In this paper I generalize the new approach to nonmonotonicreasoning that was presented in [6]. This generalization results in the inconsistency-adaptive logic PRL . I give proof theory, semantics, mention interesting properties,and comment on the reconstruction and amelioration of other nonmonotoniclogics and mechanisms.

It is shown that the consequence relations defined from theRescher-Manor Mechanism are all inconsistency-adaptive logics combined with a specific interpretation schema for the premises. Each of the adaptive logics isobtained by applying a suitable adaptive strategy to the paraconsistent logicCLuN.This result provides all those consequence relations with a proof theory and with a static semantics.