This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. Its intended audience consists of
The area of coalgebra has emerged within theoretical computer science with a unifying claim: to be the mathematics of computational dynamics. It combines ideas from the theory of dynamical systems and from the theory of state-based computation. Although still in its infancy, it is an active area of research that generates wide interest. Written by one of the founders of the field, this book acts as the first mature and accessible introduction to coalgebra. It provides clear mathematical explanations, with many examples and exercises involving deterministic and non-deterministic automata, transition systems, streams, Markov chains and weighted automata. The theory is expressed in the language of category theory, which provides the right abstraction to make the similarity and duality between algebra and coalgebra explicit, and which the reader is introduced to in a hands-on manner. The book will be useful to mathematicians and (theoretical) computer scientists and will also be of interes
Scholars have been arguing for a century about the unexplained occurrence of Portuguese words in the Spanish-based creole language of the Caribbean islands of Aruba, Bonaire, and Curacao. Jacobs (Ludw
Christianity in Late Antiquity, 300-450 C.E: A Reader collects primary sources of the early Christian world, from the last "Great Persecution" under Emperor Diocletian to the Council of Chalcedon in t
Christianity in Late Antiquity, 300-450 C.E.: A Reader collects primary sources of the early Christian world, from the last "Great Persecution" under the Emperor Diocletian to the Council of Chalcedo
