Constraints On Numerical Expressions
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Constraints on Numerical Expressions
This book considers how expressions involving number are used by speakers and understood by hearers. A speaker's choice of expression can be a complex problem even in relatively simple-looking domains. In the case of numerical expressions, there are often many choices that would be semantically acceptable: for instance, if 'more than 200' is true, then so is 'more than 199', 'more than 150', and 'more than 100', among others. A speaker does not choose between these options arbitrarily but also does not consistently follow any simple rule. The hearer is interested not just in what has been said but also in any further inferences that can be drawn. Chris Cummins offers a set of criteria that individually influence the speaker's choice of expression. The process of choosing what to say is then treated as a problem of multiple constraint satisfaction. This approach enables multiple different considerations, drawn from principles of semantics, philosophy, psycholinguistics and the psychology of number, simultaneously to be integrated within a single coherent account. This constraint-based model offers novel predictions about usage and interpretation that are borne out experimentally and in corpus research. It also explains problematic data in numerical quantification that have previously been handled by more stipulative means, and offers a potential line of attack for addressing the problem of the speaker's choice in more general linguistic environments.
Constraint Solving and Language Processing
The Constraint Solving and Language Processing (CSLP) workshop considers the role of constraints in the representation of language and the implementation of language processing applications. This theme should be interpreted inclusively: it includes contributions from linguistics, computer science, psycholinguistics and related areas, with a particular interest in interdisciplinary perspectives. Constraints are widely used in linguistics, computer science, and psychology. How they are used, however, varies widely according to the research domain: knowledge representation, cognitive modelling, problem solving mechanisms, etc. These different perspectives are complementary, each one adding a piece to the puzzle.
The NCL Natural Constraint Language
Author: Jianyang Zhou
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-09
"The NCL Natural Constraint Language" presents the NCL language which is a description language in conventional mathematical logic for modeling and solving constraint satisfaction problems. NCL differs from other declarative languages: It models problems naturally in a simplified form of first-order logic with quantifiers, Boolean logic, numeric constraints, set operations and logical functions; it solves problems by mixed set programming over the mixed domain of real numbers, integers, Booleans, dates/times, references, and in particular sets. The book uses plenty of examples and tutorials to illustrate NCL and its applications. It is intended for researchers and developers in the fields of logic programming, constraint programming, optimization, modeling, operations research and artificial intelligence, who will learn from a new programming language and theoretical foundations for industrial applications. Dr. Jianyang Zhou is the inventor of NCL and has worked for its industrialization for more than 10 years.