The Mathematics of Language (Lecture Notes in Computer Science / Theoretical Computer Science and General Issues 6149) (2010. VIII, 297 S.)

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The Mathematics of Language (Lecture Notes in Computer Science / Theoretical Computer Science and General Issues 6149) (2010. VIII, 297 S.)

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Full Description

TheAssociationforMathematicsofLanguage(MOL)istheACLspecialinterest groupdedicated to the study of MathematicalLinguistics. After its ?rst meeting in 1984, the association has been organizing meetings on a biennial basis since 1991, with locations usually alternating between Europe and the USA. This volume contains a selection of 19 papers that were presented in c- tributed talks at the 10th meeting at UCLA, Los Angeles, in 2007 and the 11th meetingattheUniversityofBielefeld,Germany,in2009. Itfurthermorecontains threepapersofinvitedspeakersfromthesemeetings. LikeeachMOLproceedings volume, this collection re?ects studies in a wide range of theoretical topics rel- ing to language and computation that the association is devoted to supporting, including papers on the intersection of computational complexity, formal l- guage theory, proof-theory, and logic as well as phonology, lexical semantics, syntax, and typology. This volume is hence of interest not only to mathem- ical linguists but to logicians, theoretical and computational linguists, and to computer scientists alike. It therefore ?ts very well in the Springer FoLLI/LNAI series and we are grateful to Michael Moortgat for suggesting this series as a place of publication.
We would furthermore like to thank everyone who played a role in making thesemeetingspossibleandhelpedtomakethemasuccess,suchasthereviewers, the invited speakers,the contributors,and the people who were involvedin local organization. May 2010 Christian Ebert Gerhard Jager .. Jens Michaelis Organization MOL10washeldattheUniversityofCalifornia,LosAngeles,duringJuly28-30, 2007. LocalOrganizers Marcus Kracht University of California, Los Angeles Gerald Penn University of Toronto Edward P.

Contents

Dependency Structures Derived from Minimalist Grammars.- Deforesting Logical Form.- On the Probability Distribution of Typological Frequencies.- A Polynomial Time Algorithm for Parsing with the Bounded Order Lambek Calculus.- LC Graphs for the Lambek Calculus with Product.- Proof-Theoretic Semantics for a Natural Language Fragment.- Some Interdefinability Results for Syntactic Constraint Classes.- Sortal Equivalence of Bare Grammars.- Deriving Syntactic Properties of Arguments and Adjuncts from Neo-Davidsonian Semantics.- On Monadic Second-Order Theories of Multidominance Structures.- The Equivalence of Tree Adjoining Grammars and Monadic Linear Context-Free Tree Grammars.- A Formal Foundation for A and A-bar Movement.- Without Remnant Movement, MGs Are Context-Free.- The Algebra of Lexical Semantics.- Phonological Interpretation into Preordered Algebras.- Relational Semantics for the Lambek-Grishin Calculus.- Intersecting Adjectives in Syllogistic Logic.- Creation Myths of GenerativeGrammar and the Mathematics of Syntactic Structures.- On Languages Piecewise Testable in the Strict Sense.- A Note on the Complexity of Abstract Categorial Grammars.- Almost All Complex Quantifiers Are Simple.- Constituent Structure Sets I.

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