1. A method for designing one or more computing elements, the method comprising steps: receiving one or more requirements detailing one or more intended behaviors of the one or more computing elements; creating a model of the one or more computing elements based on the requirements; generating higher order language (HOL) code based on the model; translating the model into a synchronous program; translating the synchronous program into a specific format of a verification tool; obtaining one or more test cases embodying at least one counter-example from the verification tool; simulating behaviors of the one or more computing elements from the HOL code using the one or more test cases embodying the at least one counter-example; and formally verifying a synchronous program translation into a specific format of a verification tool based on simulated behaviors of the one or more computing elements from the HOL code using the one or more test cases embodying the at least one counter-example.