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Results tagged with intuitionism
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user 30790
3
votes
Is there a completeness proof of intuitionistic predicate calculus using Heyting algebra sem...
It's going to depend on exactly what you mean by Heyting algebra semantics, but there is a proof in Troelstra and Van Dalen, Constructivism in Mathematics, Vol 2, for what they call $\Theta$-models, w …
- 4,378
3
votes
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Subset Collection axiom
Subset collection is typically used as a stronger version of exponentiation, rather than a weaker version of power set, so that is why fullness is usually the best way of understanding it.
If you want …
- 4,378
9
votes
Is there a semantics for intuitionistic logic that is meta-theoretically "self-hosting"?
See Palmgren, Constructive Sheaf Semantics for a completeness proof for sheaf semantics within a constructive (and predicative) metatheory. The introduction also mentions several references to earlier …
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