Querying Data Graphs with Arithmetical Regular Expressions / 1088
Maciej Graboń, Jakub Michaliszyn, Jan Otop, Piotr Wieczorek

We propose a query language LARE for graphs whose edges are labelled by a finite alphabet and nodes store unbounded data values. LARE is based on a variant of regular expressions with memory. Queries of LARE can compare quantities of memorised graph nodes and their neighbourhoods. These features allow us to express a number of natural properties, while keeping the data complexity (with a query fixed) in non-deterministic logarithmic space. We establish an algorithm that works efficiently not only with LARE, but also with a wider language defined using effective relational conditions, another formalism we propose.

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