The set of topics and especially the dates when each topic will be discussed
is subject to change.
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Lecture |
Date |
Topic |
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1 |
Tue, Aug. 31 |
Course overview, motivation and historical perspective. A language and its operational sematics (PDF) |
Winskel chapter 2 |
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2 |
Thu, Sep. 2 |
Axiomatic Semantics. Hoare Rules (PDF) |
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3 |
Tue, Sep.7 |
Weakest preconditions. Verification condition generation (same slides as above). |
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4 |
Thu, Sep. 9 |
VC Generation by Symbolic Evaluation Extensions and Pitfalls of VC Generation (same slides as above). |
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5 |
Tue, Sep.14 |
Finish VC Generation (same slides as above). |
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6 |
Thu, Sep. 16 |
Theories. Decision Procedures. (PDF) |
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7 |
Tue, Sep. 21 |
The Nelson-Oppen prover architecture (PDF) |
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8 |
Thu, Sep. 23 |
Proof generation for Nelson-Oppen Provers. Proof representation. (same slides as above) |
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9 |
Tue, Sep. 28 |
Linear Arithmetic Algorithms: (some of) Pratt, Shostak, Fourier-Motzkin, SUP-INF (PDF) |
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10 |
Thu, Sep. 30 |
Linear Arithmetic: Simplex (same slides as above) |
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11 |
Tue, Oct. 5 |
ACL2 prover (lecture by J. Strother Moore) |
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12 |
Thu, Oct. 7 |
Equality and Congruence Closure (PDF) |
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13 |
Tue, Oct. 12 |
Finding Satisfiability Procedures based on Congruence Closure: Lists, Arrays (same slides as above) |
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14 |
Thu, Oct. 14 |
Java Modeling Language and ESC-Java (Marco Zennaro) (PDF) |
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15 |
Tue, Oct. 19 |
Tactic Based Theorem Proving (PDF) |
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16 |
Thu, Oct. 21 |
Reasoning about pointer-based data structures (Scott McPeak) (PDF) |
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17 |
Tue, Oct. 26 |
More pointer-based data structures (Scott McPeak) (same slides as above) |
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Thu, Oct. 28 |
No lecture |
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18 |
Tue, Nov. 2 |
Interactive Theorem Proving with CoQ (Adam Chlipala) (PDF) |
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Thu, Nov. 4 |
No lecture |
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19 |
Tue, Nov. 9 |
Randomized decision procedures (Sumit Gulwani) |
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Thu, Nov. 11 |
Veterans Day |
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20 |
Tue, Nov. 16 |
Synthesizing |
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21 |
Thu, Nov. 18 |
Lazy Abstraction (Ranjit Jhala) |
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22 |
Tue, Nov. 23 |
Lazy Abstraction (Ranjit Jhala) |
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Thu, Nov. 25 |
Thanksgiving |
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23 |
Tue, Nov. 30 |
Temporal Logics (Arindam Chakrabarti) (PDF) |
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24 |
Thu, Dec. 2 |
SAT solvers (Manu Shridharan) (PDF) |
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25 |
Tue, Dec . 7 |
Decision Procedures based on SAT solvers (Evan Chang) |
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26 |
Thu, Dec. 9 |
Project presentations |
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The textbooks referenced above are the following:
·
Glynn Winskel, “The Formal Semantics of
Programming Languages”, MIT press, ISBN 0-262-23169-7, 1996 edition.