generate all normal modal logic axiom in csharp

To generate all the normal modal logic axioms in C#, you can use the following code:


main.cs
public static List<string> GenerateNormalModalAxioms()
{
    var axioms = new List<string>();
    var propositionalVariables = new List<string>() { "p", "q", "r", "s", "t" };
    var modalOperators = new List<string>() { "◇", "□" };

    for (int i = 0; i < propositionalVariables.Count; i++)
    {
        // Reflexivity
        axioms.Add($"□{propositionalVariables[i]} → {propositionalVariables[i]}");

        for (int j = 0; j < propositionalVariables.Count; j++)
        {
            // Transitivity
            axioms.Add($"□({propositionalVariables[i]} → {propositionalVariables[j]}) → (□{propositionalVariables[i]} → □{propositionalVariables[j]})");

            // Seriality
            for (int k = 0; k < modalOperators.Count; k++)
            {
                axioms.Add($"{modalOperators[k]}({propositionalVariables[i]}) → ◇({propositionalVariables[j]})");
            }
        }
    }

    // Symmetry
    axioms.Add($"□({propositionalVariables[0]} → {propositionalVariables[1]}) → □({propositionalVariables[1]} → {propositionalVariables[0]})");

    return axioms;
}
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This code will generate a list of all the normal modal logic axioms in C#. The axioms are generated based on propositional variables and modal operators. The code includes the axioms for reflexivity, transitivity, seriality, and symmetry.

Note that this code only generates the axioms for normal modal logic. If you need to generate axioms for other types of modal logic, you will need to modify the code accordingly.

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