Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  propose a new method for equivalence checking of RTL and schematic descriptions of memories using translation into first-order logic. Our method is based on a porful abstraction of memories and address decoders within them.  propose two ways of axiomatizing some of the bit-vector operations, decoders, and memories. The first axiomatization uses an algebra of operations on bit-vectors. The second axiomatization considers a bit-vector as a unary relation and memory as a relation of larger arity. For some designs, including real-life designs, the second axiomatization results in a first-order problem falling into a known decidable fragment of first-order logic and suitable for solving by modern first-order provers. Equivalence of real-life memories can be verified in seconds with our approach.
['Zurab Khasidashvili', 'Mahmoud Kinanah', 'Andrei Voronkov']
I am writing a research paper on a idea Verifying equivalence of memories using a first order logic theorem prover
[{"from": "human", "value": "I am writing a research paper on a idea Verifying equivalence of memories using a first order logic theorem prover"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  propose a new method for equivalence checking of RTL and schematic descriptions of memories using translation into first-order logic. Our method is based on a porful abstraction of memories and address decoders within them.  propose two ways of axiomatizing some of the bit-vector operations, decoders, and memories. The first axiomatization uses an algebra of operations on bit-vectors. The second axiomatization considers a bit-vector as a unary relation and memory as a relation of larger arity. For some designs, including real-life designs, the second axiomatization results in a first-order problem falling into a known decidable fragment of first-order logic and suitable for solving by modern first-order provers. Equivalence of real-life memories can be verified in seconds with our approach."}]