Categorial Grammar: Logical Syntax, Semantics, and - download pdf or read online

By Glyn V. Morrill

ISBN-10: 0199589852

ISBN-13: 9780199589852

ISBN-10: 0199589860

ISBN-13: 9780199589869

This ebook presents a state of the art advent to categorial grammar, one of those formal grammar which analyzes expressions as features or based on a function-argument courting. The book's concentration is on linguistic, computational, and psycholinguistic facets of logical categorial grammar, i.e. enriched Lambek Calculus. Glyn Morrill opens with the historical past and notation of Lambek Calculus and its program to syntax, semantics, and processing. Successive chapters expand the grammar to a few major syntactic and semantic houses of average language. the ultimate half applies Morrill's account to numerous present matters in processing and parsing, thought of from either a mental and a computational standpoint. The ebook bargains a rigorous and considerate examine of 1 of the most strains of analysis within the formal and mathematical conception of grammar, and should be compatible for college kids of linguistics and cognitive technological know-how from complicated undergraduate point upwards.

Show description

Read Online or Download Categorial Grammar: Logical Syntax, Semantics, and Processing PDF

Best intelligence & semantics books

Download PDF by Yi Lin: General systems theory: a mathematical approach

Provides a suite of similar purposes and a theoretical improvement of a basic platforms conception. starts off with ancient historical past, the fundamental positive factors of Cantor's naive set idea, and an creation to axiomatic set idea. the writer then applies the idea that of centralizable platforms to sociology, makes use of the trendy structures concept to retrace the heritage of philosophical difficulties, and generalizes Bellman's precept of optimality.

Get Bayesian Nets and Causality: Philosophical and Computational PDF

Bayesian nets are widespread in man made intelligence as a calculus for informal reasoning, permitting machines to make predictions, practice diagnoses, take judgements or even to find informal relationships. yet many philosophers have criticized and finally rejected the primary assumption on which such paintings is based-the causal Markov .

Cognitive Computing and Big Data Analytics - download pdf or read online

A finished advisor to studying applied sciences that free up the worth in large info Cognitive Computing offers distinct information towards construction a brand new category of platforms that research from adventure and derive insights to liberate the worth of massive information. This booklet is helping technologists comprehend cognitive computing's underlying applied sciences, from wisdom illustration ideas and average language processing algorithms to dynamic studying techniques in keeping with amassed facts, instead of reprogramming.

Additional resources for Categorial Grammar: Logical Syntax, Semantics, and Processing

Sample text

16. Natural deduction for the Lambek calculus with semantic annotation If we annotate natural deduction assumptions with (distinct) variables, the semantic annotation built up at the root of a proof represents its derivational semantics. However, in natural deduction we may annotate open assumptions with their lexical semantics and then build up (and possibly normalize) semantics as we work from leaves to root. For example: (30) John N:j loves Mary (N\S)/N : love N:m N\S : (love m) S : ((love m) j) (31) the E\ cat N/CN : È CN : cat N : (È cat) E/ slept N\S : slept S : (slept (È cat)) (32) E/ loves E\ himself John (N\S)/N : love ((N\S)/N)\(N\S) : ÎxÎy((x y) y) N:j N\S : (ÎxÎy((x y) y) love) = Îy((love y) y) S : (Îy((love y) y) j) = ((love j) j) E\ E\ 44 lambek categorial grammar Categorial grammar handles subcategorization, that is the classification of the categorial contexts in which expressions expect to find themselves, quite naturally.

Logical constants constant type constraint ¬ ∧ ∨ → = ∀ ∃ È t→t t → (t → t) t → (t → t) t → (t → t) e → (e → t) (e → t) → t (e → t) → t (e → t) → e f (¬)(m) = m{∅} f (∧)(m)(m ) = m ∩ m f (∨)(m)(m ) = m ∪ m f (→)(m)(m ) = m{∅} ∪ m f (=)(m)(m ) = {∅} if m = m else ∅ f (∀)(m) = m ∈d(e) m(m ) f (∃)(m) = m ∈d(e) m(m ) f (È)({m}) = m |x| = x for individual variable x |a| = a for individual constant a | f (t 0 , . . , t n )| = (· · · ( f |t 0 |) · · · |t n |) |P t 1 . . 13. 1. There is the translation | · | given in Fig.

Z n )] where T (X) = Ù1 → · · · → Ùn → t. Something further would be required for group readings of conjunction, and there are complications with agreement in subject noun phrase coordination in, for example, John (m) or Mary (f) arrived and John (sg) and Mary (sg) are/*is arriving, but we leave these issues aside here. As is also well-known, this generalized coordination extends automatically in combinatory categorial grammar to coordination of non-standard constituents as in right node raising (John likes and Mary dislikes linguistics) and left node raising (John saw Bill yesterday and Mary today) (Steedman 1985; 1987; Dowty 1988).

Download PDF sample

Categorial Grammar: Logical Syntax, Semantics, and Processing by Glyn V. Morrill

by David

Rated 4.02 of 5 – based on 20 votes