intuitionistic logic
Noun
Meaning
intuitionistic logic (plural intuitionistic logics)
(mathematics, logic) A type of logic which rejects the axiom law of excluded middle or, equivalently, the law of double negation and/or Peirce's law. It is the foundation of intuitionism.
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Intuitionistic logic was developed by Heyting to study Brouwer's program of intuitionism, in which Brouwer himself avoided formalization.
Intuitionistic logic Kripke semantics for the intuitionistic logic follows the same principles as the semantics of modal logic, but uses a different definition of satisfaction.
Intuitionistic logic is sound and complete with respect to its Kripke semantics, and it has the Finite Model Property.