## Authors: Antti Kuusisto and Carsten Lutz

## Paper Information

Title: | Weighted model counting beyond two-variable logic |

Authors: | Antti Kuusisto and Carsten Lutz |

Proceedings: | LICS PDF files |

Editors: | Anuj Dawar and Erich GrĂ¤del |

Keywords: | weighted model counting, two-variable logic, uniform one-dimensional fragment |

Abstract: | ABSTRACT. It was recently shown by van den Broeck at al. that the symmetric weighted first-order model counting problem (WFOMC) for sentences of two-variable logic FO2 is in polynomial time, while it is Sharp-P_1 complete for FO3-sentences. We extend the result for FO2 in two independent directions: to sentences of the form "phi and \forall\exists^=1 psi" with phi and psi in FO2, and to sentences formulated in the uniform one-dimensional fragment of FO, a recently introduced extension of two-variable logic with the capacity to deal with relation symbols of all arities. Note that the former generalizes the extension of FO2 with a functional relation symbol. We also identify a complete classification of first-order prefix classes according to whether WFOMC is in polynomial time or Sharp-P_1 complete. |

Pages: | 10 |

Talk: | Jul 11 11:00 (Session 64D) |

Paper: |