Semantics and applications to verification
Sylvain Conchon, Antoine Miné and Xavier Rival
L3, École Normale Supérieure
The course takes place in Salle R, at École Normale Supérieure, on Wednesday afternoons, from 14h (2PM) till 17h30 (5.30PM).
In this lecture, we will study techniques for reasoning about programs, so as to verify correctness properties. We will first set up the foundations of the semantics of programming languages and the notion of program proofs, using Hoare triples. Then, we will formalize various kind of relevant properties (safety, liveness, security). Last, we will focus on approaches for automatic program verification (abstract interpretation based static analysis, model checking of finite systems, solving modulo theory): the inferrence of the proofs is then performed by another computer program.
You will find here the provisional course plan. The course plan will be updated progressively and the slides of the courses will be put on-line after each course, so, please consult this page regularly.
- Lesson 1, 12 February 2015: Introduction (Xavier Rival).
- Lesson 2, 18 February 2015: Operational Semantics (Xavier Rival).
- Lesson 3, 25 February 2015: Trace Properties (Xavier Rival).
- Lesson 4, 4 March 2015: Denotational Semantics (Antoine Miné).
- Lesson 5, 13 March 2015: The Coq proof assistant (Xavier Rival).
- Lesson 6, 18 March 2015: Types (Antoine Miné).
- Lesson 7, 25 March 2015: Axiomatic semantics (Antoine Miné).
- Lesson 8, 1 April 2015: Model-Checking Modulo Theories (Sylvain Conchon).
- Lesson 9, 8 April 2015: Satisfiability Modulo Theories (Sylvain Conchon).
- Lesson 10, 15 April 2015: Abstract interpretation I (Xavier Rival).
- Lesson 11, 6 May 2015: Abstract interpretation II (Antoine Miné).
- Lesson 12, 13 May 2015: Abstract interpretation III (Antoine Miné).
- Lesson 13, 20 May 2015: Abstract interpretation IV (Antoine Miné).
- Lesson 14, 27 May 2015: written exam.
The lab sessions are found here.
Two project topics are proposed:
The projects should be finished and submitted by the 27th of May 2015 (same date as for the written exam). Students may complete the project individually, or by group of two. The submitted version should include source code (with comments), test cases and a report.
The webpage of the course of year 2013-2014 can be found here.
The exam of the course of year 2013-2014 can be found here.