Noise affects circuit operation by increasing gate delays and causing latches to capture incorrect values. Noise analysis techniques can detect some of such noise faults, but accurate analysis requires a careful examination of timing and functional properties of the circuit. This paper proposes a method to check the "true" noise impact on path delay. It uses four-variable Boolean logic to characterize signal transitions in a time interval, and formulates Boolean satisfiability between aggressors and a victim under the min-max delay model for gates. The proposed technique is scalable as it keeps the size of Boolean formulation linear to the size of the modeled circuit. By applying it to a set of large circuits, it has eliminated up to 50% of noise delay faults reported by conventional noise analysis method.