2 releases

0.1.0-alpha.2 Jul 1, 2024
0.1.0-alpha.1 Jun 28, 2024

#742 in Math

MIT license

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Propositional Logic

This crate offers tools for defining and manipulating logical propositions using symbols and connectives like and, or, and implies. It simplifies the creation of logical expressions and the evaluation of their truth values within defined logical contexts.

Useful for educational purposes, AI projects, and any application requiring formal logical reasoning.

Examples

use propositional::prelude::*;

let rain = symbol!("it's raining");
let cloud = symbol!("it's cloudy");

let world = and!(
    implies!(rain, cloud),
    rain
);

println!("It is cloudy? {:?}", check(&world, &cloud));
//-> It is cloudy? Some(true)

Source: wikipedia.org

use propositional::prelude::*;

let rain = symbol!("It is raining.");
let hagrid = symbol!("Harry visited Hagrid.");
let dumbledore = symbol!("Harry visited Dumbledore.");

let knowledge = and!(
    implies!(not!(rain), hagrid),
    or!(hagrid, dumbledore),
    not!(and!(hagrid, dumbledore)),
    dumbledore
);

println!("It is raining? {:?}", check(&knowledge, &rain));
//-> It is raining? Some(true)

Source: CS50

Acknowledgments

Based on: CS50’s Introduction to Artificial Intelligence with Python.

No runtime deps