Lat18
Logic and Automata Theory
Lecturer: Radu_Iosif
Objectives: Many major hardware (Intel, IBM) and software (Microsoft) companies are now using the technique of Model Checking in practice. Examples of its use include the verification of VLSI circuits, communication protocols, software device drivers, real-time embedded systems, and security algorithms. The works of A. Pnueli, E. Clarke, E.A Emerson and J. Sifakis on algorithmic verification of systems using the Model Checking has been awarded the 1996 and 2007 Turing awards. The basis of this work is the relation of logic with automata theory, which was introduced by the seminal works of Buechi (1960) and Rabin (1969). This course is intended to introduce the student to these techniques, focusing on decision methods for classical non-interpreted logics and integer arithmetic theories.
Syllabus:
- Classical first- and second-order logic, finite word and tree automata, closure properties and language emptiness.
- Relationship between Weak Monadic Second-Order Logic and finite automata.
- Infinite automata on words (Buechi, Mueller) and on trees (Rabin) automata, and their relationship with Monadic Second-Order Logic.
- Game theory. Proof of Rabin's Complementation Theorem. Application of game theory to logic.
Prerequisites: basic notions of boolean logic
Level: PhD and Master 2
Schedule: Thursdays between 10h00 and 13h00
- Oct 04: Introduction, First and Second Order Logics
- Oct 11: Automata on Finite Words
- Oct 18: Automata on Infinite Words
- Oct 25: Linear Temporal Logic
- Nov 01: Automata on Finite Trees
- Nov 08: Automata on Infinite Trees
- Nov 15: Game Theory Motivation, Terminology, Reachability and Buchi games
- Nov 29: Parity games Games and Tree Automata
Location: IMAG building, Room: TBA
Register:
- send email to Radu.Iosif@univ-grenoble-alpes.fr indicating your name and year of Phd/Master program
- for PhD students, indicate also your host laboratory and name of your PhD advisor
