Tag: context-free languages
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Pumping Lemma in Computational Theory
The Pumping Lemma is a critical tool in computational theory used to prove whether a language is regular or context-free. This lemma provides a formal way of demonstrating that certain languages cannot be recognized by finite automata or context-free grammars. It is particularly useful for proving that a language does not belong to a specific…
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Regular and Context-Free Languages in Computational Theory
In computational theory, regular languages and context-free languages (CFLs) are two important classes of formal languages that are defined using different types of grammars and automata. These languages form the foundation for understanding computational complexity, language processing, and parsing. Both regular and context-free languages are widely used in various areas such as compiler design, natural…
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Pushdown Automata in Computational Theory
A Pushdown Automaton (PDA) is a more powerful extension of the finite automaton (FA) used in computational theory to recognize a broader class of languages. Unlike finite automata, which are limited to recognizing regular languages, pushdown automata can recognize context-free languages (CFLs). The primary distinguishing feature of a PDA is its use of a stack,…
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Context-Free Grammar in Computational Theory
Context-free grammar (CFG) is a formal system used in computational theory to define the syntax of programming languages, natural languages, and other formal languages. It provides a set of production rules that describe how strings in a language can be generated. CFG is fundamental to parsing and language recognition, forming the backbone of compilers, interpreters,…