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Categories for types
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Michaël_Grünewald
- Gabriel Kerneis
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Pierre-Evariste Dagand
- Michaël_Grünewald
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| Date: | -- (:) |
| From: | Michaël_Grünewald <michael.grunewald@l...> |
| Subject: | Re: [Caml-list] Categories for types |
Le Mercredi 27 février 2008 à 15:19 +0100, Pierre-Evariste Dagand a écrit : > > Maybe someone can also suggests other readings to me. > > /!\ Disclaimer /!\ > > I'm not a category theory guru, it just happened that I had one > lecture on that topic, I'm still trying to understand that field. The > following references come from my teacher. > > Feel free to comment this choice / to comment over my comments, I am > eager to learn more about this topic. > > > > This book is a "classic", targeting the use of category theory for > programming languages : > > Basic Category Theory for Computer Scientists, Benjamin C. Pierce > > It's "understandable", i.e: to be read with a pen and a paper. That's > not a thriller... > > Then comes the Crole, Categories for Types. Quite hard to grasp but > hey... that's category theory... Spoiler : at the end, the > hyper-doctrine classify the \omega \lambda theory, I look forward > Season 2 to know how she reacts. > > Less computer science oriented, you have : > > Conceptual Mathematics: A First Introduction to Categories, Lawvere & Schanuel > > This one is very pedestrian, it starts with stones, Anna, Joe and > Richard to end with "higher universal mapping properties". I find it > quite good at developping some intuitions of what all these > thingy-morphisms are, among other thingysm. > > On the other hand, you have the H-Bomb : > > Categories for the Working Mathematician, Mac Lane > > Probably a very good book. But I can't comment it : as soon as I open > it, read a line, I fall asleep. It's a very dense book. > > I have also heard a good review of the following : > > Category Theory (Oxford Logic Guides), Steve Awodey > > As an intermediate between Mac Lane and Pierce. > > > > Good luck and don't forget to buy a lot of coffee, Thank you for the pointers, I will read the introductions of the books I manage to find. And yes, I enjoy drinking coffee.