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## FOUNDATNS OF COMPUTATION

by: Trace Mante MD

20

0

1

# FOUNDATNS OF COMPUTATION CSCE 355

Trace Mante MD

GPA 3.61

M. Matthews

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COURSE
PROF.
M. Matthews
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Computer Science and Engineering

This 1 page Class Notes was uploaded by Trace Mante MD on Monday October 26, 2015. The Class Notes belongs to CSCE 355 at University of South Carolina - Columbia taught by M. Matthews in Fall. Since its upload, it has received 20 views. For similar materials see /class/229579/csce-355-university-of-south-carolina-columbia in Computer Science and Engineering at University of South Carolina - Columbia.

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Date Created: 10/26/15
CSCE 355 Lecture 4 Outline September 8 2008 1 Induction Proofs format review Induction Proofs in HW 2233 2 W195 n71 commonly made mistakes A full complete tree with 11 leaves has 2n1 nodes Induction Proof Pseudo Pop Quiz Review For M Q E 6 go F path determined by input 6 string accepted by a DEA Language accepted by a DEA Examples given M what is LM Examples given L what is M with LM L Pigeon Hole Principle If take a string w with as many characters as states in DFA then the path speci ed must loop Notes on Website httpwwwcsescedu matthewsCourses355Lectureshtml Homework from email Ruby Simulation of DFA Handoutsdfa0rb more Examples Given M nd LM Example 24 Example exercise 224 a ending in 00 b with three consecutive 0 s c strings with 011 as a substring Given L1 and L2 and Machines M1 and M2 with L1 accepts L1 U L2 LMl and L2 7 7 LMg construct the DEA that Nondeterministic Finte Automata NFA 6 Q x E 7 2Q Homework page 54 225 b The set of all strings from 0 1 such that the tenth symbol from the right is a 1 page 54 225 c The set of all strings from 0 1 that either begin with 01 or end with 01 or both page 54 225 d The set of all strings from 0 1 such that the number of s is divisible by ve and the number of one s is divisible by 3 Given L1 and L2 and Machines M1 and M2 with L1 that accepts L1 L2 page 54 exercise 227 Let A be a DEA and q a particular state of A such that q a Symbols a Show by induction of the length of the input that for all strings w 6 q w 7 LMl and L2 7 LMZ construct the DEA 7 q for all input q Practice not to be submitted ie Solved ones on website 1 222 Induction 2

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