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Context-free language. In formal language theory, a context-free language ( CFL ), also called a Chomsky type-2 language, is a language generated by a context-free grammar (CFG). Context-free languages have many applications in programming languages, in particular, most arithmetic expressions are generated by context-free grammars.
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In computer science, in particular in formal language theory, the pumping lemma for context-free languages, also known as the Bar-Hillel lemma, [1] is a lemma that gives a property shared by all context-free languages and generalizes the pumping lemma for regular languages . The pumping lemma can be used to construct a proof by contradiction ...
Context-free grammar. Simplified excerpt of the formal grammar [1] for the C programming language (left), and a derivation of a piece of C code (right) from the nonterminal symbol . Nonterminal symbols are blue and terminal symbols are red. In formal language theory, a context-free grammar ( CFG) is a formal grammar whose production rules can ...
On the other hand, with two types of parens, n bits can only work up to a depth of n. This is a true context free grammar, it can't be approximated well by a regular grammar, since you need to push the type onto the stack. The languages of interest, natural and computer languages, are true context free grammars.
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In anthropology, high-context culture and low-context culture are ends of a continuum of how explicit the messages exchanged in a culture are and how important the context is in communication. The distinction between cultures with high and low contexts is intended to draw attention to variations in both spoken and non-spoken forms of ...
In formal language theory, deterministic context-free languages ( DCFL) are a proper subset of context-free languages. They are the context-free languages that can be accepted by a deterministic pushdown automaton. DCFLs are always unambiguous, meaning that they admit an unambiguous grammar. There are non-deterministic unambiguous CFLs, so ...