Elements Of Formal Semantics

In five short chapters, this introductory textbook introduces some of the most essential principles and techniques of formal semantics.

Introducing some of the foundational concepts, principles and techniques in the formal semantics of natural language, Elements of Formal Semantics outlines the mathematical principles that underlie linguistic meaning. Making use of a wide range of concrete English examples, the book presents the most useful tools and concepts of formal semantics in an accessible style and includes a variety of practical exercises so that readers can learn to utilise these tools effectively. For readers with an elementary background in set theory and linguistics or with an interest in mathematical modelling, this fascinating study is an ideal introduction to natural language semantics. Designed as a quick yet thorough introduction to one of the most vibrant areas of research in modern linguistics today this volume reveals the beauty and elegance of the mathematical study of meaning.

This book is an introduction to the current developments in model-theoretic semantics, which has become an essential part of the work in theoretical linguistics over the last decade. The author examines the model structure of Montague's theory and then presents elaborations on this basic model that have been of particular importance in the last few years: generalized quantifiers, the introduction of more structure in the domain of individuals, properties as primitive elements in the model, situations and similar 'smaller' worldlike entities. Nothing is presupposed about knowledge of the mathematical and logical tools used in formal semantics, and Bach presents the informal with a minimum of formalism.

Introducing some of the foundational concepts, principles and techniques in the formal semantics of natural language, Elements of Formal Semantics outlines the mathematical principles that underlie linguistic meaning. Making use of a wide range of concrete English examples, the book presents the most useful tools and concepts of formal semantics in an accessible style and includes a variety of practical exercises so that readers can learn to utilise these tools effectively. For readers with an elementary background in set theory and linguistics or with an interest in mathematical modelling, this fascinating study is an ideal introduction to natural language semantics. Designed as a quick yet thorough introduction to one of the most vibrant areas of research in modern linguistics today this volume reveals the beauty and elegance of the mathematical study of meaning.

It is recognized that formal design and verification methods are an important requirement for the attainment of high quality system designs. The field has evolved enormously during the last few years, resulting in the fact that formal design and verification methods are nowadays supported by several tools, both commercial and academic. If different tools and users are to generate and read the same language then it is necessary that the same semantics is assigned by them to all constructs and elements of the language. The current IEEE standard VHDL language reference manual (LRM) tries to define VHDL as well as possible in a descriptive way, explaining the semantics in English. But rigor and clarity are very hard to maintain in a semantics defined in this way, and that has already given rise to many misconceptions and contradictory interpretations. Formal Semantics for VHDL is the first book that puts forward a cohesive set of semantics for the VHDL language. The chapters describe several semantics each based on a different underlying formalism: two of them use Petri nets as target language, and two of them higher order logic. Two use functional concepts, and finally another uses the concept of evolving algebras. Formal Semantics for VHDL is essential reading for researchers in formal methods and can be used as a text for an advanced course on the subject.

Get to grips with the fundamentals of semantics research. Written by a team of world-class experts, this book introduces the subject for a broad audience of linguists, cognitive scientists, philosophers, and computer scientists. It explores the core concepts of sentential semantics and includes sections on questions, imperatives, copular clauses, and existential sentences. It also features essential research on sentence types, and explains central concepts in the theory of information structure and discourse structure. Now in paperback for the first time since its original publication, the material in this modern classic is an ideal resource for anyone involved in semantics research.

By highlighting relations between experimental and theoretical work, this volume explores new ways of addressing one of the central challenges in the study of language and cognition. The articles bring together work by leading scholars and younger researchers in psychology, linguistics and philosophy. An introductory chapter lays out the background on concept composition, a problem that is stimulating much new research in cognitive science. Researchers in this interdisciplinary domain aim to explain how meanings of complex expressions are derived from simple lexical concepts and to show how these meanings connect to concept representations. Traditionally, much of the work on concept composition has been carried out within separate disciplines, where cognitive psychologists have concentrated on concept representations, and linguists and philosophers have focused on the meaning and use of logical operators. This volume demonstrates an important change in this situation, where convergence points between these three disciplines in cognitive science are emerging and are leading to new findings and theoretical insights. This book is open access under a CC BY license.