English

Run-Based Semantics for RPQs

Databases 2022-11-28 v1 Formal Languages and Automata Theory Logic in Computer Science

Abstract

The formalism of RPQs (regular path queries) is an important building block of most query languages for graph databases. RPQs are generally evaluated under homomorphism semantics; in particular only the endpoints of the matched walks are returned. Practical applications often need the full matched walks to compute aggregate values. In those cases, homomorphism semantics are not suitable since the number of matched walks can be infinite. Hence, graph-database engines adapt the semantics of RPQs, often neglecting theoretical red flags. For instance, the popular query language Cypher uses trail semantics, which ensures the result to be finite at the cost of making computational problems intractable. We propose a new kind of semantics for RPQs, including in particular simple-run and binding-trail semantics, as a candidate to reconcile theoretical considerations with practical aspirations. Both ensure the output to be finite in a way that is compatible with homomorphism semantics: projection on endpoints coincides with homomorphism semantics. Hence, testing the emptiness of result is tractable, and known methods readily apply. Moreover, simple-run and binding-trail semantics support bag semantics, and enumeration of the bag of results is tractable

Keywords

Cite

@article{arxiv.2211.13313,
  title  = {Run-Based Semantics for RPQs},
  author = {Claire David and Victor Marsault and Nadime Francis},
  journal= {arXiv preprint arXiv:2211.13313},
  year   = {2022}
}

Comments

35 pages

R2 v1 2026-06-28T06:43:06.620Z