### Abstract

The main global constraint used for removing value symmetries is the VALUE-PRECEDE-CHAIN constraint which forces the first occurences of values in an ordered list to be appear in order. We introduce the seq-precede-chain constraint for the restricted, but common, case where the values are 1,2, … , *k*, and variables in the constraint do not take values higher than *k*. We construct an efficient domain consistent propagator for this constraint, and show how we can generate explanations for its propagation. This leads us to an efficient domain consistent decomposition. We show how we can map any VALUE-PRECEDE-CHAIN to use instead SEQ-PRECEDE-CHAIN. Experiments show that the new propagator and decomposition are better than existing approachs to propagating VALUE-PRECEDE-CHAIN.

Original language | English |
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Title of host publication | Principles and Practice of Constraint Programming |

Subtitle of host publication | 24th International Conference, CP 2018 Lille, France, August 27–31, 2018 Proceedings |

Editors | John Hooker |

Place of Publication | Cham Switzerland |

Publisher | Springer |

Pages | 144-159 |

Number of pages | 16 |

ISBN (Electronic) | 9783319983349 |

ISBN (Print) | 9783319983332 |

DOIs | |

Publication status | Published - 2018 |

Event | International Conference on Principles and Practice of Constraint Programming 2018 - Lille, France Duration: 27 Aug 2018 → 31 Aug 2018 Conference number: 24th http://cp2018.a4cp.org/ |

### Publication series

Name | Lecture Notes in Computer Science |
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Publisher | Springer |

Volume | 11008 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | International Conference on Principles and Practice of Constraint Programming 2018 |
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Abbreviated title | CP 2018 |

Country | France |

City | Lille |

Period | 27/08/18 → 31/08/18 |

Internet address |

### Cite this

*Principles and Practice of Constraint Programming : 24th International Conference, CP 2018 Lille, France, August 27–31, 2018 Proceedings*(pp. 144-159). (Lecture Notes in Computer Science ; Vol. 11008 ). Cham Switzerland: Springer. https://doi.org/10.1007/978-3-319-98334-9_10

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*Principles and Practice of Constraint Programming : 24th International Conference, CP 2018 Lille, France, August 27–31, 2018 Proceedings.*Lecture Notes in Computer Science , vol. 11008 , Springer, Cham Switzerland, pp. 144-159, International Conference on Principles and Practice of Constraint Programming 2018, Lille, France, 27/08/18. https://doi.org/10.1007/978-3-319-98334-9_10

**Sequential precede chain for value symmetry elimination.** / Gange, Graeme; Stuckey, Peter J.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

TY - GEN

T1 - Sequential precede chain for value symmetry elimination

AU - Gange, Graeme

AU - Stuckey, Peter J.

PY - 2018

Y1 - 2018

N2 - The main global constraint used for removing value symmetries is the VALUE-PRECEDE-CHAIN constraint which forces the first occurences of values in an ordered list to be appear in order. We introduce the seq-precede-chain constraint for the restricted, but common, case where the values are 1,2, … , k, and variables in the constraint do not take values higher than k. We construct an efficient domain consistent propagator for this constraint, and show how we can generate explanations for its propagation. This leads us to an efficient domain consistent decomposition. We show how we can map any VALUE-PRECEDE-CHAIN to use instead SEQ-PRECEDE-CHAIN. Experiments show that the new propagator and decomposition are better than existing approachs to propagating VALUE-PRECEDE-CHAIN.

AB - The main global constraint used for removing value symmetries is the VALUE-PRECEDE-CHAIN constraint which forces the first occurences of values in an ordered list to be appear in order. We introduce the seq-precede-chain constraint for the restricted, but common, case where the values are 1,2, … , k, and variables in the constraint do not take values higher than k. We construct an efficient domain consistent propagator for this constraint, and show how we can generate explanations for its propagation. This leads us to an efficient domain consistent decomposition. We show how we can map any VALUE-PRECEDE-CHAIN to use instead SEQ-PRECEDE-CHAIN. Experiments show that the new propagator and decomposition are better than existing approachs to propagating VALUE-PRECEDE-CHAIN.

UR - http://www.scopus.com/inward/record.url?scp=85053168951&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-98334-9_10

DO - 10.1007/978-3-319-98334-9_10

M3 - Conference Paper

SN - 9783319983332

T3 - Lecture Notes in Computer Science

SP - 144

EP - 159

BT - Principles and Practice of Constraint Programming

A2 - Hooker, John

PB - Springer

CY - Cham Switzerland

ER -