COS126_Lecture19-20_Universality_Computability_Intractibility notes

COS126_Lecture19-20_Universality_Computability_Intractibility notes

• 3

This preview shows pages 1–2. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.
• Fall '08
• DOUGLASW.CLARK
• Computational complexity theory, Alan Turing, polynomial time

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern