Proof theory

Herman Ruge Jervell

ISBN 978-3-8325-3303-8
129 pages, year of publication: 2013
price: 19.80 €
Proof theory
In proof theory we investigate the objects used for computations and arguments in computer science and mathematics. Our starting point is the classical analysis given by Gerhard Gentzen in the 1930's. We develop this further using a new theory of ordinal notation and connecting this with combinatorics on finite trees.

Author: Herman Ruge Jervell (1945) is professor of logic in Department of Informatics, University of Oslo.

Please see as well: Logic and Computations and Modal logic

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Table of contents (PDF)


  • Proof theory
  • cut elimination
  • quantifier elimination
  • ordinal notations
  • combinatorics
  • finite


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