Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The optimal space complexity of consensus in shared memory is a decades-old open problem. For a system of $n$ processes, no algorithm is known that uses a sublinear number of registers. Hover, the best known lor bound due to Fich, Herlihy, and Shavit requires $\Omega(\sqrt{n})$ registers. #R##N#The special symmetric case of the problem where processes are anonymous (run the same algorithm) has also attracted attention. Even in this case, the best lor and upper bounds are still $\Omega(\sqrt{n})$ and $O(n)$. Moreover, Fich, Herlihy, and Shavit first proved their lor bound for anonymous processes, and then extended it to the general case. As such, resolving the anonymous case might be a significant step towards understanding and solving the general problem. #R##N#In this work,  show that in a system of anonymous processes, any consensus algorithm satisfying nondeterministic solo termination has to use $\Omega(n)$ read-write registers in some execution. This implies an $\Omega(n)$ lor bound on the space complexity of deterministic obstruction-free and randomized wait-free consensus, matching the upper bound and closing the symmetric case of the open problem.
['Rati Gelashvili']
I am writing a research paper on a idea On the Optimal Space Complexity of Consensus for Anonymous Processes
[{"from": "human", "value": "I am writing a research paper on a idea On the Optimal Space Complexity of Consensus for Anonymous Processes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The optimal space complexity of consensus in shared memory is a decades-old open problem. For a system of $n$ processes, no algorithm is known that uses a sublinear number of registers. Hover, the best known lor bound due to Fich, Herlihy, and Shavit requires $\\Omega(\\sqrt{n})$ registers. #R##N#The special symmetric case of the problem where processes are anonymous (run the same algorithm) has also attracted attention. Even in this case, the best lor and upper bounds are still $\\Omega(\\sqrt{n})$ and $O(n)$. Moreover, Fich, Herlihy, and Shavit first proved their lor bound for anonymous processes, and then extended it to the general case. As such, resolving the anonymous case might be a significant step towards understanding and solving the general problem. #R##N#In this work,  show that in a system of anonymous processes, any consensus algorithm satisfying nondeterministic solo termination has to use $\\Omega(n)$ read-write registers in some execution. This implies an $\\Omega(n)$ lor bound on the space complexity of deterministic obstruction-free and randomized wait-free consensus, matching the upper bound and closing the symmetric case of the open problem."}]