Lavoisier S.A.S.
14 rue de Provigny
94236 Cachan cedex
FRANCE

Heures d'ouverture 08h30-12h30/13h30-17h30
Tél.: +33 (0)1 47 40 67 00
Fax: +33 (0)1 47 40 67 02


Url canonique : www.lavoisier.fr/livre/autre/sequents-and-trees/descriptif_4399451
Url courte ou permalien : www.lavoisier.fr/livre/notice.asp?ouvrage=4399451

0 article 

 Frais de port 0,01€*

Exclusivité web : à partir de 35 euros d’achat, frais de port à 1 centime pour les expéditions vers la France métropolitaine, la Suisse et l’UE avec Colissimo ou GLS

Sequents and Trees, 1st ed. 2021 An Introduction to the Theory and Applications of Propositional Sequent Calculi Studies in Universal Logic Series

Langue : Anglais

Auteur :

Couverture de l’ouvrage Sequents and Trees
This textbook offers a detailed introduction to the methodology and applications of sequent calculi in propositional logic. Unlike other texts concerned with proof theory, emphasis is placed on illustrating how to use sequent calculi to prove a wide range of metatheoretical results.  The presentation is elementary and self-contained, with all technical details both formally stated and also informally explained.  Numerous proofs are worked through to demonstrate methods of proving important results, such as the cut-elimination theorem, completeness, decidability, and interpolation.  Other proofs are presented with portions left as exercises for readers, allowing them to practice techniques of sequent calculus.

After a brief introduction to classical propositional logic, the text explores three variants of sequent calculus and their features and applications.  The remaining chapters then show how sequent calculi can be extended, modified, and applied to non-classical logics, including modal, intuitionistic, substructural, and many-valued logics.

Sequents and Trees is suitable for graduate and advanced undergraduate students in logic taking courses on proof theory and its application to non-classical logics.  It will also be of interest to researchers in computer science and philosophers.

Introduction.- Analytic Sequent Calculus for CPL.- Gentzen's Sequent Calculus LK.- Purely Logical Sequent Calculus.- Sequent Calculi for Modal Logics.- Alternatives to CPL.- Appendix.

Andrzej Indrzejczak is a logician working on the problems of proof theory and its applications to non-classical logics. He is an author of several papers on natural deduction and sequent systems for modal and temporal logics, and of the monograph Natural Deduction, Hybrid Systems and Modal Logics (Springer, 2010).

Considers the methodology and techniques of sequent calculus to illustrate its use in proving a wide range of metatheoretical results

Includes many results and their proofs that are often not well known or easily accessible

Examines important and nonstandard generalized sequent calculi, like hypersequent and structured sequent calculi.

Date de parution :

Ouvrage de 345 p.

15.5x23.5 cm

Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).

52,74 €

Ajouter au panier

Date de parution :

Ouvrage de 345 p.

15.5x23.5 cm

Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).

Prix indicatif 68,56 €

Ajouter au panier