In simple precedence three relations, <· ·> and ≐, are defined on the symbols (terminal and nonterminal) of the grammar. If X <· Y, X ≐ Y, or X ·> Y
then, respectively, X is said to yield precedence to Y, have the same precedence as Y, or take precedence over Y. Note that these relations are not symmetric. By inserting the precedence relations between symbols in a sentential form and then regarding the <· and ·> symbols as matching brackets, a handle is determined as the leftmost string delimited by <· at its left end and ·> at its right end.
Operator precedence differs from simple precedence in that the three precedence relations are defined on just the terminal symbols of the grammar. Furthermore the grammar must satisfy the property that nonterminals on the right-hand side of a production must always be separated by at least one terminal.
Arithmetic expressions provided the original motivation for operator precedence since conventionally multiplication takes precedence over addition. Simple precedence is a generalization of operator precedence. Both methods are limited in the scope of their application to grammars for which at most one precedence relation exists between any ordered pair of symbols. In addition the right-hand side of productions must be unique.
"precedence parsing." A Dictionary of Computing. . Encyclopedia.com. (August 15, 2018). http://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/precedence-parsing
"precedence parsing." A Dictionary of Computing. . Retrieved August 15, 2018 from Encyclopedia.com: http://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/precedence-parsing
Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).
Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.
Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the most-recent information available at these sites:
Modern Language Association
The Chicago Manual of Style
American Psychological Association
- Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
- In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.