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siddhartha-gadgil.github.io | ||
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www.jeremykun.com
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| | | | | Decidability Versus Efficiency In the early days of computing theory, the important questions were primarily about decidability. What sorts of problems are beyond the power of a Turing machine to solve? As we saw in our last primer on Turing machines, the halting problem is such an example: it can never be solved a finite amount of time by a Turing machine. However, more recently (in the past half-century) the focus of computing theory has shifted away from possibility in favor of determining feasibility. | |
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www.cs.uic.edu
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rjlipton.com
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| | | | | Another proof idea using finite automata Steve Cook proved three landmark theorems with 1971 dates. The first has been called a "surprising theorem": that any deterministic pushdown automaton with two-way input tape can be simulated in linear time by a random-access machine. This implies that string matching can be done in linear time, which inspired... | |
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aeon.co
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| | | Some have thought that logic will one day be completed and all its problems solved. Now we know it is an endless task | ||
