Description
| Product ID: | 9783111080567 |
| Product Form: | Hardback |
| Country of Manufacture: | GB |
| Title: | Category Theory |
| Subtitle: | Invariances and Symmetries in Computer Science |
| Authors: | Author: Zoran Majkic |
| Page Count: | 436 |
| Subjects: | Mathematical logic, Mathematical logic, Maths for computer scientists, Maths for computer scientists |
| Description: | Select Guide Rating 841041051153298111111107321121141011151011101161153211610410132102111114109971083210010110210511010511610511111032111102321021171101009710910111011697108321161149711011510211111410997116105111110115321051103267971161011031111141213284104101111114121 This book analyzes the generation of the arrow-categories of a given category, which is a foundational and distinguishable Category Theory phenomena, in analogy to the foundational role of sets in the traditional set-based Mathematics, for defi nition of natural numbers as well. This inductive transformation of a category into the infinite hierarchy of the arrowcategories is extended to the functors and natural transformations. The author considers invariant categorial properties (the symmetries) under such inductive transformations. The book focuses in particular on Global symmetry (invariance of adjunctions) and Internal symmetries between arrows and objects in a category (in analogy to Field Theories like Quantum Mechanics and General Relativity). The second part of the book is dedicated to more advanced applications of Internal symmetry to Computer Science: for Intuitionistic Logic, Untyped Lambda Calculus with Fixpoint Operators, Labeled Transition Systems in Process Algebras and Modal logics as well as Data Integration Theory. |
| Imprint Name: | De Gruyter |
| Publisher Name: | De Gruyter |
| Country of Publication: | GB |
| Publishing Date: | 2023-03-06 |
