Syllabus
Office:
Office hours:
Email:
Phone:
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WVH 332
by appointment
pete@ccs
617-373-3694
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Course number:
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Locations:
 
 
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CS G379
http://www.ccs.neu.edu/~pete/courses/Decision-Procedures/2007-Fall/
Wednesday 4:30PM-6:00PM in 366 West Village Bldg H
Exceptions: On 10/3, 10/17, 10/24, and 11/7 we will meet in Room 166 (same building)
Friday 3:25PM-5:05PM in 270 West Village Bldg F
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Course Description
This is a course on the state of the art in practical decision
procedures for various fragments of logic arising in software and
hardware verification. We will cover decision procedures for logics
ranging from propositional logic to temporal logic to logics that
include arithmetic, uninterpreted functions, equality, arrays, etc.
We will also discuss abstraction, refinement, how to combine decision
procedures, and the ACL2 theorem proving system.
Teaching Philosophy
My goal is to help you develop into critical,
independent-thinking, and creative scientists. In this course, I
will try to do this by giving you opportunities to grapple with
and gain technical mastery of recent results in decision
procedures. You gain technical mastery by doing and, for the
most part, this occurs outside of the class. My role is to create
the opportunity for learning; it is only with your active
participation that learning truly takes place.
During lectures I try to explain, clarify, emphasize,
summarize, encourage, and motivate. I can also answer questions,
lead discussions, and ask questions. In class you have an
opportunity to test your understanding, so things work best if
you come to class prepared. We can then focus on the interesting
issues, rather than on covering material that you could just as
easily find in the readings.
Textbooks
We will use the following textbook later in the semester.
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Computer-Aided
Reasoning: An Approach. Matt Kaufmann, Panagiotis Manolios, and J Strother
Moore. Kluwer Academic Publishers, June, 2000. (ISBN: 0-7923-7744-3)
Note: A paperback version is available on
the
Web. This is much cheaper than the hardcover
version.
The following books may be of interest, but are not required.
Before buying any of these books, I suggest that you
evaluate them carefully first.
- For students interested in ACL2 and/or
software/hardware case studies:
- Computer-Aided
Reasoning: ACL2 Case Studies. Matt Kaufmann, Panagiotis Manolios, and J
Strother Moore (eds.). Kluwer Academic Publishers, June, 2000. (ISBN: 0-7923-7849-0)
Note: I have a few copies that I can lend out for
the semester. Also, a paperback version is available on
the
Web. This is much cheaper than the hardcover
version.
- For students interested in mathematical logic:
-
Mathematical Logic, Second Edition. H.-D. Ebbinghaus and J.
Flum and W. Thomas. Springer-Verlag, 1994.
- For students interested in model checking:
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Model Checking. Edmund M. Clarke, Jr., Orna Grumberg, and Doron
A. Peled. MIT Press, 1999. (ISBN: 0-262-03270-8)
- For students interested in the theory of formal methods:
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Handbook of Automated Reasoning. In 2 volumes /Editors Alan Robinson
and Andrei Voronkov. Elsevier & MIT Press, 2001
(ISBN: 0-262-18223-8)
- Term Rewriting and All That. Franz Baader and Tobias
Nipkow. Cambridge University Press, 1998. (ISBN:
0-521-77920-0)
Grading
Your grade will be based on the following.
Homework:
Grading:
2 Exams:
Projects:
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30%
10%
40%
20%
|
Notes
- Various homework problems will be given, at the approximate
rate of one assignment per every two weeks. Late homeworks will
not be accepted.
- Each problem will be graded in a timely fasion by a class
member, who is also responsible for handing out solutions.
I will review the grading and the solutions you prepare and
will assign a grade based on both the quality and timeliness
of your work. If you grade an assignment,
you do not have to do it and automatically get an A on it,
but I expect you to fully understand it and the solutions
you distribute.
Part of the reason I am asking you to do
this is that I expect you will learn a great deal in the
process, e.g., students often choose to grade
homeworks that are giving them difficulty. In this way, the
impact on their grade is minimized and they get a chance to
really learn the material.
