Does it support type universes?

Yes, it implements universe levels (Type0, Type1, etc.) to prevent logical paradoxes like Russell's Paradox during formal proof verification.

What is bidirectional type checking?

It is an algorithm that splits type checking into two modes: 'Inference', where the system determines the type of an expression, and 'Check', where the system verifies that an expression matches a specific expected type.

How does this skill handle dependent types?

It supports Pi types (functions where return types depend on input values) and Sigma types (dependent pairs), allowing for extremely precise specifications like vectors of a specific length.

What is the GF(3) Trit role?

In this ecosystem, the Type Checker acts as a VALIDATOR (Trit -1), providing the necessary logical constraints to balance generative and coordinative code components.

Dependent Type Checker

Name: Dependent Type Checker
Author: plurigrid

byplurigrid

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Developer Tools

Validates program correctness using bidirectional type checking and dependent type theory to catch errors at compile time.

The Type Checker skill implements a sophisticated bidirectional type system designed for formal verification and rigorous static analysis. By treating types as theorems and programs as proofs, it enables developers to enforce complex logical constraints using Pi and Sigma types. It features a unique GF(3) balance verification system that classifies code components as generators, coordinators, or validators to ensure structural conservation. This skill is essential for developers building domain-specific languages, formalizing mathematical proofs, or ensuring the absolute correctness of critical code paths.

Key Features

01Advanced error formatting with fix suggestions and context analysis

02Type equality checking via beta-reduction and normalization

03GF(3) trit-based conservation and balance verification

04Bidirectional type checking (Inference vs. Check modes)

05Support for dependent types including Pi and Sigma types

062 GitHub stars

Use Cases

01Validating mathematical proofs and topological computations

02Implementing type-safe domain-specific languages (DSLs)

03Formal verification of mission-critical software and smart contracts

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi type-checker

For use in Claude.ai and ChatGPT

Download Skill