# Block-sorted quantified conjunctive queries

Chen, H and Marx, Dániel
(2013)
*Block-sorted quantified conjunctive queries.*
In: Lecture Notes in Computer Science, 2013-07-08 - 2013-07-12, Riga, Litvánia.

## Abstract

We study the complexity of model checking in quantified conjunctive logic, that is, the fragment of first-order logic where both quantifiers may be used, but conjunction is the only permitted connective. In particular, we study block-sorted queries, which we define to be prenex sentences in multi-sorted relational first-order logic where two variables having the same sort must appear in the same quantifier block. We establish a complexity classification theorem that describes precisely the sets of block-sorted queries of bounded arity on which model checking is fixed-parameter tractable. This theorem strictly generalizes, for the first time, the corresponding classification for existential conjunctive logic (which is known and due to Grohe) to a logic in which both quantifiers are present. © 2013 Springer-Verlag.

Item Type: | Conference or Workshop Item (-) |
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Subjects: | Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány |

Depositing User: | EPrints Admin |

Date Deposited: | 05 Feb 2014 12:32 |

Last Modified: | 05 Feb 2014 15:46 |

URI: | http://eprints.sztaki.hu/id/eprint/7633 |

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