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Questions about Turing machines, a theoretical model of mechanical computation capable of simulating any computer program.

0 votes
1 answer
66 views

Decidability of bitstring languages with no ones' complements

For any string $s \in \{0,1\}^*$, let the ones' complement of $s$, denoted $1_c(s)$, be the string obtained by flipping all bits in $s$. For example, $1_c(001100) = 110011$. Now call a language $L \su …
2 votes
1 answer
73 views

Decidability of languages containing bitstrings and their corresponding ones' complements

Consider strings $s \in \{0,1\}^*$. Define $c_1(s)$ to be the ones' complement of $s$; i.e., the string obtained from $s$ by inverting all of its bits. So, for example, $c_1(000111) = 111000$. Call a …