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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 Yesterday Turing machines Today ContinueTuring Machines
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September 29, 2005 Announcements Homework due Wednesday 3.2 c & e, 3.6, 3.8 b, 3.12, 3.13 I will accept homeworks until 11:00 Thursday Quiz Tuesday Turing machinedefinition, 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, 1. Σ is the input alphabet not containing the special blank symbol ~ 2. Γ is the tape alphabet, where ~ ∈Γ and Σ⊆Γ , 3. δ : Q × Γ→ Q × Γ× {L,R} is the transition function,
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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 0 Q is the start state, 2. q accept Q is the accept state, and 3. q reject Q is the reject state, where q reject q accept
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September 29, 2005 Computing with a TM M receives input w = w 1 w 2 …w n ∈Σ * on leftmost n squares of tape Rest of tapeis blank (all ~ symbols) Head position begins at leftmost square of tape Computation follows rules of δ Head never moves left of leftmost square of the tape If δ says to moveL, head stays put!
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