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### Abstract

Anti-unification refers to the process of generalizing two (or more) goals into a single, more general, goal that captures some of the structure that is common to all initial goals. In general one is typically interested in computing what is often called a most specific generalization, that is a generalization that captures a maximal amount of shared structure.

In this work we address the problem of anti-unification in CLP, where goals can be seen as unordered sets of atoms and/or constraints. We show that while the concept of a most specific generalization can easily be defined in this context, computing it becomes an NP-complete problem. We subsequently introduce a generalization algorithm that computes a well-defined abstraction whose computation can be bound to a polynomial execution time. Initial experiments show that even a naive implementation of our algorithm produces acceptable generalizations in an efficient way.

In this work we address the problem of anti-unification in CLP, where goals can be seen as unordered sets of atoms and/or constraints. We show that while the concept of a most specific generalization can easily be defined in this context, computing it becomes an NP-complete problem. We subsequently introduce a generalization algorithm that computes a well-defined abstraction whose computation can be bound to a polynomial execution time. Initial experiments show that even a naive implementation of our algorithm produces acceptable generalizations in an efficient way.

Original language | English |
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Pages (from-to) | 773-789 |

Number of pages | 17 |

Journal | Theory and Practice of Logic Programming |

Volume | 19 |

Issue number | 5-6 |

DOIs | |

Publication status | Published - 20 Sep 2019 |

### Keywords

- (most specific) generalization
- Anti-unification
- CLP
- program analysis

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## Activities

## 35th International Conference on Logic Programming

Gonzague Yernaux (Participant)

20 Sep 2019 → 25 Sep 2019

Activity: Participating in or organising an event types › Participation in conference

## Anti-unification in Constraint Logic Programming

Gonzague Yernaux (Speaker)

22 Sep 2019

Activity: Talk or presentation types › Oral presentation