how to find context free grammar for a language


What is a grammar? A grammar consists of one or more variables that represent classes of strings. (i.e., languages). There are rules that 
  • How do you find context-free grammar for a language?

    A language is context-free if it is generated by a CFG. For compactness, we write S ? 0S1 ? where the vertical bar means or. Let P be language of palindromes with alpha- bet {a,b}. One can determine a CFG for P by finding a recursive decomposition.
  • How do you find a language is regular or not?

    A language is a regular language if there is a finite automaton that recognizes it. For example, this machine recognizes the language of strings that have an even number of zeroes since any string that has an even number of zeroes will go from the start state to an accepting state.
  • Which languages are context-free?

    All regular languages are context-free languages, but not all context-free languages are regular. Most arithmetic expressions are generated by context-free grammars, and are therefore, context-free languages.
  • Steps for converting CFG into CNF

    1Step 1: Eliminate start symbol from the RHS. 2Step 2: In the grammar, remove the null, unit and useless productions. 3Step 3: Eliminate terminals from the RHS of the production if they exist with other non-terminals or terminals. 4Step 4: Eliminate RHS with more than two non-terminals.
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