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TM - Harvard CS 121 and CSCI E-207 Lecture 12 Turing...

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Harvard CS 121 and CSCI E-207 Lecture 12: Turing Machines Harry Lewis October 15, 2009 Reading: Sipser, § 3.1.
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Harvard CS 121 & CSCI E-207 October 15, 2009 Turing Machines Objective: Define a computational model that is General-purpose: (as powerful as programming languages) Formally Simple: (we can prove what cannot be computed) 1
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Harvard CS 121 & CSCI E-207 October 15, 2009 The Origin of Computer Science Alan Mathison Turing “On Computable Numbers, with an Application to the Entscheidungsproblem” 1936 11/02 turing.jpg 170 ! 201 pixels 2
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Harvard CS 121 & CSCI E-207 October 15, 2009 What Problem Was Turing Trying to Solve? David Hilbert “Mathematical Problems” 1900 3
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Harvard CS 121 & CSCI E-207 October 15, 2009 The Logicians Kurt G¨odel “On Formally Undecidable Propositions . . . ” 1931 Alonzo Church “An Unsolvable Problem of Elementary Number Theory” 1936 4
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Harvard CS 121 & CSCI E-207 October 15, 2009 The Basic Turing Machine a a b a F.C. Head can both read and write, and move in both directions Tape has unbounded length is the blank symbol. All but a finite number of tape squares are blank.
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