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#### Phased labeled logics of conditional goals

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##### Citation

van der Torre, L. W. N. (1998). Phased labeled logics of conditional goals. In J. Dix,
L. Fariñas del Cerro, & U. Furbach (*Proceedings
of the 6th European Workshop on Logics in AI: Logics in Artificial Intelligence (JELIA-98)* (pp. 92-106). Berlin,
Germany: Springer.

Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-386C-8

##### Abstract

In this paper we introduce phased labeled logics of conditional goals. Labels
are used to impose restrictions on the proof theory of the logic. The
restriction
discussed in this paper is that a proof rule can be blocked in a derivation due
to the fact that another proof rule has been applied earlier in the derivation.
We call a set of proof rules that can be applied in any order a phase in the
proof theory. We propose a one-phase logic of goals containing four proof
rules, and we show that it is equivalent to a four-phase logic of goals in
which each phase contains exactly one proof rule. The proof theory of the
four-phase logic of goals is much more efficient, because other orderings no
longer have to be considered.