Automata, Computability and
Complexity with Applications
Exercises in the Book
Solutions
Elaine Rich
Part I: Introduction
1
Why Study Automata Theory?
2
Languages and Strings
1) Consider the language L = cfw_1n2n : n > 0. Is the string 122 in L?
No. Every
Final Exam
I have made a document about the final exam, and now share it with you.
To my knowledge, the document lacks a group of idioms, but I dont know which group the
lacking one is. If someone has the lacking group, please share it with us. Thanks a l
A Bridge Trafc Controller in NuSMV
In this question you have to use the NuSMV model checker (http:/nusmv.fbk.eu/) to design
and verify a traffic light controller for a bridge that has only one lane (for both directions).The
controller works as follows:
At
The world is your oyster: you should make your own decisions.
I havent seen you in ages/where have you been hiding?: long time to see
At 5 p.m. sharp/ at 8 oclock on the dot: a description of the exact time
You are a night owl: stay up too late
I am sick
Dining Philosophers
A round table has 5 philosophers sharing 5 forks as in Figure 1. We denote philosopher number i by phili
and fork number j by forkj (0 i, j 4). Each philosopher is in one of three states: thinking, hungry or
eating. Each fork is in one
149,
3
SPINing Elevators1
This exercise involves the use of the SPIN model checker to verify properties of a toy embedded system
an elevator controller. Information about SPIN is available at http:/spinroot.com.
A SPIN model for an elevator controller wi
FORMAL SPECIFICATION AND VERIFICATION OF
CONCURRENT AND REACTIVE SYSTEMS
By
Marjan Sirjani
SUBMITTED IN PARTIAL FULFILLMENT OF THE
REQUIREMENTS FOR THE DEGREE OF
DOCTOR OF PHILOSOPHY
AT
SHARIF UNIVERSITY OF TECHNOLOGY
AZADI AVE., TEHRAN IRAN
JUNE 2004
c C
arXiv:1208.3461v1 [cs.SE] 16 Aug 2012
Modeling and Verification of Agent based
Adaptive Traffic Signal using Symbolic Model
Verifier
Vivek Vishal, Sagar Gugwad and Sanjay Singh
August 20, 2012
Abstract
This paper addresses the issue of modeling and verifi
Running Head: GROUP POLICY PROCESSING
Group Policy Processing
(Students name)
(Institutions Name)
1
GROUP POLICY PROCESSING
2
Group policy refers to a feature of Microsoft Windows NT category of operating systems,
which are characterized by the control of
Running head:
OPEN-SOURCE SOFTWARE
1
Open-Source Software
Name of the Student
Institution Affiliation
OPEN-SOURCE SOFTWARE
2
Open-Source Software
Part I
An open-source software, also abbreviated as OSS, is characterized as a computer
software that contain
CommentsInvestmentGrowthModel
This example starts with "raw data" in the Parameters worksheet, consisting of an amount
of money (initial capital) and the investment and maturity dates.
The other data in the Parameters worksheet include the interest rate (
Duality
The idea of duality for sets is a little broader than exchanging union
for intersection and intersection for union to obtain a new set identity
from a proven set identity. Consider these elementary facts, with U a
universal set (all students in MC
Todays Topics
Define context free grammars.
Give some examples.
Chomsky normal form.
Converting to it.
Language structure and meaning
We want to know how meaning is mapped onto what language structures.
Commonly in English in ways like this:
[Thing The do
CSCI610: Sets
K. R. Kaplan
A set is a collection of elements (objects, members). We write
S=
cfw_e1, e2, e3, . , en
to denote a set (named S) with n elements (members). So, for example
A = cfw_a, b, c, d
B = cfw_a, b, c, d, f, h, k
N = cfw_1, 2, 3, 4, 5,
CS 5338 / 3378 Formal Languages / Theory of Automata
Assignment 5 (100 points, Chapters 11, 12)
Submission: hard copy in class, *.jff files to TRACS
1. (20) Let = cfw_a, b. For the languages that are defined by each of the following grammars, do
each of t
Context-Free Grammars
Chapter 11
Languages and Machines
Rewrite Systems and Grammars
A rewrite system (or production system or rule-based system) is:
a list of rules, and an algorithm for applying
them.
Each rule has a left-hand side and a right hand sid