Initial commit: Mathematical Programming Language (MPL)

A proof-of-concept parser demonstrating that programming languages can be built
entirely from mathematical notation, enabling cognitive universality in computing.

MPL replaces English keywords with mathematical symbols, making programming
accessible to the 80% of humanity who don't speak English. Every design decision
follows the Fatima Test: "Will this make sense to a 10-year-old who doesn't
speak English?"

Current implementation:
- Complete ANTLR 4 grammar with 70+ mathematical operators
- Parser supporting all major programming paradigms
- Zero grammar ambiguities
- ASCII escape sequences for every Unicode symbol

This release contains:
- Core parser implementation
- Grammar specification
- Example programs
- Comprehensive documentation
- Whitepaper outlining the vision

Note: This is a parser-only proof of concept. Programs can be parsed but not
executed. The interpreter and runtime are future work.
This commit is contained in:
developtheweb@protonmail.com 2025-07-26 18:39:08 -04:00
commit 3cf435b41e
43 changed files with 5528 additions and 0 deletions

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-- Hello World example
✎"Hello, World!";

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-- Factorial example with proper precedence
factorial ≜ λn∈: (n≤1 ⟹ 1) | (n×factorial(n-1));
result ← factorial(5);
✎result;

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-- File processing with error handling
processFile ≜ λpath: {
data ← readFile(🖫path);
result ← transform(data);
writeFile(result, 🖫"output.txt");
⟨"success"|"failed"⟩
} ↴ {↯e ⇒ ⟨⊥|e⟩};

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-- Concurrent download with parallelism
downloadAll ≜ λurls: ∀url∈urls: (
fetchData(url) ‖ processData(url)
) ⟹ mergeResults();

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-- Module definition example
𝓜 Mathematics ⇒ {
π ≜ 3.14159;
sin ≜ λx∈: {- implementation -};
cos ≜ λx∈: {- implementation -}
};
angle ← π/4;
result ← Mathematics‧sin(angle);

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-- Resource management with RAII
databaseQuery ≜ λquery:
conn ← database ⊕;
result ← execute(conn, query);
✎"Query executed";
result
⌉_db_lock
{- conn ⊖ happens automatically at end of -}
;

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-- Metaprogramming with code quotation
generateFunction ≜ λname: ⌜
λx: x × 2
⌝;
doubler ← ⌞generateFunction("doubler")⌟;
result ← doubler(21);

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-- Real-time scheduler with periodic tasks
scheduler ≜ ⟳(
tasks ← getPendingTasks();
∀task∈tasks: execute(task) ‖ monitor(task),
100ms
);

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-- Network server with connection handling
server ≜ λport:
socket ← bind(port) ⊕;
∀request∈acceptLoop(socket): (
data ← ↽_socket request;
response ← processRequest(data);
⇀_socket response
) ‖ handleNext()
{- socket ⊖ happens automatically at end of -}
;

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-- Type-safe database with refinement types
User ≜ {name: String, age: | age>0, email: String};
query ≜ λtable∈Database: ∀row∈table: validateUser(row) ↴ {
↯"Invalid user" ⟹ ⊥
};