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  2. Operator-precedence parser - Wikipedia

    en.wikipedia.org/wiki/Operator-precedence_parser

    In computer science, an operator-precedence parser is a bottom-up parser that interprets an operator-precedence grammar.For example, most calculators use operator-precedence parsers to convert from the human-readable infix notation relying on order of operations to a format that is optimized for evaluation such as Reverse Polish notation (RPN).

  3. Operator-precedence grammar - Wikipedia

    en.wikipedia.org/wiki/Operator-precedence_grammar

    An operator precedence parser usually does not store the precedence table with the relations, which can get rather large. Instead, precedence functions f and g are defined. [ 7 ] They map terminal symbols to integers, and so the precedence relations between the symbols are implemented by numerical comparison: ⁠ f ( a ) < g ( b ...

  4. Simple precedence parser - Wikipedia

    en.wikipedia.org/wiki/Simple_precedence_parser

    Compute the Wirth–Weber precedence relationship table for a grammar with initial symbol S. Initialize a stack with the starting marker $. Append an ending marker $ to the string being parsed (Input). Until Stack equals "$ S" and Input equals "$" Search the table for the relationship between Top(stack) and NextToken(Input)

  5. Common operator notation - Wikipedia

    en.wikipedia.org/wiki/Common_operator_notation

    The operator precedence is a number (from high to low or vice versa) that defines which operator takes an operand that is surrounded by two operators of different precedence (or priority). Multiplication normally has higher precedence than addition, [ 1 ] for example, so 3+4×5 = 3+(4×5) ≠ (3+4)×5.

  6. LALR parser - Wikipedia

    en.wikipedia.org/wiki/LALR_parser

    Parsing Simulator This simulator is used to generate parsing tables LALR and resolve the exercises of the book. JS/CC JavaScript based implementation of a LALR(1) parser generator, which can be run in a web-browser or from the command-line. LALR(1) tutorial at the Wayback Machine (archived May 7, 2021), a flash card-like tutorial on LALR(1 ...

  7. Operator associativity - Wikipedia

    en.wikipedia.org/wiki/Operator_associativity

    The associativity and precedence of an operator is a part of the definition of the programming language; different programming languages may have different associativity and precedence for the same type of operator. Consider the expression a ~ b ~ c. If the operator ~ has left associativity, this expression would be interpreted as (a ~ b) ~ c.

  8. Merge (linguistics) - Wikipedia

    en.wikipedia.org/wiki/Merge_(linguistics)

    Together they express three irreducible structural properties of all human languages: dominance (constituents are organized in a hierarchical fashion); labelling (constituents differ in type, i.e. category); linear precedence (constituents are ordered relative to each other). The labelled hierarchical structure along with the string of elements ...

  9. Wirth–Weber precedence relationship - Wikipedia

    en.wikipedia.org/wiki/Wirth–Weber_precedence...

    The relationship is named after computer scientists Niklaus Wirth and Helmut Weber. The goal is to identify when the viable prefixes have the pivot and must be reduced. A ⋗ {\displaystyle \gtrdot } means that the pivot is found, a ⋖ {\displaystyle \lessdot } means that a potential pivot is starting, and a ≐ {\displaystyle \doteq } means ...