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Office, E.E. Classic Expression Grammar. Encyclopedia. Available online: https://encyclopedia.pub/entry/60760 (accessed on 23 October 2026).
Office EE. Classic Expression Grammar. Encyclopedia. Available at: https://encyclopedia.pub/entry/60760. Accessed October 23, 2026.
Office, Encyclopedia Editorial. "Classic Expression Grammar" Encyclopedia, https://encyclopedia.pub/entry/60760 (accessed October 23, 2026).
Office, E.E. (2026, October 10). Classic Expression Grammar. In Encyclopedia. https://encyclopedia.pub/entry/60760
Office, Encyclopedia Editorial. "Classic Expression Grammar." Encyclopedia. Web. 10 October, 2026.

Classic Expression Grammar

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In formal grammar and compiler theory, a classic expression grammar is a context-free grammar that specifies the syntactic structure of arithmetic expressions by separating expression components into grammatical categories corresponding to different operator-precedence levels [1]. In its conventional form, the grammar distinguishes expressions involving addition and subtraction, terms involving multiplication and division, and factors involving parenthesized expressions or operands. This hierarchical organization encodes operator precedence and, through recursive production rules, associativity, allowing expressions to be parsed into a structured representation without treating all operators as having equal precedence [1]. The term refers to a grammar used to describe expression syntax, rather than to a general theory of natural-language grammar.

context-free grammar operator precedence associativity expression parsing
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References

  1. Cooper, Keith D., and Linda Torczon. Engineering a Compiler; Elsevier: Amsterdam, NX, Netherlands, 2022. [CrossRef]
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Entry Collection: Language and Linguistics
Revisions: 2 times (View History)
Update Date: 22 Oct 2026
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