reducibility

One method is based on the difference in the reducibility between the two tetrahalides.

We can imagine a world in which the axiom of reducibility is not valid.

This reducibility part of the work was independently double checked with different programs and computers.

Various other paths in have been shown to exist, each with specific kinds of reducibility properties.

Type theory is chiefly interested in the convertibility or reducibility of programs.

There are two common ways of producing reductions stronger than Turing reducibility.

Later Norman Shapiro used the same concept in 1956 under the name strong reducibility.

This means essentially the lack of any particular reduction strategy - with regard to reducibility, "all bets are off".

Not all preorders are studied as reducibility notions, however.

This includes six primitive propositions 9 through 9.15 together with the Axioms of reducibility.

But the axiom of reducibility proposes that in theory a reduction "all the way down" is possible.

A technical detail not discussed here but required to complete the proof is immersion reducibility.

The study of reducibility notions is motivated by the study of decision problems.

In recursion theory, these equivalence classes are called the degrees of the reducibility relation.

Many variants of truth-table reducibility have also been studied.

Many properties of semisimple Lie algebras depend only on reducibility.

But, Kleene wonders, "on what grounds should we believe in the axiom of reducibility?"

Both axioms, however, were met with skepticism and resistance; see more at Axiom of reducibility.

These two properties imply that a reducibility is a preorder on the powerset of the natural numbers.

Post (1944) introduced several strong reducibilities, so named because they imply truth-table reducibility.

This says that with regards to many-one reducibility, the halting problem is the most complicated of all computer programs.

The degrees of any reducibility relation are partially ordered by the relation in the following manner.

The axiom of reducibility and the notion of "matrix"

This is essentially one-one reducibility without the constraint that f be injective.

He also expanded on the concept of reducibility and, along with Ken Durre, developed a computer test for it.