[1807.03865] Streamable Regular Transductions
Computer Science > Formal Languages and Automata Theory
arXiv:1807.03865
(cs)
[Submitted on 10 Jul 2018 (
v1
), last revised 3 Nov 2019 (this version, v2)]
Title:
Streamable Regular Transductions
Authors:
Rajeev Alur
Dana Fisman
Konstantinos Mamouras
Mukund Raghothaman
Caleb Stanford
View a PDF of the paper titled Streamable Regular Transductions, by Rajeev Alur and 4 other authors
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Abstract:
Motivated by real-time monitoring and data processing applications, we develop a formal theory of quantitative queries for streaming data that can be evaluated efficiently. We consider the model of unambiguous Cost Register Automata (CRAs), which are machines that combine finite-state control (for identifying regular patterns) with a finite set of data registers (for computing numerical aggregates). The definition of CRAs is parameterized by the collection of numerical operations that can be applied to the registers. These machines give rise to the class of streamable regular transductions (SR), and to the class of streamable linear regular transductions (SLR) when the register updates are copyless, i.e. every register appears at most once the right-hand-side expressions of the updates. We give a logical characterization of the class SR (resp., SLR) using MSO-definable transformations from strings to DAGs (resp., trees) without backward edges. Additionally, we establish that the two classes SR and SLR are closed under operations that are relevant for designing query languages. Finally, we study the relationship with weighted automata (WA), and show that CRAs over a suitably chosen set of operations correspond to WA, thus establishing that WA are a special case of CRAs.
Comments:
53 pages
Subjects:
Formal Languages and Automata Theory (cs.FL)
; Logic in Computer Science (cs.LO)
Cite as:
arXiv:1807.03865
[cs.FL]
(or
arXiv:1807.03865v2
[cs.FL]
for this version)
arXiv-issued DOI via DataCite
Submission history
From: Caleb Stanford [
view email
[v1]
Tue, 10 Jul 2018 21:11:24 UTC (491 KB)
[v2]
Sun, 3 Nov 2019 21:13:50 UTC (536 KB)
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Dana Fisman
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Mukund Raghothaman
Caleb Stanford
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