New Developments in Proofs and Computations
نویسنده
چکیده
It is a tempting idea to use formal existence proofs as a means to precisely and verifiably express algorithmic ideas. This is clearly possible for “constructive” proofs, which are informally understood via the BrouwerHeyting-Kolmogorov interpretation (BHK-interpretation for short). This interpretation of intuitionistic (and minimal) logic explains what it means to prove a logically compound statement in terms of what it means to prove its components; the explanations use the notions of construction and constructive proof as unexplained primitive notions. For prime formulas the notion of proof is supposed to be given. The clauses of the BHK-interpretation are:
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