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aa:lab:rice [2016/10/22 11:30] pdmatei |
aa:lab:rice [2016/10/22 14:33] (current) pdmatei |
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| ==== Establish the hardness of the following ==== | ==== Establish the hardness of the following ==== | ||
| + | {{## | ||
| * $math[f(M_1,M_2) = \left\{\begin{array}{ll} 1 & M_1 \text{ takes as much time as } M_2 \text{ on every input } \\ 0 & \text{otherwise} \end{array}\right.] | * $math[f(M_1,M_2) = \left\{\begin{array}{ll} 1 & M_1 \text{ takes as much time as } M_2 \text{ on every input } \\ 0 & \text{otherwise} \end{array}\right.] | ||
| + | ##}} | ||
| * $math[f(M) = \left\{\begin{array}{ll} 1 & M \text{ does not terminate for every input } \\ 0 & \text{otherwise} \end{array}\right.] | * $math[f(M) = \left\{\begin{array}{ll} 1 & M \text{ does not terminate for every input } \\ 0 & \text{otherwise} \end{array}\right.] | ||