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Turing Machines: An Introduction

CIT 596 Theory of Computation 1. Turing Machines: An Introduction We have seen several abstract models of computing devices: Deterministic Finite Automata, Nondeterministic Finite Automata, Non- deterministic Finite Automata with -Transitions, Pushdown Automata, and Deterministic Pushdown Automata. However, none of the above seem to be as powerful as a real com- puter, right? We now turn our attention to a much more powerful abstract model of a computing device: a Turing machine . This model is believed to do everything that a real computer can do.

Turing Machines: An Introduction Formally, a Turing machine is a 7-tuple, (Q,Σ,Γ,δ,q0,qaccept,qreject), where Q is the (finite) set of states, Σ is the input alphabet such that Σ does not contain the special blank symbol t, Γ is the tape alphabet is the transition function, q0 ∈ Q is the start state, qaccept ∈ Q is the

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