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May 17, 2024 · 1. Multiple track Turing Machine: A k-track Turing machine (for some k>0) has k-tracks and one R/W head that reads and writes all of them one by one. A k-track Turing Machine can be simulated by a single track Turing machine. 2. Two-way infinite Tape Turing Machine:
Variants of Turing Machines. Robustness of a mathematical object (such as proof, definition, algorithm, method, etc.) is measured by its invariance to certain changes To prove that a mathematical object is robust one needs to show that it is equivalent with its variants. Question: is the definition of a Turing machine ro-bust?
A turing machine is a mathematical model of a computation defining an abstract machine. In this article, we learn about the different variations/types of turing machines.
Common equivalent models are the multi-tape Turing machine, multi-track Turing machine, machines with input and output, and the non-deterministic Turing machine (NDTM) as opposed to the deterministic Turing machine (DTM) for which the action table has at most one entry for each combination of symbol and state.
We represent the instruction set of the Turing machine by a transition function; other definitions use a transition relation where the machine has more than one possible instruction in any given situation.
Variants of Turing machines. In this lecture we will continue to discuss the Turing machine model, focusing on ways in which the model can be changed without affecting its power. 13.1 Simple variants of Turing machines. There is nothing sacred about the specific definition of DTMs that we covered in the previous lecture.
There are many variants of Turing Machines. Mainly because they are all equivalent, so that makes things more convenient without really changing anything. This should not be surprising, since we already stated that a Turing Machine can compute anything that is computable.