- You are expected to do the homework assignments on your own
without consulting other students or sources other than those
used in class, unless I state otherwise. You can talk to
one another about high-level ideas and you can consult
sources such as the Web about high-level ideas, but any
significant insights into assignments gained from any source
should be cited.
The reason I give you homework is to help
you understand the material and yourself. Sometimes things
that seemed obvious in class turn out to be more subtle than
you expected. Homework gives you the opportunity to show,
yourself primarily and me secondarily, that you understand
the concepts and their implications. Sometimes I also ask
that you read and develop some of the concepts on your own.
The material we covered in class should act as the
foundation that makes this possible.
I will also give you opportunities to work in teams.
Some of the homeworks and the project will allow you to work
with other students. I encourage you, but do not require
you, to do this.
- I will give you the exams after class and you will
have until the next day at 5PM to return them to me. I will
try to give you exams that take about 2 hours to complete.
This assumes that you prepared well for them and have
internalized all the main concepts. Please do not expect to
learn what you need while taking the exam; past experience
indicates that this is a bad idea. The reason I am giving
you about a day to complete the exam is that I do not want
you to stess over time constraints. (I feel compelled to say
that as a graduate student I found taking tough exams under
time constraints a useful experience.)
Here are the rules for the take-home exams. I trust you
to abide by them. Do not consult outside sources when
working on exams. You can use the class textbooks and
handouts that I gave you, but you cannot use any other
source without explicit permission from me. A corollary is
that there should be absolutely no discussion about any of
the exam questions, with anyone other than me.
- The projects can be group projects and can consists of 1,
2, or 3 people. They have to be cleared by me. During
class, I will toss out project ideas, but feel free to
suggest projects based on your interests.
Projects will be presented during class and a single
project report is required. In the past, several of these
reports have been turned into papers, so try to write it like
a conference paper.
Every member of the team will evaluate the contributions
of the other team members.
- You are expected to do the reading before class.
In class you have an opportunity to test your understanding,
so things work best if you come to class prepared. We can
then focus on the interesting issues, rather than on
covering material that you could just as easily find in the
readings.
Tentative Syllabus
Here is an overview of the material that I would like to cover.
Topics that start with "Tour" mean we will cover them at a
high-level. I reserve the right to make modifications based on
the interests of the class and/or time constraints.
- Boolean Satisfiability
- Efficiently decidable cases, including 2SAT & HORNSAT
- NP-Completeness: 3-SAT & variants
- Resolution
- DPLL (Davis-Putnam-Loveland-Logemann) algorithm
- Making DPLL fast: BCP, decision heuristics,
backjumping, conflict-driven learning, restarts, etc.
- Preprocessing & translation to CNF
- BDDs (Boolean Decision Diagrams)
- Equivalence checking
- Reductions to SAT
- Pseudo-Boolean satisfiability
- Bit-vectors
- Arrays
- Bounded model checking and k-induction
- Modeling & verification of systems
- Applications
- Decision Procedures
- Equality
- Uninterpreted functions
- Linear arithmetic
- Arrays
- Combining decision procedures
- Satisfiability modulo theories
- Tour of FOL First-Order Logic
- Syntax, semantics & model theory
- Godel's completeness theorem
- Undecidability of FOL & arithmetic
- FOL as the foundations of mathematics
- Godel's incompleteness theorems
- ACL2 (A Computational Logic for Applicative Common Lisp)
- The ACL2 programming language
- The ACL2 logic
- Mechanization of ACL2
- Simplification & rewriting
- Termination
- Verification case studies
- Tour of Model Checking
- Reactive systems
- Temporal calculi, mu-calculus, fixpoints
- Temporal logics (CTL*, LTL, CTL)
- Explicit model checking: algorithms, probabilistic verification & analysis
- Symbolic model checking: algorithms based on BDDs & SAT
- Tour of Refinement & Abstraction
- Simulation & bisimulation
- Refinement
- Conservative abstractions
- Abstract interpretation
Last modified: Fri Sep 7 10:34:49 EDT 2007