[Agda] universum levels
Sergei Meshveliani
mechvel at botik.ru
Mon Jun 23 11:02:37 CEST 2014
People,
I am writing a manual on a program written in Agda, and wonder:
what brief explanation words to set about an universum level
(l : Level) ?
I know only that
(1) each type belongs to some universums,
(2) each universum has its level l : Level,
(3) Level has the operations suc, _⊔_,
(4) Agda can show some level expression for each given type.
Is it true that for each type Agda finds a minimal universum level ?
Is it true that each level universum is
U(l) = all types of level <= l
?
It is true that
All types = U(0) union U(suc 0) union U(suc $ suc 0) ...
?
Approximately and briefly, what notion does Level express?
Is it related to the relative algorithmic decidability or
enumerability?
Thanks,
------
Sergei
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