Download Constraint-Based Grammar Formalisms: Parsing and Type by Stuart M. Shieber PDF

By Stuart M. Shieber

Constraint-based theories of grammar and grammar formalisms have gotten an more and more frequent zone of analysis in computational linguistics. Constraint-Based Grammar Formalisms offers the 1st rigorous mathematical and computational foundation for this significant quarter. It introduces new purposes to either typical and machine languages and brings jointly Stuart Shieber's many contributions which have been on the middle of advancements starting from the invention of superior reasons of linguistic phenomena corresponding to binding and coordination to the specific mathematical research of constraint-solving and parsing in a number of grammar formalisms. This thorough exam of the theoretical and computational foundations of constraint-based grammars and functions to natural-language research is exclusive in different respects. Shieber's theoretical framework can be utilized to a complete category of formalisms with houses that give the chance to outline a common parsing set of rules for all individuals of the category, with effects that offer crucial tips to the implementer of constraint-based language processing platforms. Shieber additionally brings out new connections among grammatical different types and information varieties, and among constraint-based natural-language research and sort inference in machine languages. those connections will be of accelerating curiosity either to computational and theoretical linguists and to laptop scientists.

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Extra resources for Constraint-Based Grammar Formalisms: Parsing and Type Inference for Natural and Computer Languages

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3 A third method, based on solution of systems of set equat i ons over union and concatenation, follows from the work of Chomsky and Schutzenberger (1963). Al­ though less p revalent these days, a similar idea underlies the original semantics of PATR-II (Pereira and S hieber 1984). , , Chapter 3 54 Because of the unique character of constraint-based formalisms, a se­ mantics for a formalism based on a naive redefinition of the notion of derivation is problematic, not only because it introduces a procedural notion where one is not needed, but also because information flow in a derivation is not easily captured by working only top-down-as in a derivation---or, for that matter, only bottom-up.

1 985 ) . Our analysis seems to be the 23 Constraint Logics for Linguistic Information first rigorous formalization of the idea. Similarly, the idea is implicit in the description of ML type inference ( Milner, 1978) . Perhaps the computer science work most closely related in spirit is the recent development of constraint logic programming Lassez, 1987) . ( Jaffar and The notion of defining a class of computer languages parameterized by a constraint language ( and constraint satisfaction tech­ nique) seems completely analogous to the notion of defining a class of constraint-based formalisms parameterized by a constraint logic and op­ erations on models for formulas in the logic.

DEFINITION 9 A model M subsumes another model M ' (written M :5 M') if and only if , for all formulas «P E C, M ' F «P whenever M F «P. 6 are given in increasing subsumption order. We will require that there always be a least model ( by the subsumption ordering ) for any formula; this unique) will be used as minimal model ( which we will later prove the proxy for for mulas in computations . PROPERTY 1 0 (EXISTENCE OF MINIMAL MODELS) If «P M such that M F «P and that M' F «P, it is the case that M :5 M'.

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