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Author SHA1 Message Date
Mike Gerwitz e07887f8b5 design/tpl: Remove now-unused listing package 
All XML appears within the context of equations now.
 2021-05-26 12:30:03 -04:00
Mike Gerwitz 9b0e97d0b9 design/tpl (Matches): Add light clarifying text 
This is just some plain English to go along with and help rationalize the
text.  Further rationale will be provided in a dedicated section in the
future; such information is vitally important to understand why the system
evolved as it did.
 2021-05-26 11:32:31 -04:00
Mike Gerwitz 972ea13623 design/tpl: {\bullet=>\monoidop} 
This abstraction was introduced in the previous commit.
 2021-05-26 10:38:36 -04:00
Mike Gerwitz ddcdb8d9c6 design/tpl (Classification System): Introduce linear algebra notation 
I find this provides a visualization that is likely to be significantly more
intuitive for others.  It even holds when the matrix is not
rectangular (yes, I know, it's not really a matrix then), so long as all
matrices share the same respective K_j.
 2021-05-26 10:33:01 -04:00
Mike Gerwitz cc057e8178 design/tpl (tpl.sty)[newtheoremwithlabel]: Use spref for *pref 2021-05-26 10:32:50 -04:00
Mike Gerwitz 72b6f95d4e design/tpl (Classification System): \odot=>\Classify-based monoid notation 
This reads better, IMO.
 2021-05-25 10:50:55 -04:00
Mike Gerwitz aeb862032d desgin/tpl (Makefile)[clean]: Delete tpl.pdf 2021-05-24 13:29:34 -04:00
Mike Gerwitz 848a415ab2 design/tpl (\equivish): Symbol change 
This uses the same variable subscript on \equiv itself to define the symbol,
rather than the previous symbol which looked like equiv rotated, but also
looked too much like a turnstile used for "infer", a metalanguage construct
that is not appropriate here.  It kept bothering me.
 2021-05-24 13:24:53 -04:00
Mike Gerwitz 9611dfc3fc design/tpl (Classification System): Correct vertical spacing on match ex 
This is hinting that the xmlnl{,l} abstraction may not be working out.
 2021-05-24 13:14:16 -04:00
Mike Gerwitz f9fc33944c design/tpl (Classification System): Improve page breaks (miscellaneous) 2021-05-24 12:57:09 -04:00
Mike Gerwitz 7a2f40e455 design/tpl (Classification System): Adjust always/never figure and use spref 2021-05-24 12:56:24 -04:00
Mike Gerwitz 9e8b4d0cb6 design/tpl (Classification System): Match example with all ranks 
This does not yet provide the visualization using linear algebra notation;
that'll be coming soon.
 2021-05-24 12:56:24 -04:00
Mike Gerwitz caafecdbda design/tpl: Add \spref 
This is a bit opinionated, but I think it reads better, and it's certainly
better than manually having to proofread references frequently.
 2021-05-24 12:56:23 -04:00
Mike Gerwitz e70933eef8 design/tpl (Vectors and Index Sets): Refinement and rectangular matrix intro 
This refines the section a bit and introduces the familiar notation for
rectangular matrices (which normal people just call "matrices").
 2021-05-21 16:10:44 -04:00
Mike Gerwitz 8edef8a8c8 design/tpl (\rank): Add macro 2021-05-20 15:28:10 -04:00
Mike Gerwitz 50a6ccf4ec design/tpl (Classification System): Equation number refinement 
Just clean up a little bit using more proper AMS environments.
 2021-05-20 15:22:06 -04:00
Mike Gerwitz 98d724a7d7 design/tpl (Vectors and Index Sets): Remove unique value set example 
This ended up not being needed for the definition of the classification
system and just adds noise.
 2021-05-20 12:42:51 -04:00
Mike Gerwitz 9ad144d3d4 design/tpl (Classification System): Initial match definition 
This is a bit raw; it needs some explanation and examples.
 2021-05-20 10:45:44 -04:00
Mike Gerwitz 0d59ff607e design/tpl (XML Notation): Add additional example for literal binding 2021-05-19 13:06:40 -04:00
Mike Gerwitz f71c58b1da design/tpl (Vectors and Index Sets) [Rank]: New definition 2021-05-19 12:58:20 -04:00
Mike Gerwitz aafebbc716 design/tpl: Classification index entries 2021-05-19 10:48:35 -04:00
Mike Gerwitz 5fdaecf765 design/tpl: Adjust \footheight 
KOMA-Script is complaining, because of the multi-line Copyright notice on
the first page.  This resolves that warning.
 2021-05-19 10:05:36 -04:00
Mike Gerwitz 4a6f44ff90 design/tpl: Formatting of source files 
This introduces missing license headers in files and better organizes
tpl.sty into sections.
 2021-05-19 10:05:29 -04:00
Mike Gerwitz dfdf92848a design/tpl (Classification Introduction): Codomain {Real=>Bool} 
Whoops.  The values of the params are reals, but predicates are all
booleans, having been first transformed by the yet-to-be-formally-defined
matches.
 2021-05-19 09:02:48 -04:00
Mike Gerwitz f5b2261f0d design/tpl: Euler font 
I removed this when I added concmath, thinking that it would include it for
me, and apparently I never re-added it after realizing that it didn't.

