Created by Jesse Rappaport
Below, you will find examples of tauotologies (statements that are logically necessary), which you may plug in to the tableau generator. To test a tautology, you may enter it as a conclusion with no premises. Since a tautology is true independently of the state of the world, a tautological statement can be proven without any premises.
| PROPOSITIONAL LOGIC |
|---|
| CCCpqpp |
| CKAppCpqq |
| CCpqCNqNp |
| CMKpqKMpMq |
| BLApqALpLq |
| KCMpMMpCMMpMp (S5-valid) |
| BCpCqrCKpqr |
| KCKApqNpqBCpCqrCKpqr |
| FIRST-ORDER LOGIC |
|---|
| CVxFxFa |
| CFaExFx |
| VxAFxNFx |
| CExKFxGxKExFxEyGy |
| CKVxCFxGxFaGa |
| CExVyHyxVyExHyx |
| CMVxFxMExFx |
| CNExFxVxNFx |