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Re: [Bug-apl] IOTA

From: Mike Duvos
Subject: Re: [Bug-apl] IOTA
Date: Sun, 6 Mar 2016 08:08:41 -0800

Hi Jürgen,

When James A. Brown wrote APL2, he based his arrays on Trenchard
More's "Array Theory", an attempt to give nested rectangular arrays an
axiomatic foundation equivalent to that of set theory.  The major
implementation of this idea is in the language NIAL, of which Q'NIAL
is a popular incarnation.

I haven't read More's paper, but I would assume that for array theory
to be consistent, enclose of a non-simple scalar can't be a no-op,
because disclose of a non-simple scalar isn't a no-op, and enclose and
disclose need to be inverses of each other.



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