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developtheweb 468a8045c7 Sync all reference docs with the grammar 
- precedence.csv regenerated to the actual 14-level chain (postfix and
  prefix levels, guarded alternatives, definition vs assignment)
- glyph-escapes.md regenerated from the lexer: 73 glyphs, exactly one
  ASCII escape each, verified code points; M1-deferred symbols listed
  separately; add \middot so every glyph has an escape
- math_prog_lang.md: M0/M1 symbol split, canonical handler arrow, one-role
  semicolon, real precedence table and brace-disambiguation rules; the ten
  example programs are now embedded verbatim and CI-parsed
- Whitepaper (md + tex + appendices): every mpl code block parses or is
  re-fenced as an explicitly-labelled M1+ design sketch; symbol tables
  replaced by a pointer to glyph-escapes.md; unbuilt tooling and unmeasured
  claims reworded as planned/envisioned
- docs/ARCHITECTURE.md: status preamble, real grammar excerpt, planned
  sections labelled as such
- DocumentationTest now also covers math_prog_lang.md and the whitepaper
- CHANGELOG and DECISIONS.md updated
2026-07-09 03:19:43 -04:00
..
mpl-whitepaper-appendices.md Sync all reference docs with the grammar 2026-07-09 03:19:43 -04:00
mpl-whitepaper.md Sync all reference docs with the grammar 2026-07-09 03:19:43 -04:00
mpl-whitepaper.tex Sync all reference docs with the grammar 2026-07-09 03:19:43 -04:00
README.md Sync all reference docs with the grammar 2026-07-09 03:19:43 -04:00

README.md

MPL Whitepaper

This directory contains the comprehensive academic whitepaper for the Mathematical Programming Language (MPL).

Contents

Main Documents

  1. mpl-whitepaper.md (~15 pages)

    • Complete academic whitepaper in Markdown format
    • Suitable for online viewing and conversion to other formats
    • Includes all sections from Abstract through Conclusion
    • Features application sketches in 5 domains:
      • Scientific Computing
      • Data Processing
      • Web Services
      • Machine Learning
      • Systems Programming

  2. mpl-whitepaper.tex

    • Conference-ready LaTeX version (IEEE format)
    • Properly formatted for POPL/OOPSLA submission
    • Includes Unicode math support
    • Custom MPL syntax highlighting

  3. mpl-whitepaper-appendices.md

    • Comprehensive appendices with:
      • Symbol reference (pointing to the authoritative glyph-escapes.md)
      • Annotated example programs
      • Grammar validation details
      • Implementation details
      • Pedagogy and envisioned pilot materials

Whitepaper Structure

  1. Abstract - Problem, solution, and impact summary
  2. Introduction - Cultural barriers and research questions
  3. Related Work - APL, Unicode languages, cognitive design
  4. Design Principles - Universality, expressiveness, practicality
  5. Language Design - Core operators and effect extensions
  6. Implementation - ANTLR grammar and parser details
  7. Evaluation - Completeness, performance, accessibility
  8. Case Studies - Concurrency, resources, metaprogramming
  9. Real-World Applications - Scientific, data, web, ML, systems
  10. Limitations & Future Work - Current gaps and research directions
  11. Conclusion - Vision for universal programming

Key Features Documented

  • 70+ Mathematical Symbols: Unicode operators, each with exactly one ASCII escape
  • Effect Operators: Novel symbols for exceptions, concurrency, resources
  • 24 Greek Variables: Full Greek alphabet for identifiers
  • CI-Validated Grammar: Compiles with zero ANTLR errors and warnings; documented precedence
  • Paradigm Coverage: Functional, imperative, concurrent, metaprogramming

Building the LaTeX Version

# Requires XeLaTeX for Unicode support
xelatex mpl-whitepaper.tex
bibtex mpl-whitepaper
xelatex mpl-whitepaper.tex
xelatex mpl-whitepaper.tex

LaTeX Requirements

  • XeLaTeX: Required for Unicode support (not pdflatex)
  • unicode-math package: For mathematical symbols
  • fontspec package: For font configuration
  • newunicodechar package: For symbol fallbacks

The LaTeX version includes fallback definitions for all MPL-specific Unicode symbols to ensure compatibility across different LaTeX installations. If symbols still don't render properly, check that Latin Modern Math font is installed.

Target Venues

  • POPL (Principles of Programming Languages)
  • OOPSLA (Object-Oriented Programming, Systems, Languages & Applications)
  • PLDI (Programming Language Design and Implementation)
  • Onward! (New ideas in programming)

Citation

When referencing this work:

@article{mpl2025,
  title={Mathematical Programming Languages: Achieving Cognitive Universality Through Unicode-Based Syntax},
  author={[Author Name]},
  journal={Preprint},
  year={2025}
}