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Ambiguous grammar information


In computer science, an ambiguous grammar is a context-free grammar for which there exists a string that can have more than one leftmost derivation or parse tree.[1] Every non-empty context-free language admits an ambiguous grammar by introducing e.g. a duplicate rule. A language that only admits ambiguous grammars is called an inherently ambiguous language. Deterministic context-free grammars are always unambiguous, and are an important subclass of unambiguous grammars; there are non-deterministic unambiguous grammars, however.

For computer programming languages, the reference grammar is often ambiguous, due to issues such as the dangling else problem. If present, these ambiguities are generally resolved by adding precedence rules or other context-sensitive parsing rules, so the overall phrase grammar is unambiguous.[citation needed] Some parsing algorithms (such as (Earley[2] or GLR parsers) can generate sets of parse trees (or "parse forests") from strings that are syntactically ambiguous.[3]

  1. ^ Willem J. M. Levelt (2008). An Introduction to the Theory of Formal Languages and Automata. John Benjamins Publishing. ISBN 978-90-272-3250-2.
  2. ^ Scott, Elizabeth (April 1, 2008). "SPPF-Style Parsing From Earley Recognizers". Electronic Notes in Theoretical Computer Science. 203 (2): 53–67. doi:10.1016/j.entcs.2008.03.044.
  3. ^ Tomita, Masaru. "An efficient augmented-context-free parsing algorithm." Computational linguistics 13.1-2 (1987): 31-46.

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Ambiguous grammar

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In computer science, an ambiguous grammar is a context-free grammar for which there exists a string that can have more than one leftmost derivation or...

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Dangling else

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results in nested conditionals being ambiguous. Formally, the reference context-free grammar of the language is ambiguous, meaning there is more than one correct...

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Syntactic ambiguity

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Syntactic ambiguity, also known as structural ambiguity, amphiboly, or amphibology, is characterized by the potential for a sentence to yield multiple...

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Ambiguity

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see Ambiguous grammar. Usually, semantic and syntactic ambiguity go hand in hand. The sentence "We saw her duck" is also syntactically ambiguous. Conversely...

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Grammar

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Grammar designated 4 March as National Grammar Day in 2008. Ambiguous grammar Constraint-based grammar Grammeme Harmonic Grammar Higher order grammar...

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Parsing expression grammar

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context-free grammars (CFGs), but they have a different interpretation: the choice operator selects the first match in PEG, while it is ambiguous in CFG. This...

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Formal grammar

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Adaptive grammar Ambiguous grammar Backus–Naur form (BNF) Categorial grammar Concrete syntax tree Extended Backus–Naur form (EBNF) Grammar Grammar framework...

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Parser combinator

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of ambiguous programming languages, which are not reported at compile-time, and which are introduced not by human error, but by ambiguous grammar. The...

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LR parser

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parses for ambiguous grammars such as for human languages. While LR(k) grammars have equal generative power for all k≥1, the case of LR(0) grammars is slightly...

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Recursive descent parser

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The LL(k) grammars therefore exclude all ambiguous grammars, as well as all grammars that contain left recursion. Any context-free grammar can be transformed...

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Semantic ambiguity

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semantically ambiguous when it can have multiple meanings. The higher the number of synonyms a word has, the higher the degree of ambiguity. Like other...

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CYK algorithm

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conveniently be read as an ambiguous grammar generating only the sentence parsed, but with the same ambiguity as the original grammar, and the same parse trees...

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Chart parser

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science, a chart parser is a type of parser suitable for ambiguous grammars (including grammars of natural languages). It uses the dynamic programming approach—partial...

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Parsing

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require exponential time and space complexity while parsing ambiguous context-free grammars, more sophisticated algorithms for top-down parsing have been...

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Polysemy

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property of being in possession of a car). Amphiboly Aberrant decoding Ambiguous grammar Dog-whistle politics Essentially contested concept Heterosemy Homograph...

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Stochastic parrot

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language should do.  Further, LLMs often fail to decipher complex or ambiguous grammar cases that rely on understanding the meaning of language. As an example...

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GLR parser

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extension of an LR parser algorithm to handle non-deterministic and ambiguous grammars. The theoretical foundation was provided in a 1974 paper by Bernard...

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Equivocation

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an argument. It is a type of ambiguity that stems from a phrase having two or more distinct meanings, not from the grammar or structure of the sentence...

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Nonsense verse

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And the mome raths outgrabe. Other nonsense verse uses muddled or ambiguous grammar as well as invented words, as in John Lennon's "The Faulty Bagnose":...

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Left recursion

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general context-free grammars by use of curtailment. In 2006, Frost and Hafiz described an algorithm which accommodates ambiguous grammars with direct left-recursive...

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Spirit Parser Framework

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is a backtracking LL(∞) parser that is capable of parsing rather ambiguous grammars. Spirit can be used for both lexing and parsing, together or separately...

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Dutch grammar

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outlines the grammar of the Dutch language, which shares strong similarities with German grammar and also, to a lesser degree, with English grammar. Vowel length...

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Function word

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(also called functors) are words that have little lexical meaning or have ambiguous meaning and express grammatical relationships among other words within...

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SLR grammar

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spurious, a result of the approximate calculation using Follow(A). A grammar which is ambiguous will have unavoidable shift/reduce conflicts or reduce/reduce...

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