Inthispaper,anewcoveringalgorithmcalledFCV1ispresented.FCV1comprisestwoalgorithms,oneofwhichisabletofastsearchforapartialruleandexcludethelargeportionofneggativeexamples,theotheralgorithmincorporatesthemoreoptimizedgreedyset-coveringalgorithm,andrunsonasmallportionoftrainingexamples.Hence,thetrainingprocessofFCV1ismuchfasterthanthatofAQ15.