[Agda] Error defining Universe Polymorphism
Ashish Mishra
ashish123.mishragkp at gmail.com
Fri Oct 9 08:48:41 CEST 2015
Hi All,
I am new to Agda and am giving some tries to various available tutorials
for Agda. I am facing a pertinent issue while defining new LEVELS of
Universes using the BUILTIN pragmas of Agda .
To illustrate -The following code from the library by Ulf Norell for the
OPLSS -
*{-# OPTIONS --universe-polymorphism #-}*
*module Lib.Level where*
*module LEVEL where*
* data Level : Set where*
* Z : Level*
* S : Level -> Level*
* max : Level -> Level -> Level*
* max Z m = m*
* max (S n) Z = S n*
* max (S n) (S m) = S (max n m)*
* {-# BUILTIN LEVEL Level #-}*
* {-# BUILTIN LEVELZERO Z #-}*
* {-# BUILTIN LEVELSUC S #-}*
* {-# BUILTIN LEVELMAX max #-}*
* record Lift {a b} (A : Set a) : Set (max a b) where*
* constructor lift*
* field lower : A*
* open Lift public*
*open LEVEL public *
* using (Z ; S ; lift ; lower ; Level) *
Throws errors -
1) The argument to BUILTIN LEVEL must be a postulated name
when checking the pragma BUILTIN LEVEL Level
2)Builtin LEVELZERO must be bound to a function
when checking the pragma BUILTIN LEVELZERO Z
Can some body explain me the issue here ... I have tried commenting the
pragmas but in some cases ( different example from the "Brutal agda" ) the
error vanishes and the universes work fine ... Sorry but not sure whats
happening here.
Thanks
--
Regards,
Ashish Mishra
Graduate Student,
Computer Science and Automation Department,IISc
Cell : +91-9611194714
Mailto : ashishmishra at csa.iisc.ernet.in
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