Sentence examples for equivalent of semantics from inspiring English sources

Isn't this the numerical equivalent of semantics?

For several classes of algebras that are the equivalent algebraic semantics of some algebraizable logic it has been known for a long time that for every algebra in the class there is an isomorphism between the lattice of congruences of the algebra and a lattice of subsets of the algebra with important algebraic meaning.

The equivalent algebraic semantics of gK is the variety MA of modal algebras, the set of equivalence formulas is the set {p ↔ q} and the set of defining equations is {p ≈ 1}.

(Note that strong modal fictionalists who take their theory to not be descriptive of current usage are unlikely to be tempted by the claim of analytic equivalence and will have to demur from Divers's timid fictionalist proposal, so they at least face an open question if they want the equivalent of a "possible worlds semantics" in Divers's rich sense).

Since both S and H are invertible functions of the remaining degree of freedom, it immediately follows that S can be calculated from H and H from S. Whether you want to call this equivalent or not is a matter of semantics.

The researchers in AAL are somehow surprised by the fact that several finitary and finitely algebraizable logics have a variety as its equivalent algebraic semantics, when the theory of algebraizable logics allows us in general to prove only that the equivalent algebraic semantics of a finitary and finitely algebraizable logic is a quasivariety.

Hence for every algebraizable logic L its natural class of algebras AlgL is its greatest equivalent algebraic semantics, whatever perspective is taken.

This link between an algebraizable logic and its greatest equivalent algebraic semantics allows us to prove a series of general theorems that relate the properties of an algebraizable logic with the properties of its greatest equivalent algebraic semantics.

The denotation semantics is outlined, the (equivalent) operational semantics is presented and a new realization of the latter is given as a rewriting system.

In the context of semantic web, Sheth et al. [28] define three types of semantics: implicit semantics, formal semantics, and powerful (or soft) semantics.

In this way we see that the link between L and its greatest equivalent algebraic semantics is really very strong and that the properties of L should translate into properties of the associated equational consequence relation.