AngouriMath
Implication(AngouriMath.Entity,AngouriMath.Entity)
Method (no overloads)
Summary
https://en.wikipedia.org/wiki/Material_implication_(rule_of_inference)
Parameter "assumption"
The assumption node
Parameter "conclusion"
The conclusion node
Returns
Implies node
Example
using AngouriMath;
using System;
using static AngouriMath.MathS;
var (x, y) = Var("x", "y");
var myXor = Disjunction(Conjunction(x, Negation(y)), Conjunction(y, Negation(x)));
Console.WriteLine(myXor);
Console.WriteLine(MathS.Boolean.BuildTruthTable(myXor, x, y).ToString(multilineFormat: true));
Console.WriteLine("------------------");
var expr = ExclusiveDisjunction(Implication(x, y), Implication(y, x));
Console.WriteLine(expr);
Console.WriteLine("------------------");
var expr2 = Conjunction(x, Conjunction(x, y));
Console.WriteLine(expr2);
Console.WriteLine(expr2.Simplify());
Prints
x and not y or y and not x
Matrix[4 x 3]
False False False
False True True
True False True
True True False
------------------
(x implies y) xor (y implies x)
------------------
x and x and y
x and y
Angouri © 2019-2023 · Project's repo · Site's repo · Octicons · Transparency · 1534 pages online