Global Constraint Catalog

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  • Title
  • Preface
  • Bibliography
  • Index
  • Content

  • 1. Getting started
  • 2. Describing Global Constraints
  • 3. Description of the Catalogue
  • 4. Further Topics
  • 5. Global Constraint Catalogue
  • 6. Legend for the Description

3. Description of the Catalogue

  • 3.1. Which global constraints are included?
  • 3.2. Which global constraints are missing?
  • 3.3. Searching in the catalogue
    • 3.3.1. How to see if a global constraint is in the catalogue?
    • 3.3.2. How to search for all global constraints sharing the same structure
      • 3.3.2.1. Searching from a graph property perspective
      • 3.3.2.2. Searching from an automaton perspective
      • 3.3.2.3. Searching from a first order logic perspective
    • 3.3.3. Searching all places where a global constraint is referenced
    • 3.3.4. Searching the mapping with a constraint of a concrete system
  • 3.4. Figures of the catalogue
  • 3.5. Constraints argument patterns
    • 3.5.1. Constraints with 1 argument
    • 3.5.2. Constraints with 2 arguments
    • 3.5.3. Constraints with 3 arguments
    • 3.5.4. Constraints with 4 arguments
    • 3.5.5. Constraints with 5 arguments
    • 3.5.6. Constraints with 6 arguments
    • 3.5.7. Constraints with 8 arguments
    • 3.5.8. Constraints with 10 arguments
  • 3.6. Meta-keywords attached to the keywords
    • 3.6.1. Application area
    • 3.6.2. Characteristic of a constraint
    • 3.6.3. Combinatorial object
    • 3.6.4. Complexity
    • 3.6.5. Constraint network structure
    • 3.6.6. Constraint type
    • 3.6.7. Constraint arguments
    • 3.6.8. Filtering
    • 3.6.9. Final graph structure
    • 3.6.10. Geometry
    • 3.6.11. Heuristics
    • 3.6.12. Miscellaneous
    • 3.6.13. Modelling
    • 3.6.14. Modelling exercises
    • 3.6.15. Problems
    • 3.6.16. Puzzles
    • 3.6.17. Symmetry
  • 3.7. Keywords attached to the global constraints
    • 3.7.1. 3-dimensional-matching
    • 3.7.2. 3-SAT
    • 3.7.3. Abstract interpretation
    • 3.7.4. Acyclic
    • 3.7.5. Air traffic management
    • 3.7.6. Alignment
    • 3.7.7. All different
    • 3.7.8. Alpha-acyclic constraint network(2)
    • 3.7.9. Alpha-acyclic constraint network(3)
    • 3.7.10. Apartition
    • 3.7.11. Arc-consistency
    • 3.7.12. Arithmetic constraint
    • 3.7.13. Array constraint
    • 3.7.14. Assigning and scheduling tasks that run in parallel
    • 3.7.15. Assignment
    • 3.7.16. Assignment dimension
    • 3.7.17. Assignment to the same set of values
    • 3.7.18. At least
    • 3.7.19. At most
    • 3.7.20. Automaton
    • 3.7.21. Automaton with array of counters
    • 3.7.22. Automaton with counters
    • 3.7.23. Automaton without counters
    • 3.7.24. Autoref
    • 3.7.25. Balanced assignment
    • 3.7.26. Balanced tree
    • 3.7.27. Berge-acyclic constraint network
    • 3.7.28. Binary constraint
    • 3.7.29. Bioinformatics
    • 3.7.30. Bipartite
    • 3.7.31. Bipartite matching
    • 3.7.32. Bipartite matching in convex bipartite graphs
    • 3.7.33. Boolean channel
    • 3.7.34. Boolean constraint
    • 3.7.35. Border
    • 3.7.36. Bound-consistency
    • 3.7.37. Business rules
    • 3.7.38. Centered cyclic(1) constraint network(1)
    • 3.7.39. Centered cyclic(2) constraint network(1)
    • 3.7.40. Centered cyclic(3) constraint network(1)
    • 3.7.41. Channel routing
    • 3.7.42. Channelling constraint
    • 3.7.43. Circuit
    • 3.7.44. Circular sliding cyclic(1) constraint network(2)
    • 3.7.45. Cluster
    • 3.7.46. Coloured
    • 3.7.47. Compulsory part
    • 3.7.48. Conditional constraint
    • 3.7.49. Configuration problem
    • 3.7.50. Connected component
    • 3.7.51. Consecutive loops are connected
