the union of a non regular language and a regular language cannot be non regular


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PDF Regular Expressions and Regular Languages

Regular Expressions are an algebraic way to describe languages • Regular Expressions describe exactly the regular languages • If E is a regular expression 

PDF Properties of Regular Languages

If L is a regular language over alphabet Σ then L = Σ∗ \ L is also regular Proof: Let L be recognized by a DFA A = (QΣ δ q0F)

  • What is a regular language?

    Regular languages are languages that can be generated from one-element languages by applying certain standard operations a finite number of times.
    They are the languages that can be recognized by finite automata.
    These simple operations include concatenation, union and kleen closure.

  • Is the union of 2 regular languages regular?

    Closure under Union
    For any regular languages L and M, then L ∪ M is regular.

  • What is difference between regular language and regular expression?

    Regular Expressions are an algebraic way to describe languages.
    Regular Expressions describe exactly the regular languages.
    If E is a regular expression, then L(E) is the regular language it defines.
    For each regular expression E, we can create a DFA A such that L(E) = L(A).

  • Regular languages are formal languages that regular expressions can describe and can also be recognized by finite automata.
    They are used to define sets of strings, such as sequences of characters or words, that follow specific patterns.30 mai 2023

In theoretical computer science and formal language theory, a regular language is a formal language that can be defined by a regular expression,  Regular expression · Regular grammar · Kleene starAutres questions
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