Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Shape analyses are often imprecise in their numerical reasoning, whereas numerical static analyses are often largely unaware of the shape of a program's heap.   propose a lazy method of combining a shape analysis based on separation logic with an arbitrary arithmetic analysis. When potentially spurious counterexamples are reported by our shape analysis, the method constructs a purely arithmetic program whose traces over-approximate the set of counterexample traces. It then uses this arithmetic program together with the arithmetic analysis to construct a refinement for the shape analysis. Our method is aimed at proving properties that require comprehensive reasoning about heaps together with more targeted arithmetic reasoning. Given a sufficient precondition, our technique can automatically prove memory safety of programs whose error-free operation depends on a combination of shape, size, and integer invariants.  have implemented our algorithm and tested it on a number of common list routines using a variety of arithmetic analysis tools for refinement.
['Stephen Magill', 'Josh Berdine', 'Edmund M. Clarke', 'Byron Cook']
I am writing a research paper on a idea Arithmetic strengthening for shape analysis
[{"from": "human", "value": "I am writing a research paper on a idea Arithmetic strengthening for shape analysis"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Shape analyses are often imprecise in their numerical reasoning, whereas numerical static analyses are often largely unaware of the shape of a program's heap.   propose a lazy method of combining a shape analysis based on separation logic with an arbitrary arithmetic analysis. When potentially spurious counterexamples are reported by our shape analysis, the method constructs a purely arithmetic program whose traces over-approximate the set of counterexample traces. It then uses this arithmetic program together with the arithmetic analysis to construct a refinement for the shape analysis. Our method is aimed at proving properties that require comprehensive reasoning about heaps together with more targeted arithmetic reasoning. Given a sufficient precondition, our technique can automatically prove memory safety of programs whose error-free operation depends on a combination of shape, size, and integer invariants.  have implemented our algorithm and tested it on a number of common list routines using a variety of arithmetic analysis tools for refinement."}]