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Type Logical Grammar is a framework that emerged from the synthesis of two traditions: Categorial Grammar from formal linguistics and substructural logics from logic. Grammatical composition is conceived as resource conscious logical deduction. Such a grammar is necessarily surface oriented and lexicalistic. The Curry-Howard correspondence supplies an elegant compositional mapping from syntax to semantics. Anaphora does not seem to fit well into this framework. In type logical deductions, each resource is used exactly once. Anaphora, however, is a phenomenon where semantic resources are used more than once. Generally admitting the multiple use of lexical resources is not possible because it would lead to empirical inadequacy and computational intractability. This book develops a hybrid architecture that allows to incorporate anaphora resolution into grammatical deduction while avoiding these consequences. To this end, the grammar logic is enriched with a connective that specifically deals with anaphora. After giving a self-contained introduction into Type Logical Grammar in general, the book discusses the formal properties of this connective. In the sequel, Jäger applies this machinery to numerous linguistic phenomena pertaining to the interaction of pronominal anaphora, VP ellipsis and quantification. In the final chapter, the framework is extended to indefiniteness, specificity and sluicing.
Type Logical Grammar is a framework that emerged from the synthesis of two traditions: Categorial Grammar from formal linguistics and substructural logics from logic. Grammatical composition is conceived as resource conscious logical deduction. Such a grammar is necessarily surface oriented and lexicalistic. The Curry-Howard correspondence supplies an elegant compositional mapping from syntax to semantics. Anaphora does not seem to fit well into this framework. In type logical deductions, each resource is used exactly once. Anaphora, however, is a phenomenon where semantic resources are used more than once. Generally admitting the multiple use of lexical resources is not possible because it would lead to empirical inadequacy and computational intractability. This book develops a hybrid architecture that allows to incorporate anaphora resolution into grammatical deduction while avoiding these consequences. To this end, the grammar logic is enriched with a connective that specifically deals with anaphora. After giving a self-contained introduction into Type Logical Grammar in general, the book discusses the formal properties of this connective. In the sequel, Jäger applies this machinery to numerous linguistic phenomena pertaining to the interaction of pronominal anaphora, VP ellipsis and quantification. In the final chapter, the framework is extended to indefiniteness, specificity and sluicing.
This book sets out the foundations, methodology, and practice of a formal framework for the description of language. The approach embraces the trends of lexicalism and compositional semantics in computational linguistics, and theoretical linguistics more broadly, by developing categorial grammar into a powerful and extendable logic of signs. Taking Montague Grammar as its point of departure, the book explains how integration of methods from philosophy (logical semantics), computer science (type theory), linguistics (categorial grammar) and meta-mathematics (mathematical logic ) provides a categorial foundation with coverage including intensionality, quantification, featural polymorphism, domains and constraints. For the first time, the book systematises categorial thinking into a unified program which is at once both logically secured, and a practical tool for pure lexical grammar development with type-theoretic semantics. It should be of interest to all those active in computational linguistics and formal grammar and is suitable for use at advanced undergraduate, postgraduate, and research levels.
The conference series Logical Aspects of Computational Linguistics (LACL) aims at providing a forum for the presentation and discussion of current research in all the formal and logical aspects of computational linguistics. The LACL initiative started with a workshop held in Nancy (France) in 1995. Selected papers from this event have appeared as a special issue of the Journal of Logic Language and Information, Volume 7(4), 1998. In 1996, LACL shifted to the format of an international conference. LACL’96 and ’97 were both held in Nancy (France). The proceedings appeared as volumes 1328 and 1582 of the Springer Lecture Notes in Arti cial Intelligence. This volume contains selected papers of the third international conference on Logical Aspects of Computational Linguistics (LACL’98), held in Grenoble, France, from December 14 to 16, 1998. The conference was organized by the U- versity Pierre Mend es-France (Grenoble 2) together with LORIA (Laboratoire Lorrain d’Informatique et Applications, Nancy). On the basis of 33 submitted 4-page abstracts, the Program Committee selected 19 contributions for pres- tation. In addition to the selected papers, the program featured three invited talks, by Maarten de Rijke (ILLC, Amsterdam), Makoto Kanazawa (Chiba U- versity, Japan), and Fernando Pereira (AT&T Labs). After the conference, the contributors were invited to submit a full paper for the conference proceedings.
This book constitutes the refereed proceedings of the 6th International Conference on Logical Aspects of Computational Linguistics, LACL 2011, held in Montpellier, France, in June/July 2011. The 18 revised full papers presented were carefully reviewed and selected from 31 submissions. The papers address a wide range of logical and formal methods in computational linguistics such as type-theoretic grammars, dependency grammars, formal language theory, grammatical inference, minimalism, generation, and lexical and formal semantics.
