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Logic Journal of IGPL 2002 10(2):123-163; doi:10.1093/jigpal/10.2.123
© 2002 by Oxford University Press
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Original Article

Labelled Natural Deduction for Conditional Logics of Normality

Krysia Broda1, Dov M. Gabbay2, Luís C. Lamb3,* and Alessandra M. Russo4

1 Department of Computing, Imperial College, London SW7 2BZ, E-mail: kb{at}doc.ic.ac.uk 2 Augustus De Morgan Professor of Logic, Department of Computer Science, King's College, London WC2R 2LS, E-mail: dg{at}dcs.kcl.ac.uk 3 Department of Computing, Imperial College, London SW7 2BZ, E-mail: ldcl{at}doc.ic.ac.uk 4 Department of Computing, Imperial College, London SW7 2BZ, E-mail: ar3{at}doc.ic.ac.uk

We propose a family of Labelled Deductive Conditional Logic systems (LDCL) by defining a Labelled Deductive formalisation for the propositional conditional logics of normality proposed by Boutilier and Lamarre. By making use of the Compilation approach to Labelled Deductive Systems (CLDS) we define natural deduction rules for conditional logics and prove that our formalisation is a generalisation of the conditional logics of normality.

Key Words: Labelled Deductive Systems; Conditional Logic; Natural Deduction

Received February 2002.

* Current address: Faculdade de Informática, PUCRS - Av. Ipiranga 6681, Porto Alegre, RS, 90450-030, Brazil. E-mail: lamb{at}inf.pucrs.br


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