Parisian Master of Research in Computer Science
Master Parisien de Recherche en Informatique (MPRI)

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cours:c-2-9-1 [2019/10/11 11:57]
phs [Outline of the course]
cours:c-2-9-1 [2019/10/22 16:38] (current)
phs [Outline of the course]
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 Exercises for next time: 1.1, 1.2, 1.3, 1.22, 1.13, 1.14. Exercises for next time: 1.1, 1.2, 1.3, 1.22, 1.13, 1.14.
  
-2. Petri nets continued.  Dickson's original application. Our second operation on wqos: Higman's Lemma.  Applications: lossy channel systems.  The {{cours:upload:slides-2-9-1-cours2.pdf|slides}}. +2. 20 Sep. 2019: Petri nets continued.  Dickson's original application. Our second operation on wqos: Higman's Lemma.  Applications: lossy channel systems.  The {{cours:upload:slides-2-9-1-cours2.pdf|slides}}. 
 Exercises for next time: 1.6, 1.9, 1.29. Exercises for next time: 1.6, 1.9, 1.29.
  
  
-3. Multisets, finite sets, Rado's counterexample.  Van der Meyden's algorithm for satisfiability of disjunctive queries on indefinite databases.  A quick word on parameterized complexity.  Kruskal's theorem.  Application to the termination of rewriting systems.  The {{cours:upload:slides-2-9-1-cours3.pdf|slides}}. +3. 27 Sep. 2019: Multisets, finite sets, Rado's counterexample.  Van der Meyden's algorithm for satisfiability of disjunctive queries on indefinite databases.  A quick word on parameterized complexity.  Kruskal's theorem.  Application to the termination of rewriting systems.  The {{cours:upload:slides-2-9-1-cours3.pdf|slides}}. 
 Exercises for next time: 1.15, 1.5, 1.7, 1.8, 1.10, 1.11, 1.12. Exercises for next time: 1.15, 1.5, 1.7, 1.8, 1.10, 1.11, 1.12.
  
  
-4. Beyond trees: graph minors, and the Robertson and Seymour theorem (no proof).  Applications to algorithmic graph theory.  Beyond wqos: bqos, Noetherian spaces.  Ideals and irreducible (downwards-)closed subsets.  The {{cours:upload:slides-2-9-1-cours4.pdf|slides}}. +4. 4 Oct. 2019: Beyond trees: graph minors, and the Robertson and Seymour theorem (no proof).  Applications to algorithmic graph theory.  Beyond wqos: bqos, Noetherian spaces.  Ideals and irreducible (downwards-)closed subsets.  The {{cours:upload:slides-2-9-1-cours4.pdf|slides}}. 
  
 {{cours:upload:dm-2-9-1-2019.pdf|The homework assignment and midterm exam}}, to turn in either to Philippe Schnoebelen or by email to [[mailto:goubault@lsv.fr|Jean Goubault-Larrecq]], by October 18th, 2019, 8h30am CEST sharp. {{cours:upload:dm-2-9-1-2019.pdf|The homework assignment and midterm exam}}, to turn in either to Philippe Schnoebelen or by email to [[mailto:goubault@lsv.fr|Jean Goubault-Larrecq]], by October 18th, 2019, 8h30am CEST sharp.
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 5. 11 Oct. 2019 (Ph. Schnoebelen): Lossy channel systems and decidability (Sections 1.9 and 3.1). See also [[http://www.lsv.fr/Publis/PAPERS/PDF/phs-rp10.pdf|this paper]]. NB: Students interested in Presburger arithmetic will learn a lot by reading [[https://dl.acm.org/citation.cfm?id=3242964|this recent survival guide]]. 5. 11 Oct. 2019 (Ph. Schnoebelen): Lossy channel systems and decidability (Sections 1.9 and 3.1). See also [[http://www.lsv.fr/Publis/PAPERS/PDF/phs-rp10.pdf|this paper]]. NB: Students interested in Presburger arithmetic will learn a lot by reading [[https://dl.acm.org/citation.cfm?id=3242964|this recent survival guide]].
  
-6. Lossy counters are hard (Section 3): existence of Büchi runs is undecidable, reachability is Ackermann-hard.+6. 18 Oct. 2019: Lossy counters are hard (Section 3): existence of Büchi runs is undecidable, reachability is Ackermann-hard.
      
-7. Complexity Upper Bounds for WSTS (Section 2): Normed wqos and controlled bad sequences. The Length Function Theorem for polynomials nwqos.+7. 25 Oct. 2019: Complexity Upper Bounds for WSTS (Section 2): Normed wqos and controlled bad sequences. The Length Function Theorem for polynomials nwqos.
  
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-8. Ideals in wqos and symbolic algorithms + Revisions before the exam.+**No class on Nov 1st** (holidays). 
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 +8. Nov2019: Ideals in wqos and symbolic algorithms + Revisions before the exam.
  
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