ChrisJefferson
commented
9 months ago Hi, the code is correct (I believe, on phone so I am assuming we are quantifying over i).
An example of a monoid is integers (except zero) under multiplication, where 1 is the identity. Another common example is string concatenation, where the identity is empty string (just to hopefully give some understanding!)
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From: N-J-Martin @.> Sent: Friday, November 10, 2023 1:18:49 AM To: conjure-cp/conjure @.> Cc: Christopher Jefferson @.>; Mention @.> Subject: {Disarmed} [conjure-cp/conjure] Discrepency in monoids constraint on Semigroups, Monoids and Groups tutorial (Issue #607)
I have been updating the Semigroups, Monoids and Groups google notebook tutorial, herehttps://github.com/conjure-cp/conjure/blob/main/docs/tutorials/notebooks/Semigroups%2C_Monoids_and_Groups.ipynb, to use the latest conjure version (Version 9) as described by Issue #597https://github.com/conjure-cp/conjure/issues/597 . However I noticed that when describing monoids, it says there has to be some element of the semigroup, e, that acts as an identity such that for all integers i and a function R, R(i,e) = R(e,i) = e.
However what the example code shows is: R((e,i)) = i /\ R((i,e)) = i.
Here, the e in the described constraint is replaced by i in the constraint actually used. They seem to be saying two different things. This discrepancy is also present in the original tutorial herehttps://conjure.readthedocs.io/en/latest/tutorials/Groups.html.
As you wrote the original tutorial @ChrisJeffersonhttps://github.com/ChrisJefferson (I can't seem to tag Alice Lynch) I was wondering if you could confirm the intention here?
Thank you!
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N-J-Martin
I have been updating the Semigroups, Monoids and Groups google notebook tutorial, here, to use the latest conjure version (Version 9) as described by Issue #597 . However I noticed that when describing monoids, it says there has to be some element of the semigroup, e, that acts as an identity such that for all integers i and a function R,
R(i,e) = R(e,i) = e.
However what the example code shows is:
R((e,i)) = i /\ R((i,e)) = i.Here, the e in the described constraint is replaced by i in the constraint actually used. They seem to be saying two different things. This discrepancy is also present in the original tutorial here.
As you wrote the original tutorial @ChrisJefferson (I can't seem to tag Alice Lynch) I was wondering if you could confirm the intention here?
Thank you!