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Needs:
Finite Automata
Needed by:
None.
Links:
Sheet PDF
Graph PDF

Tape Machine

Definition

A tape machine (or Turing machine) is a list

\[ M = (Q, \Sigma , \Gamma , b, \delta , q_0, q_{\text{accept}}, q_{\text{reject}}) \]

where $Q$ is a finite set, $\Sigma $ is an alphabet with $b \not\in \Sigma $, $\Gamma $ is an alphabet with $\Sigma \subset \Gamma $ and $b \in \Gamma \setminus \Sigma $,

\[ \delta : Q \times \Gamma \to Q \times \Gamma \times \{-1, -1\} \]

is a function and $q_0, q_{\text{accept}}, q_{\text{reject}} \in Q$ with $q_{\text{accept}} \neq q_{\text{reject}}$.

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