pumping lemma वाक्य
उदाहरण वाक्य
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- There exists a Pumping lemma for context-free languages.
- The proof of the pumping lemma is actually pretty simple.
- :I'm guessing you mean the pumping lemma for regular languages.
- As there are no strings of this length the pumping lemma is not violated.
- To prove that a given language is not context-free, one may employ the pumping lemma for context-free languages
- By the pumping lemma, there exists an integer " p " which is the pumping length of language " L ".
- Finite languages trivially satisfy the pumping lemma by having " p " equal to the maximum string length in " L " plus one.
- The language can easily be shown to be neither context free by applying the respective pumping lemmas for each of the language classes to " L ".
- This process of " pumping up " additional copies of " v " and " x " is what gives the pumping lemma its name.
- This grammar generates the language \ { a ^ n b ^ n : n \ ge 1 \ }, which is not regular ( according to the pumping lemma for regular languages ).
- A more general form of this result is called the Pumping lemma for regular languages, which can be used to show that broad classes of languages cannot be recognized by a finite state machine.
- The set of all infinite words over " A " whose " b " form blocks of prime length is not sofic ( this can be shown by using the pumping lemma ).
- Finite languages ( which are regular and hence context-free ) obey the pumping lemma trivially by having " p " equal to the maximum string length in " L " plus one.
- Moreover, the pumping lemma guarantees that the length of " xy " will be at most " p ", imposing a limit on the ways in which " w " may be split.
- The paper's contribution lies in its proof of a probabilistic generalization of the pumping lemma, a device used in theoretical computer science as a necessary condition for a language to be described by only a finite number of states.
- I remember spending a few hours on one pumping lemma problem once and finally finding a complicated but correct counterexample . ( The prof . hadn't intended the question to be so hard and replaced it after I had completed it.
- Are there examples of languages which can be proven to be non-CFLs with Ogden's lemma, but not with the pumping lemma and closure of CFLs under regular intersection and gsm mappings ?-- talk ) 10 : 51, 13 June 2011 ( UTC)
- The pumping lemma is often used to prove that a given language " L " is non-context-free, by showing that arbitrarily long strings " s " are in " L " that cannot be " pumped " without producing strings outside " L ".
- :How to " solve a proof " is a bit vague, but I think you mean to ask how one uses the pumping lemma to show that a given language is " not " regular . ( The pumping lemma doesn't show a language " is " regular; it can only be used to prove that no finite state automaton can accept a particular language, for if one existed, the pumping lemma would apply . ) These lecture notes are decent and provide a number of examples starting at " Applications ".
- :How to " solve a proof " is a bit vague, but I think you mean to ask how one uses the pumping lemma to show that a given language is " not " regular . ( The pumping lemma doesn't show a language " is " regular; it can only be used to prove that no finite state automaton can accept a particular language, for if one existed, the pumping lemma would apply . ) These lecture notes are decent and provide a number of examples starting at " Applications ".
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