common
Kaynak: Constructive set theory

Kleene's work with the proof theory of intuitionistic logic showed that constructive information can be recovered from intuitionistic
Kaynak: Mathematical logic

Characterization using the axioms of intuitionistic logic: This characterization of Heyting algebras makes the proof of the basic facts
Kaynak: Heyting algebra

In mathematical logic , a superintuitionistic logic is a propositional logic extending intuitionistic logic . Classical logic is the
Kaynak: Intermediate logic

In mathematical logic , the Brouwer–Heyting–Kolmogorov interpretation, or BHK interpretation, of intuitionistic logic was proposed by L. E
Kaynak: Brouwer–Heyting–Kolmogorov interpretation

In intuitionistic mathematics , a choice sequence is a constructive formulation of a sequence . Since the Intuitionistic school of
Kaynak: Choice sequence

He was a student of Luitzen Egbertus Jan Brouwer at the University of Amsterdam , and did much to put intuitionistic logic on a footing
Kaynak: Arend Heyting

It was first made for modal logic s, and later adapted to intuitionistic logic and other non-classical systems. The discovery of Kripke
Kaynak: Kripke semantics

theories that can serve as mathematical foundations are Alonzo Church 's typed λ-calculi and Per Martin-Löf 's intuitionistic type theory .
Kaynak: Type theory

In proof theory , the Dialectica interpretation is a proof interpretation of intuitionistic arithmetic (Heyting arithmetic ) into a finite
Kaynak: Dialectica interpretation

In mathematical logic , the Friedman translation is a certain transformation of intuitionistic formula s. theorems of intuitionistic mathematics.
Kaynak: Friedman translation

It is a variant of intuitionistic logic that rejects not only the classical law of excluded middle (as intuitionistic logic does), but
Kaynak: Minimal logic

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