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6
votes
intuitionistic interpretation of classical logic
There exists a translation, T, applicable to both propositions and proofs with the property that:
If $P$ is a classical proof of $\phi$ then $P^T$ is an intuitionistic proof of $\phi^T$.
(Trivially, …
8
votes
Intuitionistic logic as quantization of classical logic?
Looking at this from a computational perspective, a common structure here is the monad, or something like it.
In intuitionistic logic we can prove
$a\rightarrow\neg\neg a$ and
$\neg\neg(\neg\neg a)\ …