Title: Introduction a la theorie de la demonstration: Elimination des coupures, normalisation et preuves de coherence
Publisher: Librairie Philosophique J. Vrin
Publication Date: 2022
Language: French
ISBN 10: 2711630919
ISBN 13: 9782711630912
Binding: Soft cover
Condition: New

About this title

Synopsis

Cet ouvrage offre une introduction accessible a la theorie de la demonstration: il donne les details des preuves et comporte de nombreux exemples et exercices pour faciliter la comprehension des lecteurs. Il est egalement concu pour servir d'aide a la lecture des articles fondateurs de Gerhard Gentzen. L'ouvrage introduit egalement aux trois principaux formalismes en usage: l'approche axiomatique des preuves, la deduction naturelle et le calcul des sequents. Il donne une demonstration claire et detaillee des resultats fondamentaux du domaine: traduction de l'arithmetique classique vers l'arithmetique intuitionniste, elimination des coupures, theoreme de normalisation et conduit ensuite pas a pas le lecteur vers l'expose de la celebre preuve de coherence de Gentzen pour l'arithmetique de Peano du premier ordre. Il comble ainsi une importante lacune editoriale en presentant a la fois la theorie structurelle et la theorie ordinale de la demonstration.

About the Author

Traduction de Y. Aggoune, D. Appadourai et A. Rolland, r�vis�e par D. Waszek.

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