Abstract: Systems and methods for deriving a predicate by constructing a logic formula from information recorded during test execution, optimizing the logic formula and computing the logical implication of the optimized logic formula. Systems and methods for deriving an assertion from a logical implication by substituting each predicate in the logical implication with corresponding design elements from a hardware design description, inserting the design elements into a target template, inserting a context-sensitive input of the target template based on design elements in the hardware design description and creating an instance name for an instantiation of the target template. Systems and methods for generating a set of clauses that are implied by a disjunctive normal formula of a set of cubes.