Brouwer–Heyting–Kolmogorov interpretation
GPTKB entity
Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:philosophy
mathematical logic concept |
| gptkbp:alsoKnownAs |
BHK interpretation
|
| gptkbp:basisFor |
gptkb:constructivism_in_mathematics
proof theory |
| gptkbp:describes |
meaning of logical connectives in intuitionistic logic
|
| gptkbp:explains |
constructive proofs
intuitionistic truth |
| gptkbp:field |
gptkb:logic
intuitionistic logic |
| https://www.w3.org/2000/01/rdf-schema#label |
Brouwer–Heyting–Kolmogorov interpretation
|
| gptkbp:influenced |
gptkb:logic
gptkb:Curry–Howard_correspondence |
| gptkbp:introducedIn |
1920s
|
| gptkbp:namedAfter |
gptkb:Andrey_Kolmogorov
gptkb:Arend_Heyting gptkb:L._E._J._Brouwer |
| gptkbp:proposedBy |
proofs are constructions
propositions are identified with problems logical connectives correspond to operations on constructions |
| gptkbp:relatedTo |
gptkb:Heyting_algebra
gptkb:Kolmogorov's_interpretation_of_logic intuitionism |
| gptkbp:bfsParent |
gptkb:Curry–Howard_correspondence
|
| gptkbp:bfsLayer |
5
|