https://github.com/BenRogersNewsome/First-Order-Logic

https://github.com/BenRogersNewsome/First-Order-Logic

Last synced: about 1 month ago
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• Host: GitHub
• URL: https://github.com/BenRogersNewsome/First-Order-Logic
• Owner: BenRogersNewsome
• License: mit
• Created: 2023-02-15T22:13:53.000Z (over 1 year ago)
• Default Branch: master
• Last Pushed: 2023-02-25T20:08:04.000Z (over 1 year ago)
• Last Synced: 2024-02-11T13:13:01.700Z (5 months ago)
• Language: Rust
• Size: 93.8 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: readme.md
  • License: LICENSE

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• awesome-rust-formalized-reasoning - Rust First Order Logic - syntax of First Order Logic with self-consistent logical assertions. (Projects / Libraries)

README

        
# Rust First Order Logic

A Rust implementation of the syntax of First Order Logic, and a logical 'harness' for making self-consistent logical assertions on a domain of discourse.

**Goals**:

- Construct and manipulate logical statements using the syntax of first-order logic.

- Define, and make assertions on, predicates and functions with self-consistent logical checking

- Expose an interface for integrating packages that implement (independent of this package) higher-level mathematical concepts (such as set theory) and interfacing with them through the language of FOL.

**Non-goals**:

- Implement any formalism of set theory, or expose the idea of a set.

- Automated theorem proving

- Provide a base on which higher-level mathematical packages can be implemented.

## Features

| Feature                      | Description                                                         | Status |

| ---------------------------- | ------------------------------------------------------------------- | :----: |

| **Logical Syntactics**       |                                                                     |        |

| FOL grammar                  | A typed grammar for FOL                                             |   ✅   |

| Prenex Normal Form           | A typing for PNF and conversion from others forms                   |   ✅   |

| Skolem Normal Form           | A typing for SNF and and conversion from other forms                |   ✅   |

| Conjunctive Normal Form      | A typing for CNF and conversion from other forms                    |   ✅   |

| **Logical Semantics**        |                                                                     |        |

| Predicates                   | Graph support for asserting logical predicates                      |  WIP   |

| Functions                    | Graph support for defining logical functions                        |  WIP   |

| Bound Variables              | Graph support for creating named bound variables                    |  WIP   |

| Logical sentence integration | The ability to directly apply syntactic statements to the FOL graph | Future |

## Package Structure

---

### Syntax

Defines a strongly-typed grammar for first-order logic, together with a set of strongly-typed normal forms, and methods for converting between them.

### Semantics

Defines an in-memory graph structure that keeps track of logical statements and allows for self-consistent logical checking.

The graph is rarely operated on directly but is managed by the public interface created by the many default predicates and functions.