Method to find whether a string belong to a Grammar or not
Neso Academy
11 min, 31 sec
The video explains the process of verifying if a specific string can be generated by a given grammar through an example.
Summary
- The lecturer outlines the steps needed to determine whether a particular string belongs to a given grammar.
- The process involves starting with the start symbol and choosing productions that gradually build the string.
- The example provided demonstrates the method by verifying if the string '00110101' can be generated from the given grammar's productions.
- A counterexample is also given to show a string 'aaBBB' that cannot be generated by its corresponding grammar.
Chapter 1
Introduction to the concepts of grammars and string generation from given grammars.
- The lecturer has previously discussed various types of grammars and how strings are generated from them.
- The focus is now on determining if a particular string can be generated from a given grammar.
Chapter 2
Steps to ascertain if a given string belongs to a particular grammar.
- The lecturer explains that to determine if a string belongs to a grammar, one must start with the grammar's start symbol.
- The closest matching production to the string should be chosen, replacing variables with appropriate productions until the string is generated or no productions are left.
Chapter 3
The lecturer provides an example to verify if the string '00110101' can be generated by a specific grammar.
- A grammar with productions for symbols 'S', 'A', and 'B' is provided.
- The lecturer demonstrates step-by-step how to determine if the string '00110101' belongs to the given grammar, following the method outlined earlier.
Chapter 4
A counterexample is shown where a string 'aaBBB' cannot be generated by the given grammar.
- Another example uses a grammar with productions for 'S' and 'A'.
- The lecturer shows that this grammar cannot generate the string 'aaBBB', illustrating that not all strings can be produced by a given grammar.
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