CS-550 / 8 crédits

Enseignant: Kuncak Viktor

Langue: Anglais

Remark: This course is a "depth" for Cyber Security master program and Cyber Security minor.


Summary

We introduce formal verification as an approach for developing highly reliable systems. Formal verification finds proofs that computer systems work under all relevant scenarios. We will learn how to use formal verification tools and explain the theory and the practice behind them.

Content

Topics may include (among others) some of the following:

  • Methodology of Formal Verification
  • Review of Sets, Relations, Propositional and First-Order Logic
  • Completeness and Semi-Decidability for First-Order Logic Proof Systems
  • State Machines. Transition Formulas. Traces. Strongest Postconditions and Weakest Preconditions.
  • Hoare Logic. Inductive Invariants. Well-Founded Relations and Termination Measures
  • Proof Assistants such as Lisa and Lean
  • SAT Solvers and Bounded Model Checking
  • Loop Invariants. Hoare Logic. Statically Checked Function Contracts. Relational Semantics and Fixed-Point Semantics
  • Symbolic Execution. Satisfiability Modulo Theories
  • Abstract Interpretation

Learning Prerequisites

Recommended courses

CS-320 Computer language processing

Important concepts to start the course

Discrete Mathematics (e.g. Kenneth Rosen: Discrete Mathematics and Its Applications)

Learning Outcomes

By the end of the course, the student must be able to:

  • Formalize specifications
  • Synthesize loop invariants
  • Specify software functionality
  • Generalize inductive hypothesis
  • Critique current software development practices
  • Formalize specifications
  • Synthesize loop invariants
  • Specify software functionality
  • Generalize inductive hypothesis
  • Critique current software development practices

Teaching methods

Instructors will present lectures and exercises and supervise labs on student laptops.

Expected student activities

Follow the course materials, take mid-term, and complete and explain projects during the semester.

Assessment methods

The grade is based on the written mid-term, as well as code, documentation, and explanation of projects during the semester. Specific percentages will be communicated in the first class.

Supervision

Office hours Yes
Assistants Yes
Forum Yes

Resources

Bibliography

  • Harrison, J. (2009). Handbook of Practical Logic and Automated Reasoning. Cambridge: Cambridge University Press. doi:10.1017/CBO9780511576430
  • Aaron Bradley and Zohar Manna: The Calculus of Computation - Decision Procedures with Applications to Verification, Springer 2007.
  • Michael Huth and Mark Rayan: Logic in Computer Science - Modelling and Reasoning about Systems. Cambridge University Press 2004.
  • Handbook of Model Checking, https://www.springer.com/de/book/9783319105741 Springer 2018. Including Chapter Model Checking Security Protocols by David Basin.
  • Tobias Nipkow, Gerwin Klein: Concrete Semantics with Isabelle/HOL. http://concrete-semantics.org/concrete-semantics.pdf
  • Nielson, Flemming, Nielson, Hanne R., Hankin, Chris: Principles of Program Analysis. ISBN 978-3-662-03811-6. Springer 1999.
  • Peter B. Andrews: An Introduction to Mathematical Logic and Type Theory (To Truth Through Proof), Springer 2002.
  • http://logitext.mit.edu/tutorial

Ressources en bibliothèque

Notes/Handbook

See sldes on course page

Websites

Videos

Prerequisite for

MSc thesis in the LARA group

Dans les plans d'études

  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Formal verification
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines
  • Projet: 2 Heure(s) hebdo x 14 semaines
  • Type: obligatoire
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Formal verification
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines
  • Projet: 2 Heure(s) hebdo x 14 semaines
  • Type: obligatoire
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Formal verification
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines
  • Projet: 2 Heure(s) hebdo x 14 semaines
  • Type: optionnel
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Formal verification
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines
  • Projet: 2 Heure(s) hebdo x 14 semaines
  • Type: optionnel
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Formal verification
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines
  • Projet: 2 Heure(s) hebdo x 14 semaines
  • Type: optionnel
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Formal verification
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines
  • Projet: 2 Heure(s) hebdo x 14 semaines
  • Type: optionnel
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Formal verification
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines
  • Projet: 2 Heure(s) hebdo x 14 semaines
  • Type: optionnel
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Formal verification
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines
  • Projet: 2 Heure(s) hebdo x 14 semaines
  • Type: optionnel
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Formal verification
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines
  • Projet: 2 Heure(s) hebdo x 14 semaines
  • Type: obligatoire
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Formal verification
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines
  • Projet: 2 Heure(s) hebdo x 14 semaines
  • Type: optionnel
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Formal verification
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines
  • Projet: 2 Heure(s) hebdo x 14 semaines
  • Type: optionnel

Semaine de référence

Jeudi, 15h - 17h: Cours GRA330

Jeudi, 17h - 19h: Exercice, TP GRA330

Vendredi, 13h - 15h: Projet, labo, autre DIA004

Cours connexes

Résultats de graphsearch.epfl.ch.