COMS 3261: Computer Science Theory
Problem Set 1, due Monday, 9/30/13, at the beginning of the class
Please follow the Homework Guidelines.
Try to make your answers as precise, succinct, and clear as
Columbia University
COMS W3261
Fall 2013
Solution to HW 5, Problem 1
Graded by Christian Moscardi
Q = cfw_q0 , q1 , q2 , q3 , qf
= cfw_0, 1, $
= cfw_0, 1, $,
is described below by the diagram.
q0
COMS 3261: Computer Science Theory
Midterm Exam, Tuesday March 23, 2010
This exam ends at 12:15 PM. It contains 4 problems, each of them composed of several parts.
There are 100 points in all, and you
COMS 3261: Computer Science Theory
Midterm Exam Solutions, Tuesday March 23, 2010
Problem 1. [24 points]
Answer the following questions. No explanations are needed.
1. [6 points] Give a regular expres
HW 2: Problem 1 solutions
Graded by: Luke Kowalczyk
(a)
(0 + 1) 1(0 + 1) 1(0 + 1) 1(0 + 1)
This regular expression (R.E.) species 3 literal ones, with any string in cfw_0, 1
possible on either side, s
COMS 3261: Computer Science Theory
Midterm Exam Solutions, Monday, October 21, 2013
Problems 1 and 2 graded by Arka, Problems 3 and 4 by Luke, Problem 5 by Karan, Problem
6 by Christian.
Problem 1. [1
COMS 3261: Computer Science Theory
Problem Set 2, due Monday, 10/14/13, at the beginning of the class
Please follow the Homework Guidelines.
Try to make your answers as precise, succinct, and clear as
COMS 3261: Computer Science Theory
Problem Set 4, due Wednesday, 11/13/13, at the beginning of the class
Please follow the Homework Guidelines.
Try to make your answers as precise, succinct, and clear
HW 3: Problem 1 solutions
Graded by: Luke Kowalczyk
(1a)
L = cfw_0i 1j |i 0, j 0
That is, the language generated consists of all strings of zero or more 0s followed
by zero or more 1s.
(From the start
COMSW3261
ComputerScienceTheory:Homework
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COMS W3261
Computer Science Theory
Solutions to Homework Assignment #4
November 12, 2014; due November 24, 2014
1. Classify each of the following languages as being (i) recursive, (ii) recursively
enu
HW 4: Problem 1 solutions
Graded by: Luke Kowalczyk
The Pumping Lemma for CFGs states:
If language L is context-free, then there exists some integer p 1 such that
every string s L can be written as s
COMSW3261
ComputerScienceTheory:Homework
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Department of Computer Science
Columbia University
Solutions to Final COMS W3261
Computer Science Theory
December 8, 2014
1:10-2:25pm
833 and 627 Mudd
Closed book, no aids. Do questions 1-10. Each que
Midterm Exam Guidelines
The midterm exam will be held on Monday October 21, at 1:10-2:25, in the usual classroom
Havemeyer 209. Make sure you arrive early and are seated by 1:05 so that we can distrib
COMS 3261: Computer Science Theory
Problem Set 5, due Monday, 11/25/13, at the beginning of the class
Please follow the Homework Guidelines.
Try to make your answers as precise, succinct, and clear as
1
Department of Computer Science
Columbia University
Solutions Final Review COMS W3261 December 3, 2014
Computer Science Theory
Briefly explain your solution to each of the following questions.
1. Do
COMS 3261: Computer Science Theory
Final Exam, Thursday April 29, 2010
This exam ends at 12:15 PM. It contains 5 problems, composed of several parts. There are 100
points in all, and you have 75 minut
COMS 3261: Computer Science Theory
Problem Set 3, due Wednesday, 10/30/13, at the beginning of the class
Please follow the Homework Guidelines.
Try to make your answers as precise, succinct, and clear
COMSW3261
ComputerScienceTheory:Homework
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COMS 3261: Computer Science Theory
Final Exam Solutions, April 29, 2010
Problem 1 [20 points]
For each of the following statements circle True or False. You do not need to justify your
answers.
1. If
COMS 3261: Computer Science Theory
Final Exam Solutions, Monday, December 9, 2013
Problem 1 [20 points]
For each of the following statements circle True or False. You do not need to justify your
answe
COMSW3261
ComputerScienceTheory
Lecture3:September16,2015
FiniteAutomataandRegularExpressions
Outline
Nondeterministic finite automata with epsilon transitions
Converting an -NFA to an equivalent DF
COMS3261:
Computer Science Theory
Fall 2013
Mihalis Yannakakis
Lecture 3, 9/11/13
Nondeterministic Finite Automaton
A = (Q, , , q0, F)
Only difference that transition function
Q
2Q = P(Q)
i.e., for
COMS3261:
Computer Science Theory
Fall 2013
Mihalis Yannakakis
Lecture 24, 12/2/13
Time Complexity
Time complexity of a Deterministic TM M:
T(n) = max # steps of M on inputs of length n
worst-case co
COMS3261:
Computer Science Theory
Fall 2013
Mihalis Yannakakis
Lecture 25, 12/4/13
NP = short, verifiable certificates
Verifier V: Polynomial time algorithm which checks that y
is a certificate for x
COMS 3261: Computer Science Theory
Problem Set 6, due Wednesday, 12/4/13, at the beginning of the class
No late days allowed for this homework.
Please follow the Homework Guidelines.
Try to make your
HW 6: Problem 1 solution
Graded by: Luke Kowalczyk
Recall:
A language L is decidable L = L(M ) for some Turing machine M such
that:
1. If w L, then M accepts.
2. If w L, then M halts without entering
Computer Science Theory HW#1 Solutions
Problem 1
(Karan Bathla)
a.
b. A(start), BAABABCC
c. accepted : 1, 101, 110110101110
unaccepted : 00, 0100, 11101001101
d. C is the death/trap state, all other s
Database Administration
Objectives / Learning Outcomes:
1. Create and maintain a database server
2. Implementing Database security policies
Task # 1 ( i need this task first to be ready within 5 days)
Applying Elementary Programming Concepts
cenario:
Your team has been hired by Flybai-Knight Auto (FKAuto) to help them
automate their antiquated operation for used cars sales. For your first
assignmen
Programming Assignment #4
Fall17
Dijkstras Algorithm Implementation
You will implement an algorithm developed by Edsger Dijkstra (1930-2002) to solve the
network shortest path problem in this lab.
In