{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

AnthonyLoraPresentation-Cellular Automata

AnthonyLoraPresentation-Cellular Automata -...

Info icon This preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Click to edit Master subtitle style  8/1/11 Cellular Automata Anthony Lora
Image of page 1

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

View Full Document Right Arrow Icon
 8/1/11 What are Automata? Von Neuman’s Machine A Simple CA CA ?= TM Features Examples Outline
Image of page 2
 8/1/11 A self-operating machine or mechanism Automata Theory: Study of abstract, mathematical machines and systems. Includes: Deterministic Finite Automata (DFA) Nondeterministic Finite Automata (NFA)  Pushdown Automata (PDA) Turing Machines (TM) Cellular Automata (CA) What is an Automaton?
Image of page 3

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

View Full Document Right Arrow Icon
 8/1/11 Proposed by John von Neumann in the late 1940s  to model self-reproducing organisms If a machine were surrounded by “hardware soup,”  could it create a working copy of itself? Possible if the machine had a blueprint for itself Make a copy of the blueprint and use it as instructions for  building Stanislaw Ulam suggested using cells to represent  the parts Cellular Automata
Image of page 4
 8/1/11 One-dimensional array of cells Each cell has a state Time is divided into discrete units A function (the “local rule”) determines how cell  state changes State change determined by the cell’s state and the state  of its two neighbors At each clock tick, the local rule is run on the cells  in parallel A Simple CA
Image of page 5

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

View Full Document Right Arrow Icon
 8/1/11 Possible states: 0, 1 Rules: If 1, become 0 If 0 and neighbors are 0, then remain 0 If 0 and at least one neighbor is 1, then become 1 Example  {FE856E9C-8DB9-44A9-A001-73F4062A0D18} T = 0 {CEB93C6B-2282-44D5-AC62-766B50ABC583} 0 0 {E30A2193-7194-4984-AA9B-95812A79BD43} T = 1 1 {0F97DEEB-001A-4C07-A267-8CBEEC913580} T = 2 {394C42B3-CAE5-401D-A6C6-4E0F2065B9B0} 1 {98CD228B-8F57-4C5F-9BE3-3E132C8DC455} 0 {8582A31D-3F08-4FEB-9939-C47B5B536F64} {85C93448-E29D-4D69-AC52-DF83FFF597FE} {41EFDC27-3154-41B3-A8A8-5BD3110D4EB7} {FE856E9C-8DB9-44A9-A001-73F4062A0D18} T = 3 {CEB93C6B-2282-44D5-AC62-766B50ABC583} 1 0 {E30A2193-7194-4984-AA9B-95812A79BD43} T = 4 1 {0F97DEEB-001A-4C07-A267-8CBEEC913580} T = 5
Image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern