Chatzikyriakidis S., Luo Z. Formal Semantics in Modern Type Theories

Wiley, 2021. — (Logic Linguistics and Computer Science Set 2). — ISBN 978-1-78630-128-4.Формальная семантика в современных теорияхThis book studies formal semantics in modern type theories (MTTsemantics). Compared with simple type theory, MTTs have much richer type structures and provide powerful means for adequate semantic constructions. This offers a serious alternative to the traditional settheoretical foundation for linguistic semantics and opens up a new avenue for developing formal semantics that is both model-theoretic and proof-theoretic, which was not available before the development of MTTsemantics. This book provides a reader-friendly and precise description of MTTs and offers a comprehensive introduction to MTT-semantics. It develops several case studies, such as adjectival modification and copredication, to exemplify the attractiveness of using MTTs for the study of linguistic meaning. It also examines existing proof assistant technology based on MTT-semantics for the verification of semantic constructions and reasoning in natural language. Several advanced topics are also briefly studied, including dependent event types, an application of dependent typing to event semantics.Type Theories and Semantic Studies
Modern Type Theories
Formal Semantics in Modern Type Theories
Advanced Modification
Copredication and Individuation
Reasoning and Verifying NL Semantics in Coq
Advanced Topics