Definition:Modal Logic

From ProofWiki
Jump to: navigation, search

Definition

Modal logic is a branch of logic in which truth values are more complex than being merely true or false, and which distinguishes between different "modes" of truth.


There are two operators in classical modal logic:

Necessity, represented by $\Box$ and
Possibility, represented by $\Diamond$.

Modal logic may also have other operators, including:

Temporal logic, which uses several operators including present and future;
Epistemic logic, which uses operators "an individual knows that" and "for all an individual knows it might be true that";
Multi-Modal logic, which uses more than two unary modal operators.



Also see

  • Results about modal logic can be found here.