Automated Generation of Analytic Calculi for Logics with Linearity 1st Edition by Agata Ciabattoni ISBN 9783540301240

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ISBN 10: 
ISBN 13: 9783540301240
Author: Agata Ciabattoni

We show how to automatically generate analytic hypersequent calculi for a large class of logics containing the linearity axiom (lin) (A ⊃ B) ∨ (B ⊃ A) starting from existing (single-conclusion) cut-free sequent calculi for the corresponding logics without (lin). As a corollary, we define an analytic calculus for Strict Monoidal T-norm based Logic SMTL.

Automated Generation of Analytic Calculi for Logics with Linearity 1st Table of contents:

1 Introduction
2 Sequent and Hypersequent Calculi
3 Cut-elimination by Substitutions
4 Transfer Principle
5 SMTL: a case study

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