Skip to content

TOPOLOGY.adoc

Latest commit

 

History

History
38 lines (30 loc) · 1.36 KB

TOPOLOGY.adoc

File metadata and controls

38 lines (30 loc) · 1.36 KB
Raw

TOPOLOGY.md — tropical-resource-typing

Purpose

Research project exploring tropical mathematics and resource-aware type systems for functional programming. Investigates linear and substructural types through the lens of tropical algebra, enabling novel optimizations and resource management strategies. Part of nextgen-languages ecosystem’s type system research.

Module Map

tropical-resource-typing/
├── src/                 # Research implementation
│   ├── tropical/       # Tropical algebra foundations
│   ├── types/          # Resource typing system
│   ├── inference/      # Type inference engine
│   └── analysis/       # Resource consumption analysis
├── papers/             # Academic papers and proofs
├── examples/           # Case studies and applications
└── tests/              # Validation suite

Data Flow

[Source Program] ──► [Parser] ──► [Tropical Type Inference] ──► [Resource Analysis]
                                           ↓
                                  [Optimization] ──► [Compiled Output]

Research Areas

  • Tropical algebraic semantics for resource types

  • Substructural type systems with multiplicative intuitionistic logic

  • Resource consumption prediction and optimization

  • Integration with formal verification frameworks