Summary of Theoretical Classes

  1      2      3      4      5      6
  
7      8      9    10    11    12


1 - 13 sep 2018
Introduction + Constraint Propagation

  • Examples of decision (making) problems
  • Complexity and the need for search
  • Declarative Modeling with Constraints
  • Introduction to Comet
              slides

2 - 13 sep 2018
Constraint Propagation

  • Constraint Networks and Consistency Criteria
  • Node- and Arc-consistency
  • Enforcing Algorithms and their Complexity
              slides

3 - 20 sep 2018
Constraint Propagation

  • Higher Consistency Types: Path and i-consistency
  • Consistency and Satisfiability
  • Other Consistencies: Bounds- and SAC-Consistency
  • Non-Binary Networks and Generalised Arc-Consistency
              slides

4 - 27 oct 2018
Global Constraints

  • Global constraints
  • Domain-consistency and specialised propagation
  • Examples of Global Constraints in Comet
  • Redundant constraints
              slides + auxiliary

5 - 11 oct 2018
Heuristic Search

  • Variable and value selection
  • Static and dynamic heuristics
  • User defined heuristics
  • Advanced Search Techniques
              slides

6 - 18 oct 2018
Symmetries

  • Types of Symmetries
  • Symmetry Detection and Breaking
  • Symmetry Breaking by Reformulation
  • Symmetry Breaking before and during Serach
  •               slides

7 - 25 oct 2018
Introduction to Interval Constraints

  • Continuous Constraint Satisfaction Problems
  • Continuous Constraint Reasoning
  • Solving Continuous CSPs
  • Practical Examples
  •               slides

8 - 8 nov 2018
Continuous Domains and Interval Arithmetic

  • Representation of continuous domains
  • Interval arithmetic
  • Interval functions
              slides

9 - 15 nov 2018
Interval Newton Method

  • Newton Method for finding roots of univariate functions
  • Interval Extension of the Newton method
  • Properties of the Interval Newton method
  • Enclosing the zeros of a family of functions
              slides

10 - 22 nov 2018
Associating Narrowing Functions to Constraints

  • Projection Function and their enclosure
  • Constraint Decomposition method
  • Constraint Newton method
  • Complementary approaches
              slides

11 - 29 nov 2018
Constraint Propagation and Consistency Enforcement

  • Consistency Types (arc, interval, hull and box)
  • Constraint Propagation
  • Narrowing Functions and their Properties
  • Constraint Propagation Algorithm and its Properties
              slides

12 - 6 dec 2018
  • Modelling Techniques
  • Some Languages and Tools
  • Typical Benchmarks
  • Final Project
              slides