Proof-Theoretical Coherence - Kosta Dosen,Zoran Petric
-40% koodiga BOOKS
Saadetis 15-21 tööpäeva jooksul
30-päevane tagastamisõigus
This book in categorial proof theory formulates in terms of category theory a generalization close to linear algebra of the notions of distributive lattice and Boolean algebra. These notions of distributive lattice category and Boolean category codify a plausible nontrivial notion of identity of proofs in classical propositional logic, which is in accordance with Gentzen's cut-elimination procedure for mult ... Täielik kirjeldus
Võib-olla meeldib sulle ka
TOP
AI for Good: How Real People Are Using Artificial Intelligence to Fix Things That Matter
-40% koodiga BOOKS
Lõppenud
TOP
If Anyone Builds It, Everyone Dies: Why Superhuman AI Would Kill Us All
Eliezer Yudkowsky, Nate Soares
-40% koodiga BOOKS
Meie tarnija laos
TOP
Gödel, Escher, Bach: An Eternal Golden Braid
-40% koodiga BOOKS
Meie tarnija laos
TOP
AI Engineering: Building Applications with Foundation Models
-40% koodiga BOOKS
Meie tarnija laos
TOP
The Rust Programming Language
Steve Klabnik, Carol Nichols, Chris Krycho
-40% koodiga BOOKS
Meie tarnija laos
TOP
The Art of Game Design: A Book of Lenses
-40% koodiga BOOKS
Meie tarnija laos
TOP
How To Think About AI: A Guide For The Perplexed
-40% koodiga BOOKS
Meie tarnija laos
TOP
Empire of AI: Dreams and Nightmares in Sam Altman's OpenAI
-40% koodiga BOOKS
Meie tarnija laos
TOP
The Pragmatic Programmer: journey to mastery, 20th Anniversary Edition, 2/e: your journey to mastery, 20th Anniversary Edition
-40% koodiga BOOKS
Meie tarnija laos
TOP
HBR Guide to Generative AI for Managers
-40% koodiga BOOKS
Meie tarnija laos
TOP
Hackers. 25th Anniversary Edition: Heroes of the Computer Revolution
-40% koodiga BOOKS
Meie tarnija laos
TOP
The Web Application Hacker's Handbook: Discovering and Exploiting Security Flaws
-40% koodiga BOOKS
Meie tarnija laos
TOP
How Linux Works: What Every Superuser Should Know
-40% koodiga BOOKS
Meie tarnija laos
TOP
Artificial Intelligence: A Modern Approach, Global Edition
-40% koodiga BOOKS
Meie tarnija laos
TOP
Fundamentals of Software Architecture: A Modern Engineering Approach
-40% koodiga BOOKS
Meie tarnija laos
TOP
Speak Data: Artists, Scientists, Thinkers, and Dreamers on How We Live Our Lives in Numbers
-40% koodiga BOOKS
Meie tarnija laos
TOP
Linux Basics for Hackers, 2nd Edition: Getting Started with Networking, Scripting, and Security in Kali
-40% koodiga BOOKS
Meie tarnija laos
TOP
Mathematics for Machine Learning
Cheng Soon Ong, A. Aldo Faisal, Marc Peter Deisenroth
-40% koodiga BOOKS
Meie tarnija laos
Kirjeldus
This book in categorial proof theory formulates in terms of category theory a generalization close to linear algebra of the notions of distributive lattice and Boolean algebra. These notions of distributive lattice category and Boolean category codify a plausible nontrivial notion of identity of proofs in classical propositional logic, which is in accordance with Gentzen's cut-elimination procedure for multiple-conclusion sequents modified by admitting new principles called union of proofs and zero proofs. It is proved that these notions of category are coherent in the sense that there is a faithful structure-preserving functor from freely generated distributive lattice categories and Boolean categories into the category whose arrows are relations between finite ordinals-a category related to generality of proofs and to the notion of natural transformation. These coherence results yield a simple decision procedure for equality of proofs. Coherence in the same sense is also proved for various more general notions of category that enter into the notions of distributive lattice category and Boolean category. Some of these coherence results, like those for monoidal and symmetric monoidal categories are well known, but are here presented in a new light. The key to this categorification of the proof theory of classical propositional logic is distribution of conjunction over disjunction that is not an isomorphism as in cartesian closed categories.
Lisateave
| Autor | Kosta Dosen, Zoran Petric |
|---|---|
| Kirjastaja | College Publications |
| Väljalaskeaasta | 2004 |
| Kaanetüüp | Pehme kaanega |
| EAN | 9781904987062 |