Conversion of Context-Free Language to Context-Free Grammar - Mrs. N. Senthamilarasi

Welcome to this lecture on Conversion of Context Free Language to Context Free Grammar. In this lecture, we will discuss the Introduction to Context free Grammar and Context free language and then we will see the 3 problems related to the conversion of context free language to context free grammar Context-Free Grammar (CFG) A Context-Free Grammar (CFG) A context-free grammar (CFG) consisting of a finite set of grammar rules is a quadruple. G= (N, T, P, S) where: Where, N is a set of non-terminal symbols. T is a set of terminals where N ∩ T = NULL. P is a set of rules, P: N → (N ∪ T)*, i.e., the left-hand side of the production rule P does have any right context or left context. S is the start symbol. The defining characteristic of a context-free grammar is that the left-hand side of each production rule consists of a single non-terminal symbol. This makes CFGs powerful for describing languages with hierarchical or nested structures, such as programming languages and mathematical expressions. Context Free Language (CFL) A Context-Free Language (CFL) is a language that can be generated by a context-free grammar. These languages are recognized by pushdown automata, which are computational models that can use a stack for memory. CFLs include many programming languages and certain types of formal languages like arithmetic expressions and balanced parentheses. Conversion of Context Free Language to Context Free Grammar Converting a Context-Free Language (CFL) into a Context-Free Grammar involves constructing a CFG that generates exactly the strings of the language. The process typically involves: 1. Identifying the structure of the language: This includes understanding the recursive patterns, such as balanced parentheses or nested constructs. 2. Defining non-terminals: Non-terminals represent parts of the structure (e.g., expressions, statements). 3. Creating production rules: These rules specify how non-terminals can be expanded into terminal symbols or other non-terminals, following the language's syntax. 4. Specifying the start symbol: The start symbol is chosen based on the language's starting point. #sist #sathyabama #contextfreegrammar #contextfreelanguage #terminals #nonterminals #productionrules #startsymbol