Könyv Normalisation in Deep Inference Panos Tsatsanis

Normalisation in Deep Inference

Cut Elimination in the Calculus of Structures

Szerző: Panos Tsatsanis
Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: Kiadói készleten rendelésre
Küldés 17-27 napon belül
17 434 Ft
This book is presenting the calculus of structures, a recently developed proof-theoretic formalism u...

Információk a könyvről

Szerző
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2013
oldal
108
EAN
9783659340246
Enbook ID
07119422
Súly
177
Méretek
150 x 220 x 6

Teljes leírás

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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