Difference between revisions of "Lat"

From Numerical Transition Systems
Jump to: navigation, search
Line 41: Line 41:
 
[http://www.ens-lyon.fr/DI/?p=2320 ER01 : vérification et certification du logiciel]
 
[http://www.ens-lyon.fr/DI/?p=2320 ER01 : vérification et certification du logiciel]
  
* First part: {{:mc1.pdf|mc1.pdf}}
+
* First part: [http://www-verimag.imag.fr/~iosif/LAT/mc1.pdf mc1.pdf]
* Second part: {{:mc2.pdf|mc2.pdf}}
+
* Second part: [http://www-verimag.imag.fr/~iosif/LAT/mc2.pdf mc2.pdf]
 
* Related software: http://www-verimag.imag.fr/~iosif/jcat
 
* Related software: http://www-verimag.imag.fr/~iosif/jcat
  
Line 59: Line 59:
  
 
'''Outline of the first week''' (19/04/2010 - 24/04/2010) :
 
'''Outline of the first week''' (19/04/2010 - 24/04/2010) :
* //Monday.// Introduction, First and Second Order Logics {{:w1_mon.pdf}} (4h, Radu Iosif)
+
* //Monday.// [http://www-verimag.imag.fr/~iosif/LAT/w1_mon.pdf Introduction, First and Second Order Logics] (4h, Radu Iosif)
* //Tuesday.// Automata on Finite Words. Definitions of Recognizability {{:w1_tue.pdf}} (4h, Radu Iosif)
+
* //Tuesday.// [http://www-verimag.imag.fr/~iosif/LAT/w1_tue.pd fAutomata on Finite Words. Definitions of Recognizability] (4h, Radu Iosif)
* //Wednesday.// Regular, Star Free and Aperiodic Languages {{:w1_wed.pdf}} (4h, Radu Iosif)
+
* //Wednesday.// [http://www-verimag.imag.fr/~iosif/LAT/w1_wed.pdf Regular, Star Free and Aperiodic Languages] (4h, Radu Iosif)
* //Thursday.// Automata on Infinite Words {{:w1_thu.pdf}} (4h, Radu Iosif)
+
* //Thursday.// [http://www-verimag.imag.fr/~iosif/LAT/w1_thu.pdf Automata on Infinite Words] (4h, Radu Iosif)
* //Friday.// The McNaughton, Buechi and Ramsey Theorems {{:w1_fri.pdf}} (4h, Radu Iosif)
+
* //Friday.// [http://www-verimag.imag.fr/~iosif/LAT/w1_fri.pdf The McNaughton, Buechi and Ramsey Theorems] (4h, Radu Iosif)
* //Saturday.// Linear Temporal Logic {{:w1_sat.pdf}} (4h, Radu Iosif)
+
* //Saturday.// [http://www-verimag.imag.fr/~iosif/LAT/w1_sat.pdf Linear Temporal Logic] (4h, Radu Iosif)
  
 
'''Outline of the second week''' (24/05/2010 - 29/05/2010) :
 
'''Outline of the second week''' (24/05/2010 - 29/05/2010) :
* //Monday.// Automata on Finite Trees {{:w2_mon.pdf}} (4h, Radu Iosif)
+
* //Monday.// [http://www-verimag.imag.fr/~iosif/LAT/w2_mon.pdf Automata on Finite Trees] (4h, Radu Iosif)
* //Tuesday.// Automata on Infinite Trees {{:w2_tue.pdf}} (4h, Radu Iosif)
+
* //Tuesday.// [http://www-verimag.imag.fr/~iosif/LAT/w2_tue.pdf Automata on Infinite Trees] (4h, Radu Iosif)
* //Wednesday.// Motivation {{:w2_wed_1.pdf}}, Terminology {{:w2_wed_2.pdf}}, Reachability and Buchi games {{:w2_wed_3.pdf}} (4h, Barbara Jobstmann)
+
* //Wednesday.// [http://www-verimag.imag.fr/~iosif/LAT/w2_wed_1.pdf Motivation], [http://www-verimag.imag.fr/~iosif/LAT/w2_wed_2.pdf Terminology], [http://www-verimag.imag.fr/~iosif/LAT/w2_wed_3.pdf Reachability and Buchi games] (4h, Barbara Jobstmann)
* //Thursday.// Obligation and weak-parity games {{:w2_thu_1.pdf|}}, Parity games {{:w2_thu_2.pdf|}} (4h, Barbara Jobstmann)
+
* //Thursday.// [http://www-verimag.imag.fr/~iosif/LAT/w2_thu_1.pdf Obligation and weak-parity games], [http://www-verimag.imag.fr/~iosif/LAT/w2_thu_2.pdf Parity games] (4h, Barbara Jobstmann)
* //Friday.// Games and tree automata {{:w2_fri_1.pdf|}}, Quantitative Verification and Synthesis {{:quantitative-synthesis-p4.pdf|}}, Mean-payoff games {{:w2_fri_3.pdf|}} (4h, Barbara Jobstmann)
+
* //Friday.// [http://www-verimag.imag.fr/~iosif/LAT/w2_fri_1.pdf Games and tree automata], [http://www-verimag.imag.fr/~iosif/LAT/quantitative-synthesis-p4.pdf Quantitative Verification and Synthesis], [http://www-verimag.imag.fr/~iosif/LAT/w2_fri_3.pdf Mean-payoff games] (4h, Barbara Jobstmann)
* //Saturday.// Integer Arithmetic, Presburger Arithmetic and Semilinear Sets {{presburger-slide.pdf}}. Definability and Recognizability {{recognizable-slide.pdf}} (4h, Radu Iosif)
+
* //Saturday.// [http://www-verimag.imag.fr/~iosif/LAT/presburger-slide.pdf Integer Arithmetic, Presburger Arithmetic and Semilinear Sets]. [http://www-verimag.imag.fr/~iosif/LAT/recognizable-slide.pdf Definability and Recognizability] (4h, Radu Iosif)

Revision as of 11:36, 13 February 2013

Logic and Automata Theory

Lecturers: Radu Iosif and Barbara Jobstmann

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 Mu-calculus, a widely used tool for specification and verification of systems.
  • Logical theory of integer arithmetic. Decidability results using both quantifier elimination and automata theory. Cobham's base dependence theorem.

Similar or related lectures:

Bibliography

Software

ENS Lyon Course on Automata-Theoretic Model Checking

ER01 : vérification et certification du logiciel

Ecole Doctorale Grenoble

Ecole Doctorale Mathématiques, Sciences et Technologies de l'Information, Informatique

Slides for lectures on game theory (23/11/2010 and 30/11/2010)

SNSB Bucharest

Scoala Normala Superioara Bucharest (SNSB)


Outline of the first week (19/04/2010 - 24/04/2010) :

Outline of the second week (24/05/2010 - 29/05/2010) :