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Everything about DLOGTIME

In computational complexity theory, DLOGTIME is the complexity class of all computational problems solvable in a logarithmic amount of computation time on a deterministic Turing machine. It must be defined on a random-access Turing machine, since otherwise the input tape is longer than the range of cells that can be accessed by the machine. It is a very weak model of time complexity: no random-access Turing machine with a smaller deterministic time bound can access the whole input. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: DLOGTIMEA 5-minute orientation
  2. Read the landmark paper: A characterisation of P by DLOGTIME-uniform families of polarizationless P systems using only dissolution rulesCited 1 times
  3. Go sideways: DSPACEA closely related topic
  4. Go sideways: Complexity classA closely related topic

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