ΛΓΧ.ΨΘΗΚΟ Documentation

Advanced computational framework for Π-recursive algorithm optimization with λ-calculus extensions.

Getting Started

Terminal

// Initialize project

$ λ-init math-optimization

$ λ-compile --target wapm

Core Concepts

🚀 Π-Recursive Core

Efficient recursive computation engine with memory-aware optimizations. Supports complex pattern matching and type inference through advanced Σ-reductio mechanisms.

🧠 Λ-Extensions

Custom λ-calculus extensions enabling seamless integration with numerical algorithms. Transforms mathematical expressions into optimized computation graphs.

Example: Mathematical Pattern Matching

define fibonacci(n : NonNegativeInteger) : Integer = {
  match(n) {
    0 : 0
    1 : 1
    _ : fibonacci(n - 2) + fibonacci(n - 1)
  }
}

API Reference

compile()

Compiles source code into optimized native representation

compile(source: String, options: OptionMap) : CompilationResult

optimize()

Performs graph-based algorithmic optimizations

optimize(graph: ComputationGraph, target: TargetArchitecture)

Community Resources

📘 GitHub

Access source code, examples, and contribute to the latest developments.

View Project

📖 Zentralblatt

Mathematical research papers describing Π-recursive optimization foundations.

Read Papers

🛠 Playground

Interactive environment for testing mathematical algorithms and optimizations.

Open Playground