Sentence examples for as a consequence relation from inspiring English sources

Results of estimation of predictive confirmation of all attributes (structure, surface active, and molecular ones) in rules induced for class good and weak are presented in Figures 2 and 3. Let us interpret a rule as a consequence relation " if E, then H," where E denotes rule premise and H rule conclusion.

Similarly we can define the logic of a class of matrices M by taking condition as a definition of a consequence relation.

The conditions given earlier for C's being a closure operation can be recast as conditions definitive of a consequence relation, conditions we do not give explicitly here.

In due course we will see the notion of a consequence relation as one way of specifying such behaviour.

A consequence relation, called forcing, [⊢, is defined as follows.

Similarly for a consequence relation which satisfies the conditions on consequence relations conditional conditions included derived, as just described, from these determinant-induced conditions on generalized consequence relations.

If we define a consequence relation over some maximally consistent subset, then the relation can be thought of as preserving the level of consistent fragments.

A consequence relation is a mathematical relation that models what follows logically from what.

As a consequence any relation between dust attenuation and stellar mass will be particularly useful at least to apply global corrections to large samples of galaxies.

If K is an epistemic state, then a nonmonotonic consequence relation can be defined as follows: A B iff B ∈ K*A.

The notion of a default consequence relation is introduced as a generalization of both default and modal formalizations of nonmonotonic reasoning.