### Some articles on *intuitionistic*:

Realizability

... be seen as a formalization of the BHK interpretation of

... be seen as a formalization of the BHK interpretation of

**intuitionistic**logic in realizability the notion of "proof" (which is left undefined in the BHK interpretation) is ... Beyond giving insight into**intuitionistic**provability, realizability can be applied to prove the disjunction and existence properties for**intuitionistic**theories and to ...General Frame -

... The frame semantics for

**Intuitionistic**Frames... The frame semantics for

**intuitionistic**and intermediate logics can be developed in parallel to the semantics for modal logics ... An**intuitionistic**general frame is a triple, where is a partial order on F, and V is a set of upper subsets (cones) of F which contains the empty set, and is ... In particular, an**intuitionistic**frame is called tight, if implies , compact, if every subset of with the finite intersection property has a non-empty intersection ...Variants of Linear Logic

... Different

... Different

**intuitionistic**variants of linear logic have been considered ... When based on a single-conclusion sequent calculus presentation, like in ILL (**Intuitionistic**Linear Logic), the connectives ⅋, ⊥, and ? are absent, and linear implication is treated as a ... In FILL (Full**Intuitionistic**Linear Logic) the connectives ⅋, ⊥, and ? are present, linear implication is a primitive connective and, similarly to ...Arend Heyting

... of Luitzen Egbertus Jan Brouwer at the University of Amsterdam, and did much to put

... of Luitzen Egbertus Jan Brouwer at the University of Amsterdam, and did much to put

**intuitionistic**logic on a footing where it could become part of mathematical logic ... Heyting gave the first formal development of**intuitionistic**logic in order to codify Brouwer's way of doing mathematics ... opposed in principle to the formalisation of certain**intuitionistic**principles (and went as far as calling Heyting's work a "sterile exercise") ...Encoding Classical/

... Both

**intuitionistic**Logic in Linear Logic... Both

**intuitionistic**and classical implication can be recovered from linear implication by inserting exponentials**intuitionistic**implication is encoded as !A ⊸ B, and classical implication as !A ⊸ ?B ... many times as we need, which is always possible in classical and**intuitionistic**logic ... Formally, there exists a translation of formulae of**intuitionistic**logic to formulae of linear logic in a way which guarantees that the original formula ...Related Subjects

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