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2023/6/30: SMCGlobal, SMCLocal and extract #110

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2023/6/30: SMCGlobal, SMCLocal and extract #110

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@snowmantw snowmantw commented Jun 29, 2023 •
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Goal: define SMCGlobal, SMCLocal and SMCLang.

@snowmantw
2023/6/29: WIP: monad_model.v:2031
bc24442 
shows the difficulties to have monads in one monad? Because of the universe inconsistency issue
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Check StateMonad.acto (VarName -> MonadSMCLocals F P VarName).

In environment
F, P : UU0
VarName : eqType
The term "VarName -> MonadSMCLocals F P VarName" has type
 "Type@{max(Equality.type.u0,MonadSMCLocals.u0)}"
while it is expected to have type "Type@{monad_model.4448}"
(universe inconsistency: Cannot enforce MonadSMCLocals.u0 <=
monad_model.4448 because monad_model.4448 < isFunctor.axioms_.u0
<= MonadSMCLocal.axioms_.u3 <= MonadSMCLocal.type.u0 <= MonadSMCLocals.u0).

@snowmantw
2023/6/29: WIP: change Global from monad of monads to monad of data i…
8d61782 
…nstances

But how to define the `extract` method for the local monad becomes a modeling problem.
See monad_model.v:2009.
@snowmantw snowmantw changed the title 2023/6/29: WIP: monad_model.v:2031 2023/6/30: SMCGlobal, SMCLocal and extract Jun 29, 2023
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