Troelstra

The name “BHK-Interpretation” was coined by Troelstra

The Development of Intuitionistic Logic van Atten, Mark 2009

“Kolmogorov”, e.g., in Troelstra 1990 (p. 6); in a future update of this entry, it will be explained that this replacement is, in keeping with Sundholm's point, a correction.

The Development of Intuitionistic Logic van Atten, Mark 2009

Troelstra mentions Ketonen's work as “an early analysis of cutfree proofs in Gentzen calculi with axioms; but he considers the form of cutfree derivations in the pure calculus where axioms are present in the antecedent of the sequents derived” (Troelstra and Schwichtenberg 2000, p. 142).

Chores 2009

Constructivism in mathematics (Troelstra and van Dalen 1988, 9):

The Development of Intuitionistic Logic van Atten, Mark 2009

The standard explanation of intuitionistic logic today is the BHK-Interpretation (for “Brouwer, Heyting, Kolmogorov”) or Proof Interpretation as given by Troelstra and Van Dalen in

The Development of Intuitionistic Logic van Atten, Mark 2009

Troelstra's [1973], Beeson's [1985] and Troelstra and van Dalen's

Intuitionistic Logic Moschovakis, Joan 2007

Accordingly the reader is referred to the large literature on the subject, e.g., the abovementioned Troelstra 1986, Tait 1967,

Kurt Gödel Kennedy, Juliette 2007

(For a treatment of the proof in detail, the reader is referred to Troelstra 1986.)

Kurt Gödel Kennedy, Juliette 2007

IL0 the class of IL-algebras with zero defined in (Troelstra, 1992).

Propositional Consequence Relations and Algebraic Logic Jansana, Ramon 2006

Brouwer's principal students were Maurits Belinfante and Arend Heyting; the latter, in turn, was the teacher of Anne Troelstra and Dirk van Dalen.

Luitzen Egbertus Jan Brouwer van Atten, Mark 2005