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  2. Memoization - Wikipedia

    en.wikipedia.org/wiki/Memoization

    When a top-down parser tries to parse an ambiguous input with respect to an ambiguous context-free grammar (CFG), it may need an exponential number of steps (with respect to the length of the input) to try all alternatives of the CFG in order to produce all possible parse trees. This eventually would require exponential memory space.

  3. Bottom-up parsing - Wikipedia

    en.wikipedia.org/wiki/Bottom-up_parsing

    Left corner parsing is a hybrid method that works bottom-up along the left edges of each subtree, and top-down on the rest of the parse tree. If a language grammar has multiple rules that may start with the same leftmost symbols but have different endings, then that grammar can be efficiently handled by a deterministic bottom-up parse but ...

  4. 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).

  5. CYK algorithm - Wikipedia

    en.wikipedia.org/wiki/CYK_algorithm

    It employs bottom-up parsing and dynamic programming. The standard version of CYK operates only on context-free grammars given in Chomsky normal form (CNF). However any context-free grammar may be algorithmically transformed into a CNF grammar expressing the same language ( Sipser 1997 ).

  6. Bottom-up and top-down design - Wikipedia

    en.wikipedia.org/wiki/Bottom-up_and_top-down_design

    Bottom-up parsing is parsing strategy that recognizes the text's lowest-level small details first, before its mid-level structures, and leaves the highest-level overall structure to last. [3] In top-down parsing , on the other hand, one first looks at the highest level of the parse tree and works down the parse tree by using the rewriting rules ...

  7. LR parser - Wikipedia

    en.wikipedia.org/wiki/LR_parser

    Bottom-up parse tree built in numbered steps. An LR parser scans and parses the input text in one forward pass over the text. The parser builds up the parse tree incrementally, bottom up, and left to right, without guessing or backtracking. At every point in this pass, the parser has accumulated a list of subtrees or phrases of the input text ...

  8. Shift-reduce parser - Wikipedia

    en.wikipedia.org/wiki/Shift-Reduce_Parser

    A shift-reduce parser is a class of efficient, table-driven bottom-up parsing methods for computer languages and other notations formally defined by a grammar. The parsing methods most commonly used for parsing programming languages , LR parsing and its variations, are shift-reduce methods. [ 1 ]

  9. LALR parser - Wikipedia

    en.wikipedia.org/wiki/LALR_parser

    As with other types of LR parsers, an LALR parser is quite efficient at finding the single correct bottom-up parse in a single left-to-right scan over the input stream, because it does not need to use backtracking. Being a lookahead parser by definition, it always uses a lookahead, with LALR(1) being the most-common case.