This book develops a type theory, studies its properties, and explains its uses in computer science. The book focuses in particular on how the study of type theory may offer a powerful and uniform language for programming, program specification and development, and logical reasoning. The type theory developed here reflects a conceptual distinction between logical propositions and computational data types. Starting from an introduction of the basic concepts, the author explains the meaning and use of the type-theoretic language with proof-theoretic justifications, and discusses various issues...
This book develops a type theory, studies its properties, and explains its uses in computer science. The book focuses in particular on how the study o...
Themes that are covered include modern developments of type theories in formal semantics, foundational issues in linguistic semantics like anaphora, modality and plurals, innovational interdisciplinary research like the introduction of probability theory to type theories as well as computational implementations of type theoretical approaches.
Themes that are covered include modern developments of type theories in formal semantics, foundational issues in linguistic semantics like anaphora, m...
Modern Type Theories (MTTs), (type theories within the tradition of Martin-Lof,) have been shown to be a serious alternative to set theory in the study of mathematical foundations and have been furthermore shown to be the most suited logical languages to perform reasoning tasks.
Modern Type Theories (MTTs), (type theories within the tradition of Martin-Lof,) have been shown to be a serious alternative to set theory in the stud...