    • 3.7.52. Consecutive values
    • 3.7.53. Constraint between two collections of variables
    • 3.7.54. Constraint between three collections of variables
    • 3.7.55. Constraint involving set variables
    • 3.7.56. Constraint on the intersection
    • 3.7.57. Constructive disjunction
    • 3.7.58. Contact
    • 3.7.59. Convex
    • 3.7.60. Convex bipartite graph
    • 3.7.61. Convex hull relaxation
    • 3.7.62. Conway packing problem
    • 3.7.63. Core
    • 3.7.64. Costas arrays
    • 3.7.65. Cost filtering constraint
    • 3.7.66. Cost matrix
    • 3.7.67. Counting constraint
    • 3.7.68. Cumulative longest hole problems
    • 3.7.69. Cycle
    • 3.7.70. Cyclic
    • 3.7.71. Data constraint
    • 3.7.72. Deadlock breaking
    • 3.7.73. Decomposition
    • 3.7.74. Decomposition-based violation measure
    • 3.7.75. DFS-bottleneck
    • 3.7.76. Demand profile
    • 3.7.77. Degree of diversity of a set of solutions
    • 3.7.78. Derived collection
    • 3.7.79. Difference
    • 3.7.80. Difference between pairs of variables
    • 3.7.81. Directed acyclic graph
    • 3.7.82. Disequality
    • 3.7.83. Disjunction
    • 3.7.84. Domain channel
    • 3.7.85. Domain definition
    • 3.7.86. Dominating queens
    • 3.7.87. Domination
    • 3.7.88. Dual model
    • 3.7.89. Duplicated variables
    • 3.7.90. Dynamic programming
    • 3.7.91. Empty intersection
    • 3.7.92. Entailment
    • 3.7.93. Equality
    • 3.7.94. Equality between multisets
    • 3.7.95. Equivalence
    • 3.7.96. Euler knight
    • 3.7.97. Excluded
    • 3.7.98. Extension
    • 3.7.99. Facilities location problem
    • 3.7.100. Floor planning problem
    • 3.7.101. Flow
      • 3.7.101.1. Flow models for 𝚊𝚕𝚕𝚍𝚒𝚏𝚏𝚎𝚛𝚎𝚗𝚝, 𝚘𝚙𝚎𝚗_𝚊𝚕𝚕𝚍𝚒𝚏𝚏𝚎𝚛𝚎𝚗𝚝
      • 3.7.101.2. Flow models for 𝚐𝚕𝚘𝚋𝚊𝚕_𝚌𝚊𝚛𝚍𝚒𝚗𝚊𝚕𝚒𝚝𝚢_𝚕𝚘𝚠_𝚞𝚙, 𝚐𝚕𝚘𝚋𝚊𝚕_𝚌𝚊𝚛𝚍𝚒𝚗𝚊𝚕𝚒𝚝𝚢_𝚕𝚘𝚠_𝚞𝚙_𝚗𝚘_𝚕𝚘𝚘𝚙
      • 3.7.101.3. Flow models for 𝚞𝚜𝚎𝚍_𝚋𝚢, 𝚜𝚊𝚖𝚎
      • 3.7.101.4. Flow model for 𝚜𝚊𝚖𝚎_𝚊𝚗𝚍_𝚐𝚕𝚘𝚋𝚊𝚕_𝚌𝚊𝚛𝚍𝚒𝚗𝚊𝚕𝚒𝚝𝚢_𝚕𝚘𝚠_𝚞𝚙
    • 3.7.102. Frequency allocation problem
    • 3.7.103. Functional dependency
    • 3.7.104. Geometrical constraint
    • 3.7.105. Golomb ruler
    • 3.7.106. Graph colouring
    • 3.7.107. Graph constraint
    • 3.7.108. Graph partitioning constraint
    • 3.7.109. Guillotine cut
    • 3.7.110. Hall interval
    • 3.7.111. Hamiltonian
    • 3.7.112. Heuristics
    • 3.7.113. Heuristics and Berge-acyclic constraint network
    • 3.7.114. Heuristics and lexicographical ordering
    • 3.7.115. Heuristics for two-dimensional rectangle placement problems
      • 3.7.115.1. Dual strategy for rectangle placement problems with no slack
      • 3.7.115.2. Strategy that gradually creates a compulsory part
    • 3.7.116. Hungarian method for the assignment problem
    • 3.7.117. Hybrid-consistency
    • 3.7.118. Hypergraph
    • 3.7.119. Included
    • 3.7.120. Inclusion
    • 3.7.121. Incompatible pairs of values
    • 3.7.122. Indistinguishable values
    • 3.7.123. Interval
    • 3.7.124. Joker value
    • 3.7.125. Klee's measure problem
    • 3.7.126. Latin square
    • 3.7.127. Lexicographic order
    • 3.7.128. Limited discrepancy search
    • 3.7.129. Linear programming
    • 3.7.130. Line-segments intersection
    • 3.7.131. Logic
    • 3.7.132. Logigraphe
    • 3.7.133. Magic hexagon
    • 3.7.134. Magic series
    • 3.7.135. Magic square
    • 3.7.136. Matching
    • 3.7.137. Matrix
    • 3.7.138. Matrix model
    • 3.7.139. Matrix symmetry
    • 3.7.140. Maximum
    • 3.7.141. Maximum clique
    • 3.7.142. Maximum number of occurrences
    • 3.7.143. maxint
    • 3.7.144. Metro
    • 3.7.145. Minimum
    • 3.7.146. Minimum cost flow
    • 3.7.147. Minimum feedback vertex set
    • 3.7.148. Minimum hitting set cardinality
    • 3.7.149. Minimum number of occurrences
    • 3.7.150. Modulo
    • 3.7.151. Multiset
