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TURING
MACHINES
(TM)
-Sampath Kumar S,
AP/CSE, SECE
Types of Turing Machines
 Multi-Tape/Head Turing Machine
 Multi-track Turing Machine
 Nondeterministic Turing Machine
21 November 2017
Sampath Kumar S, AP/CSE, SECE
2
Sampath Kumar S, AP/CSE, SECE
3
Multi-Tape/Head TM:
 Multi-tape Turing Machines have multiple tapes where
each tape is accessed with a separate head.
 Each head can move independently of the other heads.
 Initially the input is on tape 1 and others are blank.
 At first, the first tape is occupied by the input and the
other tapes are kept blank.
 Next, the machine reads consecutive symbols under its
heads and the TM prints a symbol on each tape and
moves its heads.
21 November 2017
Sampath Kumar S, AP/CSE, SECE
4
Multi-Tape/Head TM:
21 November 2017
Sampath Kumar S, AP/CSE, SECE
5
Multi-track Turing Machine:
Multi-track Turing machines, a specific type
of Multi-tape Turing machine, contain
multiple tracks but just one tape head reads
and writes on all tracks.
Here, a single tape head reads n symbols
from n tracks at one step.
It accepts recursively enumerable languages
like a normal single-track single-tape Turing
Machine accepts.
21 November 2017
Sampath Kumar S, AP/CSE, SECE
6
Multi-track Turing Machine:
21 November 2017
21 November 2017
Sampath Kumar S, AP/CSE, SECE
8
நன்றி
21 November 2017
Sampath Kumar S, AP/CSE, SECE
9

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4.2 variantsof turing machines (types of tm)

  • 2. Types of Turing Machines  Multi-Tape/Head Turing Machine  Multi-track Turing Machine  Nondeterministic Turing Machine 21 November 2017 Sampath Kumar S, AP/CSE, SECE 2
  • 3. Sampath Kumar S, AP/CSE, SECE 3 Multi-Tape/Head TM:  Multi-tape Turing Machines have multiple tapes where each tape is accessed with a separate head.  Each head can move independently of the other heads.  Initially the input is on tape 1 and others are blank.  At first, the first tape is occupied by the input and the other tapes are kept blank.  Next, the machine reads consecutive symbols under its heads and the TM prints a symbol on each tape and moves its heads. 21 November 2017
  • 4. Sampath Kumar S, AP/CSE, SECE 4 Multi-Tape/Head TM: 21 November 2017
  • 5. Sampath Kumar S, AP/CSE, SECE 5 Multi-track Turing Machine: Multi-track Turing machines, a specific type of Multi-tape Turing machine, contain multiple tracks but just one tape head reads and writes on all tracks. Here, a single tape head reads n symbols from n tracks at one step. It accepts recursively enumerable languages like a normal single-track single-tape Turing Machine accepts. 21 November 2017
  • 6. Sampath Kumar S, AP/CSE, SECE 6 Multi-track Turing Machine: 21 November 2017
  • 7. 21 November 2017 Sampath Kumar S, AP/CSE, SECE 8