A study of the contribution semantics makes to the syntactic patterns of English: an intepretive theory of grammar.

Combinatory logic and lambda-conversion were originally devised in the 1920s for investigating the foundations of mathematics using the basic concept of 'operation' instead of 'set'. They have now developed into linguistic tools, useful in several branches of logic and computer science, especially in the study of programming languages. These notes form a simple introduction to the two topics, suitable for a reader who has no previous knowledge of combinatory logic, but has taken an undergraduate course in predicate calculus and recursive (...) functions. The key ideas and basic results are presented, as well as a number of more specialised topics, and man), exercises are included to provide manipulative practice. (shrink)

In Groenendijk & Stokhof [1989] a system of dynamic predicate logic (DPL) was developed, as a compositional alternative for classical discourse representation theory (DRT ). DPL shares with DRT the restriction of being a first-order system. In the present paper, we are mainly concerned with overcoming this limitation. We shall define a dynamic semantics for a typed language with λ-abstraction which is compatible with the semantics DPL specifies for the language of first-order predicate logic. We shall propose to use this (...) new logical system as the semantic component of a Montague-style grammar (referred to as dynamic Montague grammar, DMG), which will enable us to extend the compositionality of DPL to the subsentential level. Furthermore, we shall extend this analysis also in this sense that we shall add new, dynamic interpretations for logical constants which in DPL were treated in a static fashion. This will substantially increase the descriptive coverage of DMG. (shrink)

A principal goal of this book is to develop and apply the Situation Semantics framework. Jean Mark Gawron and Stanley Peters adopt a version of the theory in which meanings are built up via syntactically driven semantic composition rules. They provide a substantial treatment of English incorporating treatments of pronomial anaphora, quantification, donkey anaphora, and tense. The book focuses on the semantics of pronomial anaphora and quantification. The authors argue that the ambiguities of sentences with pronouns cannot be adequately accounted (...) for with a theory that represents anaphoric relations only syntactically; their relational framework uniformly deals with anaphoric relations as relations between utterances in context. They argue that there is no need for a syntactic representation of anaphoric relations, or for a theory that accounts for anaphoric ambiguities by resorting to two or more kinds of anaphora. Quantifier scope ambiguities are handled analogously to anaphoric ambiguities. This treatment integrates the Cooper Store mechanism with a theory of meaning that provides both a natural setting for it and a convincing account of what, semantically, is going on. Jean Mark Gawron is a researcher for Hewlett Packard Laboratories, Palo Alto. Stanley Peters is professor of linguistics and symbolic systems at Stanford University and is director of the Center for the Study of Language and Information. (shrink)

The format of this book is unusual, especially for a book about linguistics. The book is meant primarily as a research monograph aimed at linguists who have some background in formal semantics, e. g. Montague Grammar. However, I have two other audiences in mind. Linguists who have little or no experience of formal semantics, but who have worked through a basic mathematics for linguists course (e. g. using Wall, 1972, or Partee, 1978), should, perhaps with the help of a sympathetic (...) Montague gramma rian, be able to discover enough of how I have adapted some of the basic ideas in formal semantics to make the developments that I undertake in the rest of the book accessible. Logicians and computer scientists who know about model theoretic semantics and formal systems should be able to glean enough from Chapters I and II about linguistic concerns and techniques to be able to read the remainder of the book, again possibly with the help of a sympathetic Montague grammarian. However, readers should beware. Chapter II is not meant as a general introduction either to formal semantics or to linguistics and while much of the presentation there is going over ground that is already well covered in the literature, the particular formulation and the emphases are very much oriented to the developments to be undertaken later in the book. (shrink)