Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Streamable Regular Transductions   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.

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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th