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. [1]
DLOGTIME includes problems relating to verifying the length of the input, [1] for example the problem "Is the input of even length?", which can be solved in logarithmic time using binary search.
DLOGTIME- uniformity is important in circuit complexity. [1] [2]
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. [1]
DLOGTIME includes problems relating to verifying the length of the input, [1] for example the problem "Is the input of even length?", which can be solved in logarithmic time using binary search.
DLOGTIME- uniformity is important in circuit complexity. [1] [2]