Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Defining SPARQL with Boolean Tensor Algebra   The Resource Description Framework (RDF) represents information as
subject-predicate-object triples. These triples are commonly interpreted as a
directed labelled graph. We propose an alternative approach, interpreting the
data as a 3-way Boolean tensor. We show how SPARQL queries - the standard
queries for RDF - can be expressed as elementary operations in Boolean algebra,
giving us a complete re-interpretation of RDF and SPARQL. We show how the
Boolean tensor interpretation allows for new optimizations and analyses of the
complexity of SPARQL queries. For example, estimating the size of the results
for different join queries becomes much simpler.

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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: math
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph