Can I read Proof-Theoretical Coherence (Studies in Logic (Logic & Cognitive Systems)) on EtoBox?

Proof-Theoretical Coherence (Studies in Logic (Logic & Cognitive Systems)) by Kosta Došen, Zoran Petrić is a nonfiction available to read on EtoBox.

What is Proof-Theoretical Coherence (Studies in Logic (Logic & Cognitive Systems)) about?

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 monoid

Who reads Proof-Theoretical Coherence (Studies in Logic (Logic & Cognitive Systems))?

Author

Kosta Došen, Zoran Petrić

Publisher

King's College Publications

Published

2004

Language

EN

ISBN

9781904987062

Category

nonfiction

Subjects

Mathematics, Computer Science, Technology