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  "body": "\n## Summary\n\nThe Brouwer–Heyting–Kolmogorov interpretation, or BHK interpretation, explains the meaning of the logical connectives in [[intuitionistic logic|Q11N8X99FK]].\nIt says what counts as a proof of a compound statement in terms of proofs of its parts.\nIt is an informal explanation, not a formal semantics, and it expresses the view of [[constructivism|G958EQ8CWW]].\nRealizability and the Curry–Howard correspondence are precise versions of it.\n\n## Explanations\n\n### L1 human\n\nIn classical logic, a statement is true or false, and the connectives act on truth values.\nIn the BHK interpretation, one asks instead what a proof of the statement is.\nA proof of \"$A$ and $B$\" is a pair of proofs, one for each.\nA proof of \"if $A$ then $B$\" is a method that turns each proof of $A$ into a proof of $B$.\nSo a proof of \"$A$ or not $A$\" would have to decide which one holds, and in general no such method is known.\n",
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