This paper deals with formal verification of high-level designs, in particular, symbolic comparison of register-transfer-level descriptions and behavioral descriptions. We use state machines extended by quantifier-free first-order logic with equality, as models of those descriptions. We cannot adopt the classical notion of equivalence for state machines, because the signals in the corresponding outputs of such two descriptions do not change in the same way. This paper defines a new notion of consistency based on signal-transitions of the corresponding outputs, and proposes an algorithm for checking consistency of those descriptions, up to a limited number of steps from initial states. As an example of high-level designs, we take a simple hardware/software codesign. A C program for digital signal processing called PARCOR filter was compared with its corresponding design given as a register-transfer-level description, which is composed of a VLIW architecture and assembly code. Since this example terminates within approximately 4500 steps, symbolic exploration of a finite number of steps is sufficient to verify the descriptions. Our prototype verifier succeeded in the verification of this example in 31 minutes.