inference rule

It can be derived from and through the resolution inference rule.

These inference rules are written with a list of sequents above and below a line.

We can write this in the form of an inference rule:

This shows how inference rule Substitution is used within hints.

This can be formalized using inference rules, what we do in the left column of the following table.

It can also be used to implement any logic that is specified by means of inference rules.

The set of inference rules is said to be complete if the following holds:

It is necessary to verify that the extra inference rules do not change the generated language.

For example, a knowledge-manipulation program might implement inference rules as demons.

It is meant to express inference rules closely related to the "natural" way of reasoning.

Inference rules can apply to elements on both sides of the turnstile.

Of the four inference rules only two survived.

We now give inference rules describing how to build proofs of sequents.

There are hybrid theorem proving systems which use model checking as an inference rule.

The following alternative inference rules for default logic are all based on the same syntax as the original system.

Then, a set of inference rules is sound if and only if the following holds:

This allows us to formulate exactly what it means for the set of inference rules to be sound and complete:

The general form of an inference rule is:

Both rules are based on the modus ponens inference rule.

In the sequent calculus all inference rules have a purely bottom-up reading.

Information, inference steps, inference rules, and agents are the three main building blocks of the language.

Three types of relevant information can be anticipated from experience knowledge and inference rules, relating to:

Syntactic accounts of logical consequence rely on schemes using inference rules.

In contrast, it is largely incompatible with logical systems which uses other things than formulas and inference rules.

Beliefs can also include inference rules, allowing forward chaining to lead to new beliefs.