Sentence examples for assignment s from inspiring English sources

A formula θ is logically true, or valid, if M,s ⊨ θ, for every interpretation M and assignment s.

If φ is a formula of L1K=, M is an interpretation for L1K=, and s is a variable-assignment on M, then we write M,s ⊨ φ for M satisfies φ under the assignment s.

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].

The qualifications could be increased to require college degrees and their experience could determine where they are placed for their substituting assignment(s).

Each assignment s is called an inheritance state.

A formula θ is satisfiable if there is an interpretation M and a variable-assignment s on M such that M,s ⊨ θ.

A set Γ of formulas is satisfiable if there is an interpretation M and a variable-assignment s on M such that M,s ⊨ θ, for every formula θ in Γ.

We say that an argument <Γ,θ> is semantically valid, or just valid, written Γ ⊨ θ, if for every interpretation M of the language and any variable-assignment s on M, if M,s ⊨ ψ, for every member ψ of Γ, then M,s ⊨ θ.

So we can just write M ⊨ θ if M,s ⊨ θ for some, or all, variable-assignments s.

He is the battalion's intelligence officer, or, in the nameless roster of assignments, S-2.