Reductions and NP-Completeness
A giraffe with its long neck is a very different beast than a mouse, which is different from a snake. However, Darwin and gang observed that the first two have some key similarities, both being social, nursing their young, a
Lab 2
CSE4210
Winter 2012
Dept. of Computer Science and Engineering CSE4210 Architecture and Hardware for DSP Lab 2 Floating Point Multipliers
Introduction
This lab will introduce you to floating point numbers. You will be asked to design a floating point
CSE 4215 : Lab 1 Multipath Propagation Issued January 12, 2009; Due January 27, 2012 In this lab, you will explore the features of plane-earth multipath propagation. Assume that the transmitting antenna is located at height hT, the receiving antenna is lo
CSE 4215 : Lab 2 Multiple Access with Collision Avoidance Issued February 3, 2012; Due February 17, 2012. In this lab, you will simulate the operation of the Multiple Access with Collision Avoidance (MACA) protocol. Consider a discretetime implementation
Mobile communications - Mobile communications is wireless and almost all wireless communications is radio - Wireless and radio basics: Electromagnetic waves, transmission, reception, bandwidth EM waves and early radio - Radio makes use of electromagnetic
CSE 4215 : Problem Set 1 1. For an arbitrary signal x(t), demonstrate (with equations) the operations of modulation and demodulation by a carrier frequency fc. Explain, making reference to the Fourier transform, why low-pass filtering is required as part
Inapproximability for planar embedding problems
Jeff Edmonds1 Anastasios Sidiropoulos2
1 York University 2 TTI-Chicago 3 University of Toronto
Anastasios Zouzias3
January, 2010
A. Zouzias (University of Toronto)
Inapproximability for planar embedding prob
Abstract Thinking, Intro to the Theory of Computation SC/COSC 2001 3.0 Lecture Notes
Jeff Edmonds Winter 99-00, Version 0.2
Contents
1 Preface 2 DFAs, Iterative Programs, and Loop Invariants 2.1 2.2 2.3 2.4 Different Models and Notations for Simple Device
Chapter 2 Using Hardware Description Language Verilog
CSE4210 Winter 2012
Mokhtar Aboelaze based on slides by Dr. Shoab A. Khan
Overview
Algorithm development isa usually done in MATLAB, C, or C+ Code must be structured such that H/W and S/W designers ca
Welcome
Jeff Edmonds www.cse.yorku.ca\~jeff [email protected] CSB 3044, ext. 33295 416-538-7413
Jeff Edmonds York University
Lecture 0
COSC 4111 1
Course Material
www.cse.yorku.ca\~jeff\courses\4111
2
Course Material
www.cse.yorku.ca\~jeff\courses\4111\sy
Reductions to the Halting Problem
Different Models Reductions Simple Reductions Rice's Theorem Reverse Reduction Acceptable The Post Correspondence Prob Tiling CFG G Generates I CFG G Generates Every String CFG G Generates Some String CFG L(G)=L(G') Game
History Gdel's Incompleteness Halting Math Truth
No Proof System for Number Theory Reduction to Halting Problem
Lecture 3
Jeff Edmonds York University COSC 4111
History of Proofs
Euclid said, " Let there be proofs"
Euclid (300 BC)
And it was good.
History
CSE 4111 Computability & COSC 6111 Advanced Design and Analysis of Algorithms
Je Edmonds
Assignment 0: Quantiers
Due: One week after rst class.
First Person:
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Second Person:
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Ema
CSE 4111 Computability
Je Edmonds
Assignment 4: Reductions for Uncomputable Problems
Due: One week after shown in slides
First Person:
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Guidelines:
You ar
CSE 4111 Computability
Je Edmonds
Assignment 1
Due: One week after shown in slides
First Person:
Family Name:
Given Name:
Student #:
Email:
Second Person:
Family Name:
Given Name:
Student #:
Email:
Guidelines:
You are strongly encouraged to work in group
CSE 4111 Computability Classes
Je Edmonds
Assignment 2
Due: One week after shown in slides
First Person:
Family Name:
Given Name:
Student #:
Email:
Second Person:
Family Name:
Given Name:
Student #:
Email:
Guidelines:
You are strongly encouraged to work
CSE 4111/5111/6111 Computability
Je Edmonds
Assignment 3: Diagonalization & Halting Problem
Due: One week after shown in slides
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Lab 1
CSE4210
Winter 2012
Dept. of Computer Science and Engineering CSE4210 Architecture and Hardware for DSP Lab 1 Fast adders
In this lab you will design, synthesize, and simulate a carry ripple adder, and a conditional sum adder. Carry select adder. Th
YORK UNIVERSITY
CSE4210
Chapter 3 Pipelining and parallel Processing
CSE4210 Winter 2012
Mokhtar Aboelaze
YORK UNIVERSITY
CSE4210
Introduction
Retiming is a transformation technique that is used to change the locations of delay elements in a circuit with
YORK UNIVERSITY
CSE4210
Chapter 3 Pipelining and parallel Processing
CSE4210 Winter 2012
Mokhtar Aboelaze
YORK UNIVERSITY
CSE4210
Pipelining - Introduction
Pipelining can be used to reduce the the critical path. That can lead to either increasing the clo
Possible Questions to Add to Notes
1. For many computational problems there is a trade off between the time and the amount of memory needed. There are algorithms that use minimal time but lots of memory and algorithms that use minimal memory but lots of t
CSE 200 Computability and Complexity Homework 1 Models of Computation and Undecidability Spring, 2010
Chris Calabro and Russell Impagliazzo April 23, 2010
2D TM We show how to simulate a 2D TM on a 5-tape TM with polynomial overhead. The two dimensional T
CSE 200 HW 2 Solutions
Russell Impagliazzo with Chris Calabro May 12, 2010
1
Restricted 3-SAT
Show that 3-SAT remains N P -complete when restricted to formulas where every variable appears in at most three clauses. Since we can verify that a formula has t
CSE 200 Computability and Complexity Calibration Homework Due April 7
March 29, 2010
1. Let Regk be the class of languages accepted by a deterministic finite automaton with at most k states. Prove that for every k > 0, Reg k is a strict subset of Regk+1 .
CSE 200 Spring 2010 Calibration Homework Solutions
Chris Calabro and Russell Impagliazzo April 11, 2010
1
Regular languages
Prove that Regk+1 is a proper superset of Regk . It is immediate from the definition that Regk+1 is a superset of Regk . We need to
University of California at San Diego Computer Science and Engineering Course: CSE 200 Handout 1: Course Information Instructor: Russell Impagliazzo
Spring, 2010
CSE 200: COMPUTABILITY AND COMPLEXITY
Meets: M,W 3:30-4:50, CSE (EBU3b) 2154 Instructor:Russe
CSE 200 Final Exam Due Wed. June 9 at 1 AM (OK, I won't actually check until I get in in the morning. But all exams must be turned in before I arrive in my office.) Answer four out of five questions with an informal, but complete, proof. You may not discu
CSE 200 Computability and Complexity Homework 3 The class NP and beyond, Completeness, and Reductions Polynomial-time Hierarchy Space Complexity Due May 26
May 11, 2010
Give proofs for each problem. Proofs can be high-level, but be precise. You may use wi
Exercise Set 1
CSE4210
Winter 2012
Dept. of Computer Science and Engineering CSE4210 Architecture and Hardware for DSP Exercise Set 1
1. Consider Q5.2 fixed point representation using 2's complement. Multiply 3.25 by -2.5 (show the details of your work 2.