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The complexity of analog computation
1986
Mathematics and Computers in Simulation
We ask if analog computers can solve NP-complete problems efficiently. Regarding this as unlikely, we formulate a strong version of Church's Thesis: that any analog computer can be simulated efficiently (in polynomial time) by a digital computer. From this assumption and the assumption that P ≠ NP we can draw conclusions about the operation of physical devices used for computation. An NP-complete problem, 3-SAT, is reduced to the problem of checking whether a feasible point is a local optimum
doi:10.1016/0378-4754(86)90105-9
fatcat:ugbfkmn455hixab3cvphmhhf3u