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This is a "best guess" listing for the word "ctaipe" in language English, meaning that only one of the definitions for this word will be shown (the one with the highest total votes). See all the definitions for ctaipe.

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valsi ctaipe
type fu'ivla
creator krtisfranks
time entered Sat Jun 14 08:31:40 2014

Definition #67782 - Preferred [edit]
definition x1 is a value / proof of type / proposition x2 under context x3 in (type / logical) system x4.
notes Types and propositions are considered equivalent due to the Curry-Howard correspondence. Compare to mathematical notation: " x3 $\vdash$ x1 : x2", with x4 implied by context. In proof-irrelevant work (e.g, classical logic), this is usually written " x3 $\vdash$ x2". x1 is most likely to be filled by a li construct, or something that potentially reduces to a mathematical expression. Quoted arguments should be dereferenced with la'e or similar. x1 can be filled by zi'o, which means that the proposition is unprovable. x2 can be filled by a set of which the x1 value is a member. It may be convenient to interpret lo'i as the gadri for types. x3 will be a conjunction of du'u sumti, each possibly containing a bridi based on ctaipe. x4 need not be consistent. For example, almost every programming language has an inconsistent type system (by virtue of being Turing-equivalent).
jargon type type theory (computer science) & proof theory (mathematics/philosophy)
gloss words
place keywords 1. value/proof
2. type/proposition
3. context ; type theory/proof theory
4. type system/logic
created by mudri
vote information 2
time Sun Sep 6 19:01:57 2015


Example #1:

li no ctaipe lo'i kacna'u

(by mudri) [edit]

Example #2:

li bai'ei xy. ctaipe lo'i kacna'u lo du'u li xy. ctaipe lo'i kacna'u

(by mudri) [edit]

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