Sentence examples for under an assignment from inspiring English sources

The consistency of two formulas A and B is established by a matrix that, under an assignment σ, assigns to both formulas designated values.

Open formulas are merely true or false under an assignment of values to their free variables.

For a general pre-structure M, there is a natural way to define what it means for a second-order formula φ to be satisfied in a structure M under an assignment s of objects to the free variables in φ, which again will be written M ⊨ φ[s].

More formally, we need to define inductively what it means for a second-order formula φ to be satisfied in a structure M = (A, R,...) under an assignment s of objects to the free variables in φ, which will be written M ⊨ φ[s].

However, it is quite a delicate matter to provide a compositional amendment of the Tarskian definition of truth in a model $\langle D, I \rangle$ under an assignment $s$ that delivers Quine's verdicts.[7] The permutation principle, however, becomes redundant in the presence of axioms for identity.

A first observation has been that we can divide the characters into two groups: those still acting on their own – and hence appearing more in the tradition of the classical single professor image – and those working under an assignment or even within a whole team.

Under any interpretation, a constant is interpreted as one individual, and under any assignment, a variable is interpreted as one individual.

I've spent most of today both under pressure to get an assignment out the door and under the weather; still sniffling, but the piece has been emailed off, so a bit of time for the blog.

Jen invents the widget, then assigns it to Twitter under an IPA assignment, and then Twitter gets the patent issued from the patent office.  .

To solve an assignment problem under the local assignment hypothesis, we simply match each object with its highest rated color.

"Our aspirational goal is to match Beijing and come fourth, but nobody should be under any illusions how tough an assignment it will be," he added.