Commit Graph

16 Commits (4ea2574a8c88a78b9f9ef39bddd11e242f23fadb)

Author SHA1 Message Date
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 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 bff2b32a52 design/tpl: More TODOs and margin remarks 2021-05-11 16:50:11 -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
Mike Gerwitz 5808afc8a2 design/tpl: Universal=>conjunctive, existential=>disjunctive classification 2021-05-11 13:06:06 -04:00
Mike Gerwitz 2407af56e4 design/tpl: _-notation clarification (wildcard/hole) 2021-05-11 12:47:28 -04:00
Mike Gerwitz 13317aac6c design/tpl: Vectors and Index Sets \goodbreak
This fits nicely on a single page.  At the time of writing, the previous
section is near the end of the page, so this works reasonably well.
2021-05-11 11:39:23 -04:00
Mike Gerwitz 7f4fc8e3b7 design/tpl: Mostly-complex symbol index entries for Chapter 0 2021-05-11 11:33:12 -04:00
Mike Gerwitz dfb013ca74 design/tpl: Corrected conjunction/disjunction index placement
They were incorrectly placed at the quantifiers.
2021-05-11 09:59:03 -04:00
Mike Gerwitz cb9ccfe5f3 design/tpl: \vdash=>\infer and index entry 2021-05-10 16:54:19 -04:00
Mike Gerwitz 4e7b882aed design/tpl: Begin symbol list at beginning of index 2021-05-10 16:50:30 -04:00
Mike Gerwitz c371d12a02 design/tpl: Remove glossary
This is an unnecessary feature to maintain right now.  I will include
symbols at the very beginning of the index, which is common in mathematics
texts, and may will add a table of common symbols in the future.
2021-05-10 14:28:37 -04:00
Mike Gerwitz 0a16808542 design/tpl: Subscript notation for function application
This is convenient and visually appealing in certain circumstances.  That's
highly subjective.
2021-05-10 14:08:11 -04:00
Mike Gerwitz bd454f7a7c design/tpl: The Tame Programming Language initial concept
There's a lot of change that's likely going to take place with this thing,
but it's a start.  The abstract summarizes the purpose of this---to formally
define TAME in terms of algebra, first-order logic, and [ZFC] set theory.

This came about while working on compiler changes and optimizations, since
it's difficult to ensure correctness (and discover further optimizations)
without being able to formally define the language.  The focus at the moment
is the classification system rewrite, which can be expressed in terms of
first order logic and set theory.

This commit contains essentially a POC with some carefully chosen
mathematical foundations (abstractions of which are subject to change) and a
basic representation of a subset of the classification system for scalars.
2021-05-10 13:46:49 -04:00