COS126_Lecture19-20_Universality_Computability_Intractibility notes

COS126_Lecture19-20_Universality_Computability_Intractibility notes

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Lecture 19... Audio recording started: 10:02 AM Tuesday, April 16, 2013 Power = the ability to do something at all (not necessarily how fast it can do it0. Turing machines & DFAs Turing machine add output and intermediate stuff Write a symbol to an active cell DFA is quite powerful (but we could accept strings of equal numbers of 1's and 0's) TM = better DFA A binary adder of 1 has 2 states (AKA) Continuous binary counter No arc labels 0 or 1 (see a zero keep going left/ same for seeing a 1) # is a space Binary decrement can be implemented 2 binary number can bed added together using a combination of the previous Turing machines displayed Only interested in it if the program and do something, not necessarily when there many values/variables Simulator, takes the description of some other program and pretends to run li within There's a great deal of this than... That's out mathematical/graphical representations of t Turing Machine Post's Correspondence Problem Moving around letters such that number s aligned Universal Turing Machine: We need a function that takes an input (Boolean?) whether there is a Turing Machine Can a program take itself as input
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  • Fall '08
  • DOUGLASW.CLARK
  • Computational complexity theory, Alan Turing, polynomial time

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