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AnthonyLoraPresentation-Cellular Automata

# AnthonyLoraPresentation-Cellular Automata -...

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Click to edit Master subtitle style  8/1/11 Cellular Automata Anthony Lora

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8/1/11 What are Automata? Von Neuman’s Machine A Simple CA CA ?= TM Features Examples Outline
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?

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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
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

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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
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