Pronouns and anaphors (including reflexives such as himself and herself) may or must depend on antecedents for their interpretation. These dependencies are subject to conditions that prima facie show substantial crosslinguistic variation. In this monograph, Eric Reuland presents a theory of how these anaphoric dependencies are represented in natural language in a way that does justice to the the variation one finds across languages. He explains the conditions on these dependencies in terms of elementary properties of the computational system of natural language. He shows that the encoding of anaphoric dependencies makes use of components of the language system that all reflect different cognitive capacities; thus the empirical research he reports on offers insights into the design of the language system. Reuland's account reduces the conditions on binding to independent properties of the grammar, none of which is specific to binding. He offers a principled account of the roles of the lexicon, syntax, semantics, and the discourse component in the encoding of anaphoric dependencies; a window into the overall organization of the grammar and the roles of linguistic and extralinguistic factors; a new typology of anaphoric expressions; a view of crosslinguistic variation (examining facts in a range of languages, from English, Dutch, Frisian, German, and Scandinavian languages to Fijian, Georgian, and Malayalam) that shows unity in diversity.
Geert-Jan Kruijff & Richard T. Oehrle A categorial grammar is both a grammar and a type inference system. As a result of this duality, the categorial framework offers a natural setting in which to study questions of grammatical composition, both empirically and abstractly. There are affinities in this perspective, of course, to basic questions in formal language theory. But the fact that categorial grammars are type in ference systems makes possible intrinsic connections among syntactic types, syntactic type inference, semantic types, and semantic type inference, a con nection less apparent in the standard constructions of formal language theory. Fixing a system of grammatical type inference T, we may explore what gram matical phenomena are compatible with T-and equally, what grammatical phenomena are not. Equally, fixing a class of grammatical phenomena g, we may seek to ascertain what systems of type inference characterize g. This dual perspective is a strong current in the categorial literature, going back to the classical papers of Ajdukiewicz, Bar-Hillel, Curry, and Lambek.
Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the refereed proceedings of the Third International Workshop on Logic, Rationality, and Interaction, LORI 2011, held in Guangzhou, China, in October 2011. The 25 revised full papers presented together with 12 posters were carefully reviewed and selected from 52 submissions. Among the topics covered are semantic models for knowledge, for belief, and for uncertainty; dynamic logics of knowledge, information flow, and action; logical analysis of the structure of games; belief revision, belief merging; logics and preferences, compact preference representation; logics of intentions, plans, and goals; logics of probability and uncertainty; logical approaches to decision making and planning; argument systems and their role in interaction; norms, normative interaction, and normative multiagent systems; and logical and computational approaches to social choice.
This book is a cross-linguistic investigation of resumptive pronouns and related phenomena. Pronominal resumption is the realization of the base of a syntactic dependency as a bound pronoun. Resumption occurs in unbounded dependencies, such as relative clauses and questions, and in the variety of raising known as copy raising. Processing factors may also give rise to resumption, even in environments where it does not normally occur in a given language. Ash Asudeh proposes a new theory of resumption based on the use of a resource logic for semantic composition and the typologically robust observation that resumptive pronouns are ordinary pronouns in their morphological and lexical properties. The framework for semantic composition is Glue Semantics and the syntactic framework is Lexical-Functional Grammar. The author introduces these frameworks and the concept of resource logics accessibly and compares results and explanations with those offered by a number of contrasting theoretical frameworks. The theory achieves a novel unification of hitherto heterogeneous resumption phenomena. It unifies two kinds of resumptive pronouns that are found in unbounded dependencies - one kind behaves syntactically like a gap, whereas the other kind does not. It also unifies resumptive pronouns in unbounded dependencies with the obligatory pronouns in copy raising. The theory also provides the basis for a new understanding of processing-based resumption, both in production and in parsing and interpretation. This book makes a substantial contribution to the understanding of the syntax-semantics interface, the nature of unbounded dependencies, and linguistic variation. It is clearly written and includes examples from a wide range of languages, such as English, Hebrew, Irish, Swedish, and Vata. It will interest researchers in syntax and semantics and its results are also relevant to computational linguistics, psycholinguistics, and the logical analysis of language. Short blurb This book is a cross-linguistic investigation of resumptive pronouns and related resumption phenomena. The author proposes a new theory of resumption based on the use of a resource logic for semantic composition and the typologically robust observation that resumptive pronouns are ordinary pronouns in their morphological and lexical properties.
This volume contains the papers presented at WoLLIC 2010: 17th Workshop on Logic, Language, Information and Computation held during July 6–9, 2010, on the campus of Universidade de Bras ́ ?lia (UnB), Brazil. The Workshop on Logic, Language, Information and Computation (WoL- LIC) is an annual event, meeting every year since 1994, which aims at fostering interdisciplinary research in pure and applied logic. The idea is to have a forum which is large enough in the number of possible interactions between logic and the sciences related to information and computation, and yet is small enough to allow for concrete and useful interaction among participants. The present volume contains 13 contributed papers that were selected from among 32 submissions after a rigorous review by the Program Committee. Each submission was reviewed by at least two, and on average three, Program C- mittee members. This volume also containspapersor abstractsthat relateto the seven invited talks presented at the workshop. Between them, these papers give a snapshot of some fascinating work taking place at the frontiers between computation, logic, and linguistics. We are grateful to all the people who made this meeting possible and are responsible for its success: the members of the Program Committee and the external reviewers, the invited speakers, the contributors, and the people who were involved in organizing the workshop.