A simple theorem prover based on symbolic trajectory evaluation and BDD's

Abstract

Formal hardware verification based on symbolic trajectory evaluation shows considerable promise in verifying medium to large scale VLSI designs with a high degree of automation. However, in order to verify today's designs, a method for composing partial verification results is needed. This paper presents a theory of composition for symbolic trajectory evaluation and shows how implementing this theory using a specialized theorem prover is very attractive. Symbolic trajectory evaluation is used to prove low level properties of a circuit, and these properties are combined using the prover. Providing a powerful and flexible interface to a coherent system (with automatic assistance in parts) reduces the load on the human verifier. This hybrid approach, coupled with powerful and simple data representation, increases the range of circuits which can be verified using trajectory evaluation. The paper concludes with two examples. One example is the complete verification of a 64 b multiplier which takes approximately 15 minutes on a SPARC 10 machine.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>