Brouwer–Heyting logic

Target entity: Brouwer–Heyting logic
Context triple: [intuitionism, relatedTo, Brouwer–Heyting logic]

• A. Brouwer–Heyting–Kolmogorov interpretation
  The Brouwer–Heyting–Kolmogorov interpretation is a foundational explanation of intuitionistic logic that interprets logical connectives and proofs in terms of explicit constructions and algorithms rather than classical truth values.
• B. Heyting arithmetic
  Heyting arithmetic is a formal system of arithmetic based on intuitionistic logic, serving as the constructive counterpart to classical Peano arithmetic.
• C. Curry–Howard correspondence
  The Curry–Howard correspondence is a foundational principle in logic and computer science that establishes a deep analogy between proofs and programs, and between logical propositions and types in programming languages.
• D. Heyting algebra
  A Heyting algebra is a type of bounded lattice that models intuitionistic logic by providing an implication operation without requiring the law of excluded middle.
• E. Heyting implication
  Heyting implication is the intuitionistic logic counterpart of classical material implication, defined within Heyting algebras to capture constructive reasoning about "if–then" statements.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Brouwer–Heyting logic
Target entity description: Brouwer–Heyting logic is the standard formal system of intuitionistic logic, capturing constructive reasoning by rejecting the law of excluded middle and other non-constructive classical principles.

• A. Brouwer–Heyting–Kolmogorov interpretation
  The Brouwer–Heyting–Kolmogorov interpretation is a foundational explanation of intuitionistic logic that interprets logical connectives and proofs in terms of explicit constructions and algorithms rather than classical truth values.
• B. Heyting arithmetic
  Heyting arithmetic is a formal system of arithmetic based on intuitionistic logic, serving as the constructive counterpart to classical Peano arithmetic.
• C. Curry–Howard correspondence
  The Curry–Howard correspondence is a foundational principle in logic and computer science that establishes a deep analogy between proofs and programs, and between logical propositions and types in programming languages.
• D. Heyting algebra
  A Heyting algebra is a type of bounded lattice that models intuitionistic logic by providing an implication operation without requiring the law of excluded middle.
• E. Heyting implication
  Heyting implication is the intuitionistic logic counterpart of classical material implication, defined within Heyting algebras to capture constructive reasoning about "if–then" statements.
• F. None of above. chosen