Splicing systems for universal turing machines
: Harju T, Margenstern M
: 2005
Lecture Notes in Computer Science
DNA COMPUTING
: LECT NOTES COMPUT SC
: 3384
: 149
: 158
: 10
: 3-540-26174-5
: 0302-9743
It turns out that starting from a Turing machine M with alphabet A and finite set of states Q which generates a given recursively enumerable language L, we need around 2x/I/+2 rules in order to define an extended H system H which generates L, where I is the set of instructions of Turing machine M. Next, coding the states of Q and the non-terminal symbols of,C, we obtain, an extended H system H-1 which generates L using /A/+2 symbols. At last, by encoding the alphabet, we obtain a splicing system U which generates a universal recursively enumerable set using only two letters.