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On this page you'll find 10+ example sentences with Decidable. Discover the meaning, how to use the word correctly in a sentence.

Rare word

Decidable in a sentence

Decidable meaning

  1. capable of being decided.
  2. describing a set for which there exists an algorithm that will determine whether any element is or is not within the set in a finite amount of time.
  3. in intuitionistic logic, a proposition P is decidable in a given theory if it can be proven from the theory that "either P or not P", i.e. in symbols: P∨¬P.

Using Decidable

  • The main meaning on this page is: capable of being decided. | describing a set for which there exists an algorithm that will determine whether any element is or is not within the set in a finite amount of time. | in intuitionistic logic, a proposition P is decidable in a given theory if it can be proven from the theory that "either P or not P", i.e. in symbols: P∨¬P.
  • In the example corpus, decidable often appears in combinations such as: is decidable, decidable whether, decidable property.

Context around Decidable

  • Average sentence length in these examples: 23.5 words
  • Position in the sentence: 5 start, 8 middle, 7 end
  • Sentence types: 20 statements, 0 questions, 0 exclamations

Often before:

semi 2× theory 1× proved 1×

Often after:

property 2× namely 1× type 1× automatic 1× problems 1×

Sentence patterns with Decidable

These short patterns come directly from the example sentences and show how the word is often embedded:

already proved decidable namely his 1× any decidable type system 1× arithmetic is decidable automatic theorem 1× counterpart is decidable 1× has the decidable property of 1× is a decidable property even 1× is always decidable 1× is called decidable 1×

Sentence openings and endings

Common sentence openings:

a decision problem 1× any decidable type 1× applications because presburger 1× dale miller has 1× decidability properties given 1× for example whether 1×

Common sentence endings:

albeit unusual programs 1× counterpart is decidable 1× fully automated systems 1× going to appear 1× is always decidable 1× is called decidable 1×

Words around Decidable

Just before it in the word index:

decidability 7 decicco 2 decibels 62 decibel 61 decian 2 deci 4

Just after it in the word index:

decide 5.029 decided 13.557 decidedly 322 decidendi 2 decider 160 deciders 10

Similar in corpus frequency:

abdulkadir 35 abed 35 abhay 35 abides 35 abiotic 35 abkhazia 35

Corpus analysis for Decidable

  • In this selection, "decidable" usually appears in the middle of the sentence. The average example has 23.5 words, and this corpus slice is mostly made up of statements.
  • Around the word, semi, theory, proved, property, namely and type stand out and add context to how "decidable" is used.
  • Recognizable usage signals include already proved decidable namely his and any decidable type system. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "decidable" sits close to words such as abdulkadir, abed and abhay, which helps place it inside the broader word index.

Example types with decidable

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

Moreover, any axiomatizable and complete theory is decidable. (8 words)

However, there are many interesting special cases that are decidable. (10 words)

If this function is computable then the associated decision problem is decidable. (12 words)

Longer example sentences

It can be asked whether the game of life is decidable : whether an algorithm exists, so that given an "initial" pattern and a "later" pattern, the algorithm can tell whether, starting with the initial pattern, the later pattern is ever going to appear. (43 words)

If this problem was decidable, then language equality could be decided too: two CFGs G1 and G2 generate the same language if L(G1) is a subset of L(G2) and L(G2) is a subset of L(G1). (39 words)

It is said that unification is semi-decidable for a theory, if a unification algorithm has been devised for it that terminates for any solvable input problem, but may keep searching forever for solutions of an unsolvable input problem. (39 words)

Example sentences (20)

In 1930, he proved this theory decidable because it can be mapped into another theory he had already proved decidable, namely his first-order theory of the real numbers.

A decision problem which can be solved by an algorithm, such as this example, is called decidable.

Any decidable type system involves a trade-off: while it rejects many incorrect programs, it can also prohibit some correct, albeit unusual programs.

Applications Because Presburger arithmetic is decidable, automatic theorem provers for Presburger arithmetic exist.

Dale Miller has described what is now called higher-order pattern unification. citation This subset of higher-order unification is decidable and solvable unification problems have most-general unifiers.

Decidability properties Given two deterministic finite automata A and B, it is decidable whether they accept the same language.

For example, whether a machine runs for more than 100 steps on some input is a decidable property, even though it is non-trivial.

For the claim that F 1 is consistent has form "for all numbers n, n has the decidable property of not being a code for a proof of contradiction in F 1 ".

Advertentie

For this, it is generally required that each individual proof step can be verified by a primitive recursive function or program, and hence the problem is always decidable.

Hence it is surprising that Tarski's student Wanda Szmielew (1955) proved that the first order theory of abelian groups, unlike its nonabelian counterpart, is decidable.

However, in some cases it is possible to prove that a problem is decidable without showing an algorithm that solves it.

However, there are many interesting special cases that are decidable.

If this function is computable then the associated decision problem is decidable.

If this problem was decidable, then language equality could be decided too: two CFGs G1 and G2 generate the same language if L(G1) is a subset of L(G2) and L(G2) is a subset of L(G1).

It can be asked whether the game of life is decidable : whether an algorithm exists, so that given an "initial" pattern and a "later" pattern, the algorithm can tell whether, starting with the initial pattern, the later pattern is ever going to appear.

It is said that unification is semi-decidable for a theory, if a unification algorithm has been devised for it that terminates for any solvable input problem, but may keep searching forever for solutions of an unsolvable input problem.

Moreover, any axiomatizable and complete theory is decidable.

Most array subscript calculations then fall within the region of decidable problems.

Muchnik's theorem also allows one to prove that it is decidable whether an automatic sequence accepts a Presburger-definable set.

On the other hand, it is still semi-decidable, and a number of sound and complete calculi have been developed, enabling fully automated systems.

Advertentie

Common combinations with decidable

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "decidable" in a sentence?
An example: "In 1930, he proved this theory decidable because it can be mapped into another theory he had already proved decidable, namely his first-order theory of the real numbers." This page contains 10+ example sentences with the word "decidable" from authentic English texts.
What does "decidable" mean?
Decidable means: capable of being decided.
How many example sentences with "decidable" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "decidable", drawn from a database of millions of English sentences.