Sentence examples for realizable provability from inspiring English sources

In fact, the set of realizable provability principles is the intersection of \(\mathsf{GL}\) and \(\mathsf{S4}\) (Goris 2007).

The difference between the two notions of provability: "provable in a given formal system S" and provability by any correct means — manifests itself as a consequence of Gödel's Second Incompleteness Theorem, as follows.

Once again, if P has more than one realizer, then P is multiply realizable.

Heyting also proposes a provability operator +, where +p means "p is provable".

From now on we must do what is realizable".

Guilt and the provability of guilt do not always coincide.

But Gödel's self-referential formula comments on its provability, not on its truthfulness.

Provability is the lynchpin of the system and navigating the stringent demands of a contract can be challenging for landowners.

Ise Shintō establishes purity and honesty as the highest virtues, realizable through religious experience.

True equality, therefore, is only realizable in a state that is based on civic peoplehood.

His incompleteness theorem now showed that truth in every ω-complete model is not sufficient for provability.