Categories for Types - Roy L. Crole
-20% with code BOOKS
Shipping in 17-23 days
30-day return policy
This textbook explains the basic principles of categorical type theory and the techniques used to derive categorical semantics for specific type theories. It introduces the reader to ordered set theory, lattices and domains, and this material provides plenty of examples for an introduction to category theory, which covers categories, functors, natural transformations, the Yoneda lemma, cartesian closed cate ... Full description
You May Also Like
TOP
Determined: The Science of Life Without Free Will
-20% with code BOOKS
In stock at our supplier
TOP
The Rise and Fall of the Dinosaurs: A New History of a Lost World
-20% with code BOOKS
In stock at our supplier
TOP
Factfulness: Ten Reasons We're Wrong About the World--and Why Things Are Better Than You Think
Ola Rosling, Anna Rosling Rönnlund, Hans Rosling
-20% with code BOOKS
In stock at our supplier
TOP
Biology: A Global Approach, Global Edition
Neil Campbell, Rebecca Orr, Lisa Urry, Peter Minorsky, Michael Cain, Jane Reece, Steven Wasserman
-20% with code BOOKS
In stock at our supplier
TOP
Six Not-so-easy Pieces: Einstein's Relativity, Symmetry, and Space-Time
Richard P. Feynman, Robert B. Leighton, Matthew Sands
-20% with code BOOKS
In stock at our supplier
TOP
Entangled Life: How Fungi Make Our Worlds, Change Our Minds and Shape Our Futures
-20% with code BOOKS
In stock at our supplier
TOP
The Light Eaters: How the Unseen World of Plant Intelligence Offers a New Understanding of Life on Earth
-20% with code BOOKS
In stock at our supplier
TOP
The Age of Alchemy: How Early Innovators Shaped Modern Chemistry
-20% with code BOOKS
In stock at our supplier
TOP
The Secrets of our DNA: How Genetics has Changed the World
-20% with code BOOKS
In stock at our supplier
TOP
Janeway's Immunobiology
Leslie J. Berg, Kenneth Murphy, Casey Weaver
-20% with code BOOKS
In stock at our supplier
TOP
Behave: The Biology of Humans at Our Best and Worst
-20% with code BOOKS
In stock at our supplier
TOP
Why We Sleep: Unlocking the Power of Sleep and Dreams
-20% with code BOOKS
In stock
TOP
Why Machines Learn: The Elegant Maths Behind Modern AI
-20% with code BOOKS
In stock at our supplier
TOP
Life As No One Knows It: The Physics of Life's Emergence
-20% with code BOOKS
In stock at our supplier
TOP
The Rise and Reign of the Mammals: A New History, from the Shadow of the Dinosaurs to Us
-20% with code BOOKS
In stock at our supplier
TOP
Learn Faster, Perform Better: A Musician's Guide to the Neuroscience of Practicing
-20% with code BOOKS
In stock at our supplier
TOP
The Brain That Changes Itself: Stories of Personal Triumph from the Frontiers of Brain Science
-20% with code BOOKS
In stock at our supplier
TOP
How to Solve it: A New Aspect of Mathematical Method
-20% with code BOOKS
In stock at our supplier
Description
This textbook explains the basic principles of categorical type theory and the techniques used to derive categorical semantics for specific type theories. It introduces the reader to ordered set theory, lattices and domains, and this material provides plenty of examples for an introduction to category theory, which covers categories, functors, natural transformations, the Yoneda lemma, cartesian closed categories, limits, adjunctions and indexed categories. Four kinds of formal system are considered in detail, namely algebraic, functional, polymorphic functional, and higher order polymorphic functional type theory. For each of these the categorical semantics are derived and results about the type systems are proved categorically. Issues of soundness and completeness are also considered. Aimed at advanced undergraduates and beginning graduates, this book will be of interest to theoretical computer scientists, logicians and mathematicians specializing in category theory.
More Information
| Author | Roy L. Crole |
|---|---|
| Publisher | Cambridge University Press |
| Release year | 2005 |
| Cover type | Hardcover |
| EAN | 9780521450928 |