    • 3.7.152. Multiset ordering
    • 3.7.153. No cycle
    • 3.7.154. No loop
    • 3.7.155. n-Amazon
    • 3.7.156. n-queen
    • 3.7.157. Non-deterministic automaton
    • 3.7.158. Non-overlapping
    • 3.7.159. Number of changes
    • 3.7.160. Number of distinct equivalence classes
    • 3.7.161. Number of distinct values
    • 3.7.162. Obscure
    • 3.7.163. One succ
    • 3.7.164. Open automaton constraint
    • 3.7.165. Open constraint
    • 3.7.166. Order constraint
    • 3.7.167. Orthotope
    • 3.7.168. Overlapping alldifferent
    • 3.7.169. Pair
    • 3.7.170. Packing almost squares
    • 3.7.171. Pallet loading
    • 3.7.172. Partition
    • 3.7.173. Path
    • 3.7.174. Partridge
    • 3.7.175. Pattern sequencing
    • 3.7.176. Pentomino
    • 3.7.177. Periodic
    • 3.7.178. Permutation
    • 3.7.179. Permutation channel
    • 3.7.180. Phi-tree
    • 3.7.181. Phylogeny
    • 3.7.182. Pick-up delivery
    • 3.7.183. Planarity test
    • 3.7.184. Polygon
    • 3.7.185. Positioning constraint
    • 3.7.186. Predefined constraint
    • 3.7.187. Preferences
    • 3.7.188. Producer-consumer
    • 3.7.189. Product
    • 3.7.190. Program verification
    • 3.7.191. Proximity constraint
    • 3.7.192. Quadtree
    • 3.7.193. Range
    • 3.7.194. Rank
    • 3.7.195. RCC8
    • 3.7.196. Reified automaton constraint
    • 3.7.197. Reified constraint
    • 3.7.198. Relation
    • 3.7.199. Relaxation
    • 3.7.200. Relaxation dimension
    • 3.7.201. Rectangle clique partition
    • 3.7.202. Resource constraint
    • 3.7.203. Run of a permutation
    • 3.7.204. SAT
    • 3.7.205. Scalar product
    • 3.7.206. Sequence
    • 3.7.207. Sequence dependent set-up
    • 3.7.208. Sequencing with release times and deadlines
    • 3.7.209. Set channel
    • 3.7.210. Set packing
    • 3.7.211. Shikaku
    • 3.7.212. Scheduling constraint
    • 3.7.213. Scheduling with machine choice, calendars and preemption
    • 3.7.214. Shared table
    • 3.7.215. Schur number
    • 3.7.216. SLAM problem
    • 3.7.217. Sliding cyclic(1) constraint network(1)
    • 3.7.218. Sliding cyclic(1) constraint network(2)
    • 3.7.219. Sliding cyclic(1) constraint network(3)
    • 3.7.220. Sliding cyclic(2) constraint network(2)
    • 3.7.221. Sliding sequence constraint
    • 3.7.222. Smallest square for packing consecutive dominoes
    • 3.7.223. Smallest rectangle area
    • 3.7.224. Smallest square for packing rectangles with distinct sizes
    • 3.7.225. Soft constraint
    • 3.7.226. Sort
    • 3.7.227. Sparse functional dependency
    • 3.7.228. Sparse table
    • 3.7.229. Sport timetabling
    • 3.7.230. Squared squares
    • 3.7.231. Statistics
    • 3.7.232. Strip packing
    • 3.7.233. Strong bridge
    • 3.7.234. Strong articulation point
    • 3.7.235. Strongly connected component
    • 3.7.236. Subset sum
    • 3.7.237. Sudoku
    • 3.7.238. Sum
    • 3.7.239. Sweep
    • 3.7.240. Symmetry
    • 3.7.241. Symmetric
    • 3.7.242. System of constraints
    • 3.7.243. Table
    • 3.7.244. Temporal constraint
    • 3.7.245. Ternary constraint
    • 3.7.246. Timetabling constraint
    • 3.7.247. Time window
    • 3.7.248. Touch
    • 3.7.249. Tree
    • 3.7.250. Tuple
    • 3.7.251. Two-dimensional orthogonal packing
    • 3.7.252. Unary constraint
    • 3.7.253. Undirected graph
    • 3.7.254. Value constraint
    • 3.7.255. Value partitioning constraint
    • 3.7.256. Value precedence
    • 3.7.257. Variable-based violation measure
    • 3.7.258. Variable indexing
    • 3.7.259. Variable subscript
    • 3.7.260. Vector
    • 3.7.261. Vpartition
    • 3.7.262. Weighted assignment
    • 3.7.263. Workload covering
    • 3.7.264. Zebra puzzle
    • 3.7.265. Zero-duration task
< 3.7.130. Line-segments intersection|3.7.132. Logigraphe >

