Sentence examples for at arbitrary formulas from inspiring English sources

He also noted that the president "bristles at arbitrary formulas".

In these rules α and β are variables representing arbitrary formulas of PC.

Indeed, it is possible to encode arbitrary formulas into constant-only formulas preserving provability.

The semantics is defined explicitly to arbitrary formulas and variable assignments in Sandu (1996, 1998).

In Sandu (1996, 1998), the semantics is given for arbitrary formulas.

Is there a similar definition for arbitrary formulas of IF logic?

Safety net institutions will receive federal funding based on need (number of uninsured) and not based on arbitrary formulas.

All of these schemes follow, of course, from the full law of excluded middle, that is SLEM for arbitrary formulas.

From this point of view, atoms are nothing but unknown or arbitrary formulas, for which the proof strategy may even not be known.

Support of truth and support of falsity for arbitrary formulas are persistent with respect to the relation ≤ of possible expansion of information states.

The axioms of KPU are the weak Extensionality which allows urelements, Pairing, Union, Δ0 separation, Δ0 collection, and ∈-induction for arbitrary formulas.