nela-foundations

Explains mathematical foundations for designing and verifying NELA language constructs.

4|Updated May 7, 2026

Search Tags:#NELA #Interaction Nets #Linear Logic #Dependent Type Theory #programming language design

Ready to run

npx skills add https://github.com/heikowagner/nela-lang --skill nela-foundations

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: nela-foundations
Source: https://github.com/heikowagner/nela-lang/tree/main/.github/skills/nela-foundations
Command: npx skills add https://github.com/heikowagner/nela-lang --skill nela-foundations

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill provides a comprehensive understanding of the mathematical foundations behind the NELA programming language, aiding in the design and verification of NELA constructs.

Core Features & Use Cases

Mathematical Foundations: Delve into the theories of Interaction Nets, Linear Logic, Dependent Type Theory, and their application in NELA.
Design Guidelines: Offers guidelines for designing NELA language constructs, rewrite rules, and type systems.
Use Case: When creating new NELA language constructs or verifying the correctness of NELA programs, this Skill provides essential background knowledge.

Quick Start

Load the nela-foundations skill to understand the mathematical underpinnings of NELA language design.

Frequently Asked Questions about nela-foundations

High-intent search queries and answers about installing and using this skill.

FAQPage Schema

How do Interaction Nets and Linear Logic apply to programming language design?▼

Interaction Nets and Linear Logic provide the mathematical foundations for resource management in programming language design, ensuring that computational resources are used exactly once. This Skill applies these theories to assist in designing NELA language constructs and verifying program correctness.

What is the best way to design new constructs and rewrite rules for the NELA language?▼

The best way to design NELA constructs and rewrite rules is by leveraging the mathematical foundations of Dependent Type Theory. This Skill provides specific design guidelines and theoretical background to help you create and verify new language constructs.

Do I need prior knowledge of mathematical theories to use this Skill for NELA language design?▼

Yes, you need existing knowledge of mathematical theories and NELA language design principles to use this Skill effectively. It provides the foundational background for verifying program correctness rather than teaching the underlying mathematical theories from scratch.

How does Dependent Type Theory help with verifying program correctness in NELA?▼

Dependent Type Theory helps verify program correctness in NELA by allowing types to depend on values, enabling the expression of complex program invariants. This Skill uses these mathematical foundations to assist in validating the correctness of NELA constructs.

Can I use this Skill to verify the correctness of existing NELA programs?▼

Yes, you can use this Skill to verify the correctness of existing NELA programs. It provides the mathematical foundations and design guidelines needed to validate program behavior and ensure constructs adhere to Interaction Nets and Linear Logic principles.

What are the limitations of using Linear Logic for NELA programming language design?▼

A limitation of using Linear Logic for NELA programming language design is the requirement for specialized mathematical knowledge to apply the concepts correctly. This Skill focuses on the theoretical foundations and design guidelines, requiring you to understand these principles to implement constructs effectively.