Embodiments of a method for performing parallel operations in a computer system when one or more conditional dependencies may be present, where a given conditional dependency includes a dependency associated with at least two data elements based on a pair of conditions. During operation, a processor receives instructions for generating one or more predicate values based on actual dependencies, where a given predicate value indicates data elements that may be safely evaluated in parallel, and where the given actual dependency occurs when the pair of conditions matches one or more criteria. Then, the processor executes the instructions for generating the one or more predicate values.