I'm a big fan of the typography of Concrete Mathematics.
 2021-05-18 16:28:43 -04:00
Mike Gerwitz a488e3549d design/tpl (Classification System): Intro src formatting 
Just aligning.  Meant to do this in the previous commit.
 2021-05-18 16:15:05 -04:00
Mike Gerwitz bf6cf96169 design/tpl (Classification System): Reduce height for intro vdots 
The subscript of the matrix family adds too much vertical space.  This
offsets that to restore it to about what it otherwise would be, since the
second subscript does not get in the way.
 2021-05-18 16:14:10 -04:00
Mike Gerwitz 158e045762 design/tpl: geometry package for letterpaper 
Was not working properly in vanilla TeX Live image.
 2021-05-18 16:03:06 -04:00
Mike Gerwitz d65c061b29 design/tpl: configure script (for appendix) 
It's not required; TPL will fall back when missing conf.tex.
 2021-05-18 15:56:25 -04:00
Mike Gerwitz 80fd239d95 design/tpl: Letter paper 
This is what we'll usually be printing on, after all.
 2021-05-18 15:06:35 -04:00
Mike Gerwitz 83e3ade149 design/tpl (Classification System)[Classification Yield]: Allow break after "then" 
This was rendering poorly, breaking instead in the middle of "Axiom".
 2021-05-18 14:15:52 -04:00
Mike Gerwitz ef231f89fa design/tpl (Classification System): Remove TODO for always/never 
This was done in the previous commit.
 2021-05-18 14:11:40 -04:00
Mike Gerwitz 8957e6caf0 design/tpl (Classification System): Add always and never figure 
This demonstrates the vacuity lemma.
 2021-05-18 14:09:27 -04:00
Mike Gerwitz dfa37f5b77 design/tpl: Use \{emph=>dfn} for term introductions 
This uses \textsl rather than \emph.
 2021-05-18 12:16:11 -04:00
Mike Gerwitz 8a2407d66f design/tpl: Emphasize commutativity of monoids in classification system 2021-05-18 12:13:58 -04:00
Mike Gerwitz 1ec0fc0c7b design/tpl (Notational Convetions): Clean up unneeded bicompi 
This was originally going to be used to define @yields for the classifier,
but I took a very different approach which doesn't require reasoning about
the system in terms of recursion.
 2021-05-18 10:16:06 -04:00
Mike Gerwitz 2d268f2a55 design/tpl: Initial definition of classifications 
This defines @as and @yields, but does not yet define matches formally.
It's also missing index entries, which I'll take the time to add after I'm
sure things are staying as they are.

This was quite a bit of work, and the approach I took is different than I
originally expected, so Section 0 can use some cleanup.

There is more to come from here.
 2021-05-18 10:09:29 -04:00
Mike Gerwitz 4ea2574a8c design/tpl/tpl.sty: Use autoref for theorem macros 2021-05-17 13:21:56 -04:00
Mike Gerwitz fbe76a5616 design/tpl: Beginnings of classifications in terms of first-order logic 
This is going to evolve a great deal, and note that the yield definition is
completely absent.

It may be time to switch to natural deduction (Gentzen-style).
 2021-05-14 12:14:11 -04:00
Mike Gerwitz 9bcd7e1d7e design/tpl: Abstract theorem env + label creation 2021-05-14 10:50:49 -04:00
Mike Gerwitz 9fd57872ed design/tpl (Monoids and Sequences): Add missing index entries 
Forgot in previous commit.
 2021-05-14 10:38:17 -04:00
Mike Gerwitz 8d54420656 design/tpl (Monoids and Sequences): New section 2021-05-14 10:34:13 -04:00
Mike Gerwitz 060a7d0e6c design/tpl: \{log=>l}{and,or} 
Don't I feel silly.
 2021-05-14 10:34:09 -04:00
Mike Gerwitz 63b502b7df design/tpl: Add ccicons for Copyright line 2021-05-12 10:37:20 -04:00
Mike Gerwitz 1ad6bc93d7 design/tpl (Meta: Typesetting): Correct use of \tameclass 
That macro previously expanded into \Classify, but that was undone before
committing to make it clear when one is referring to a variable vs. a
classification as a definition.
 2021-05-11 16:52:03 -04:00
Mike Gerwitz 3cb2726737 desgin/tpl: Appendices begin on a new page 2021-05-11 16:50:23 -04:00
Mike Gerwitz bff2b32a52 design/tpl: More TODOs and margin remarks 2021-05-11 16:50:11 -04:00
Mike Gerwitz 9d9535a1b8 design/tpl: Introduce \Classify mathop 
This will be used as an IR of sorts to eliminate the XML, which will be far
too verbose to use in proofs.  It also allows us to attach behavior to the
operator, which will end up defining two values for @as and @yields.
 2021-05-11 16:37:08 -04:00
Mike Gerwitz d78186461f desgin/tpl: Add \todo margin notes 2021-05-11 16:36:43 -04:00
Mike Gerwitz 08109bc35d design/tpl: Vector addition example: \bicomp{=>i} 
The example as presented was incorrect, since \bicomp is undefined for
scalar values.
 2021-05-11 13:49:18 -04:00