David Hilbert raised the “Decision Problem,” or Entscheidungsproblem, in 1928. Turing Machines cannot solve Halting Problems, one specific type of decision problem.
The Special Case of Non-Deterministic Turing Machines
February 28, 2012 by Leave a Comment
Alan Turing (1912-1954) “invented” the Turing machine (TM) as a powerful theoretical model for mathematicians exploring rules-based mathematics. The Non-deterministic Turing machine, or NTM, extends the basic concept by permitting multiple instructions for one state-input combination. The Deterministic Turing Machine A Turing machine has a finite number of states, symbols and instructions. A pattern of symbols are presented on [...]
Examples of Turing Machines: Loops, Halts, and Rewriting
February 24, 2012 by Leave a Comment
A Turing machine, or TM, is a theoretical model devised by Alan Turing to explore the limits of rule-based math. The model has a finite number of rules, states and symbols, and an infinite tape with cells, each of which can contain a single symbol. The TM can either read the current cell, rewrite it, [...]
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