Term Functors, Ultrafilter Categorical Computing and Monads (Paperback) (ISBN-13: 9786202077903)

This book is an introduction to a term functorial mathematics and monad-based model theory on infinitary language categories. Term functors are important new techniques that bring categorical models mathematics bases closer to computability studies. The book bridges over important areas between CS and Mathematics with newer important insights. Lifting to power signatures to bridge onto n-type functors with ultrafilters for computability with n-type models for point set fragments. The accomplishment bring forth newer avenues between mathematics and TCS with newer benefits to both disciplines. The functorial model perspective is different from the preceding authors', in that functorial model theory is based on defining categories on language fragments, then carrying on functors to categories and filter monads. Infinitary language categories abbreviated IFLCS in the first authors publications over a decade ago. An important consequence is that we have a direct reach to all developed model theory techniques at categories. Therefore, we do not reinvent all that at topos, but carry that at topos.

Author: Cyrus F. Nourani, Patrik Eklund
ISBN-10: 6202077905
ISBN-13: 9786202077903
Publisher: LAP Lambert Academic Publishing
Language: English
Published: 05/08/2020
Pages: 456
Format: Paperback
Weight: 1.46lbs
Size: 9.00h x 6.00w x 1.02d