What does it mean for a language not to be complete?

In summary, the conversation is discussing the concept of completeness in language classes with respect to polynomial time reduction. The question being addressed is how to show that ø and {0,1} are the only languages in P that are not complete. The context of the conversation is computer science and the subject being studied is the concept of Turing completeness. The conversation ends with the person asking for clarification on how to show that ø and {0,1} are the only languages in P that are not complete.
  • #1
S.ALGH
3
0
Anyone can explain to me What does it mean for a language not to be complete?

for example P has 2 languages are not complete for P

ø and {0,1} are not complete for P.
 
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  • #3
Then why ø and {0,1} are not complete for P (polynomial) ??
 
  • #4
What is the context of your question? What subject are you studying? Math or computer science?
 
  • #5
it is computer science, and the question is : A language L is complete for a language class C with respect to polynomial time reduction if L belongs to C and L' <=p L for all L' belong to C. Show that ø and {0,1} are the only languages in P that are not complete for P with respect to polynomial time reductions.

I started solving the question by proving that L belongs to P, but I did not understand how to show that ø and {0,1} are the only languages in P that are not complete ??
 

Related to What does it mean for a language not to be complete?

1. What is meant by a "complete" language?

A complete language is one that has a defined set of rules and vocabulary that allows for the expression of any idea or concept. This means that there are no gaps or limitations in the language that would prevent someone from fully communicating their thoughts.

2. How can a language be considered "incomplete"?

A language may be considered incomplete if it lacks certain components or features that are necessary for expressing certain ideas or concepts. This could be due to a limited vocabulary, grammatical restrictions, or cultural and societal factors that affect the language's usage.

3. Can a language be objectively determined to be "incomplete"?

No, the completeness of a language is subjective and can vary depending on the context and purpose of communication. What may be considered a complete language for one person or culture may be deemed incomplete by another.

4. How does the completeness of a language affect its speakers?

The completeness of a language can impact the ability of its speakers to fully express themselves and communicate effectively. If a language is lacking certain components, it may be difficult for speakers to accurately convey their thoughts and ideas. This can also limit their ability to understand and engage with others who use a more complete language.

5. Is it possible for a language to become more complete over time?

Yes, languages are constantly evolving and adapting to the needs of their speakers. As new ideas and concepts emerge, languages may develop new vocabulary and grammar rules to express them. Additionally, as languages come into contact with others, they may borrow words and structures to become more versatile and complete.

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