What is the primary function of the Lambda Calculus skill?

The skill allows Claude to parse, reduce, and reason about lambda calculus terms, providing a mathematical engine for functional programming logic and formal computation.

Can this skill help with type checking?

Yes, it includes support for Simply Typed Lambda Calculus (STLC) and can perform type inference to ensure logical consistency in terms.

Which reduction strategies can I use?

You can choose between normal order (guarantees finding a normal form if one exists), applicative order, and lazy evaluation (call-by-need).

Does it support recursive functions?

Yes, it implements the Y (Fixed Point) combinator, which enables recursion within the lambda calculus framework without needing native recursive keywords.

Lambda Calculus Engine

Name: Lambda Calculus Engine
Author: plurigrid

byplurigrid

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Developer Tools

Implements Church's lambda calculus to provide a formal mathematical foundation for functional programming and logic within Claude.

The Lambda Calculus skill provides a robust environment for executing, reducing, and analyzing lambda terms based on Church's foundation of functional programming. It enables Claude to handle variables, abstractions, and applications with precision, supporting multiple beta-reduction strategies such as normal, applicative, and lazy evaluation. Designed for high-level reasoning and formal verification, it includes Church encodings for data structures, Y combinators for recursion, and De Bruijn indices to eliminate alpha-equivalence issues. This skill is particularly useful for developers and researchers working on language design, formal logic, or graph-based computation models like interaction nets.

Key Features

01Complete lambda syntax support (Variables, Abstraction, Application)

022 GitHub stars

03Multiple reduction strategies: Normal, Applicative, Lazy, and Parallel

04Compilation path from lambda terms to interaction net representations

05Structural analysis tools including De Bruijn indices and type inference

06Comprehensive Church encodings for booleans, numerals, and data structures

Use Cases

01Formalizing and verifying functional programming logic and recursive algorithms

02Transforming high-level logical abstractions into topological interaction nets

03Educational modeling of computation theory and lambda calculus foundations

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi lambda-calculus

For use in Claude.ai and ChatGPT

Download Skill