3.7.131. Logic

  • 𝚌𝚘𝚗𝚝𝚊𝚒𝚗𝚜_𝚜𝚋𝚘𝚡𝚎𝚜,

  • 𝚌𝚘𝚟𝚎𝚛𝚎𝚍𝚋𝚢_𝚜𝚋𝚘𝚡𝚎𝚜,

  • 𝚌𝚘𝚟𝚎𝚛𝚜_𝚜𝚋𝚘𝚡𝚎𝚜,

  • 𝚍𝚒𝚜𝚓𝚘𝚒𝚗𝚝_𝚜𝚋𝚘𝚡𝚎𝚜,

  • 𝚎𝚚𝚞𝚊𝚕_𝚜𝚋𝚘𝚡𝚎𝚜,

  • 𝚒𝚗𝚜𝚒𝚍𝚎_𝚜𝚋𝚘𝚡𝚎𝚜,

  • 𝚖𝚎𝚎𝚝_𝚜𝚋𝚘𝚡𝚎𝚜,

  • 𝚗𝚘𝚗_𝚘𝚟𝚎𝚛𝚕𝚊𝚙_𝚜𝚋𝚘𝚡𝚎𝚜.

  • 𝚘𝚟𝚎𝚛𝚕𝚊𝚙_𝚜𝚋𝚘𝚡𝚎𝚜.

A constraint which can be defined with first order logic formula encoded in the dedicated language introduced in [CarlssonBeldiceanuMartin08].

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