Consistency of variable splitting in free variable systems of first-order logic

Authors:
Roger Antonsen;Arild Waaler
Affiliations:
Department of Informatics, University of Oslo, Norway;Department of Informatics, University of Oslo, Norway
Venue:
TABLEAUX'05 Proceedings of the 14th international conference on Automated Reasoning with Analytic Tableaux and Related Methods
Year:
2005

Citing 3
Cited 2

Automated deduction in nonclassical logics

Automated deduction in nonclassical logics
Incremental Closure of Free Variable Tableaux

IJCAR '01 Proceedings of the First International Joint Conference on Automated Reasoning
Connections in nonclassical logics

Handbook of automated reasoning

A Labelled System for IPL with Variable Splitting

CADE-21 Proceedings of the 21st international conference on Automated Deduction: Automated Deduction
Incremental variable splitting

Journal of Symbolic Computation

Quantified Score

Hi-index	0.00

Visualization

Abstract

We prove consistency of a sequent calculus for classical logic with explicit splitting of free variables by means of a semantical soundness argument. The free variable system is a mature formulation of the system proposed at TABLEAUX 2003 [1]. We also identify some challenging and interesting open research problems.