A non−symmetric polymerase chain reaction (PCR) amplification method employing a limiting primer in low concentration whose concentration−adjusted melting point at least equals, and preferably exceeds, that of the excess primer, the latter in turn not being more than 25°C below the melting temperature of the amplicon. Assays employing such amplification and labeled hybridization probes, including assays that include a detection step following primer extension or a low−temperature probe, or both. Kits for performing such assays and primer or primer­and−probe sets for performing the foregoing amplifications and assays.