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September 29

# September 29 - CSCI 2670 Introduction to Theory of...

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CSCI 2670 Introduction to Theory of Computing September 29, 2005

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September 29, 2005 Agenda •Yester day – Turing machines •Today
September 29, 2005 Announcements • Homework due Wednesday • I will accept homeworks until 11:00 Thursday • Quiz Tuesday – Turing machine definition, calculation, and design • Tests will be returned next Tuesday • Ignore comment about tutorials being cancelled

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September 29, 2005 Formal definition of a TM Definition: A Turing machine is a 7- tuple (Q, Σ , Γ , δ ,q 0 ,q accept ,q reject ), where Q, Σ , and Γ are finite sets and 1. Q is the set of states, 2. Σ is the input alphabet not containing the special blank symbol ~ 3. Γ is the tape alphabet, where ~ ∈Γ and Σ⊆Γ , 4. δ : Q ×Γ→ Q ×Γ× {L,R} is the transition function,
September 29, 2005 Formal definition of a TM Definition: A Turing machine is a 7- tuple (Q, Σ , Γ , δ ,q 0 ,q accept ,q reject ), where Q, Σ , and Γ are finite sets and 5. q 0 Q is the start state, 6. q accept Q is the accept state, and 7. q reject Q is the reject state, where q reject q accept

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Computing with a TM • M receives input w = w 1 w 2 …w n ∈Σ * on leftmost n squares of tape – Rest of tape is blank (all ~ symbols) • Head position begins at leftmost square of tape
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September 29 - CSCI 2670 Introduction to Theory of...

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