Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The octagon abstract domain is a widely used numeric abstract domain expressing relational information beten variables whilst being both computationally efficient and simple to implement. Each element of the domain is a system of constraints where each constraint takes the restricted form $\pm x_i \pm x_j \leq d$. A key family of operations for the octagon domain are closure algorithms, which check satisfiability and provide a normal form for octagonal constraint systems.  present new quadratic incremental algorithms for closure, strong closure and integer closure and proofs of their correctness.  highlight the benefits and measure the performance of these new algorithms.
['Aziem Chawdhary', 'Edward Robbins', 'Andy King']
I am writing a research paper on a idea Incrementally Closing Octagons
[{"from": "human", "value": "I am writing a research paper on a idea Incrementally Closing Octagons"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The octagon abstract domain is a widely used numeric abstract domain expressing relational information beten variables whilst being both computationally efficient and simple to implement. Each element of the domain is a system of constraints where each constraint takes the restricted form $\\pm x_i \\pm x_j \\leq d$. A key family of operations for the octagon domain are closure algorithms, which check satisfiability and provide a normal form for octagonal constraint systems.  present new quadratic incremental algorithms for closure, strong closure and integer closure and proofs of their correctness.  highlight the benefits and measure the performance of these new algorithms."}]