By building context-free grammars for actual languages and applying statistical inference, it's possible for a computer to recover the likely meaning of a sentence.

Through a similar process to converting a regular expression into an NFA, you may apply this proof to convert a regular expression into a context-free grammar, thus concluding the proof …

Jul 23, 2025 · In the computer science field, context-free grammars are frequently used, especially in the areas of formal language theory, compiler development, and natural language …

In a context-free grammar G, if there is a production in the form X → Xa where X is a non-terminal and a is a string of terminals, it is called a left recursive production.

We call these grammars context free because every rule has just a single nonterminal on its left. We can’t add any contextual restrictions (such as aAa). So each replacement is done …

Let us show that, vice versa, for each pushdown automaton, there exists a context-free grammar that generates exactly the words accepted by the given automaton.

Context-Free Grammars (CFGs) are used to describe the syntax of Context-Free Languages (CFLs). CFGs consist of variables, terminals, production rules, and a start symbol.

If a grammar G is context-free, we can build an equivalent nondeterministic PDA which accepts the language that is produced by the context-free grammar G. A parser can be built for the …

Let G = (V; ; R; T) be a context-free grammar for A. Define b to be the maximum number of symbols in the right-hand side of a rule. Observe that a parse tree of height h has at most bh …

We study a sequence of restrictions that limit grammars first to Turing machines, then to two types of systems from which a phrase structure description of a generated language can be drawn, …