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  2. Synchronous context-free grammar - Wikipedia

    en.wikipedia.org/wiki/Synchronous_context-free...

    Synchronous context-free grammars (SynCFG or SCFG; not to be confused with stochastic CFGs) are a type of formal grammar designed for use in transfer-based machine translation. Rules in these grammars apply to two languages at the same time, capturing grammatical structures that are each other's translations.

  3. Shift rule - Wikipedia

    en.wikipedia.org/wiki/Shift_rule

    Printable version; In other projects ... The shift rule is a mathematical rule for sequences and series. Here and are ... additional terms may apply.

  4. Probabilistic context-free grammar - Wikipedia

    en.wikipedia.org/wiki/Probabilistic_context-free...

    A weighted context-free grammar (WCFG) is a more general category of context-free grammar, where each production has a numeric weight associated with it. The weight of a specific parse tree in a WCFG is the product [7] (or sum [8]) of all rule weights in the tree. Each rule weight is included as often as the rule is used in the tree.

  5. Lexicographic order - Wikipedia

    en.wikipedia.org/wiki/Lexicographic_order

    That is, the elements of the monoid are the finite sequences (words) of elements of A (including the empty sequence, of length 0), and the operation (multiplication) is the concatenation of words. A word u is a prefix (or 'truncation') of another word v if there exists a word w such that v = uw .

  6. Arithmetic progression - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_progression

    For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2. If the initial term of an arithmetic progression is and the common difference of successive members is , then the -th term of the sequence is given by

  7. Production (computer science) - Wikipedia

    en.wikipedia.org/wiki/Production_(computer_science)

    A production or production rule in computer science is a rewrite rule specifying a symbol substitution that can be recursively performed to generate new symbol sequences. A finite set of productions P {\displaystyle P} is the main component in the specification of a formal grammar (specifically a generative grammar ).