Kniha Normalisation in Deep Inference Panos Tsatsanis

Normalisation in Deep Inference

Cut Elimination in the Calculus of Structures

Jazyk: Angličtina
Väzba: Brožovaná
Dostupnosť: U vydavateľa na objednávku
Odosielame za 17-27 dní
48.46
This book is presenting the calculus of structures, a recently developed proof-theoretic formalism u...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
2013
Stránok
108
EAN
9783659340246
Enbook ID
07119422
Hmotnosť
177
Rozmery
150 x 220 x 6

Kompletný popis

This book is presenting the calculus of structures, a recently developed proof-theoretic formalism using deep inference. According to this approach, inference rules can apply arbitrarily deep inside formulas. It follows that derivations are now symmetric instead of tree-shape objects. A formal system for classical predicate logic is presented and compared with the corresponding sequent calculus. They are both analytic systems but locality can only be obtained with deep inference, meaning that the effort of applying a rule is always bounded. Then we investigate what normal forms of deductions have been defined. Besides cut elimination, we can adopt two other notions of normalisation that allow cuts inside a derivation. The focus is on common things and differences between normalisation in deep and shallow inference.

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