Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor Product Representations of Subregular Formal Languages   This paper provides a geometric characterization of subclasses of the regular
languages. We use finite model theory to characterize objects like strings and
trees as relational structures. Logical statements meeting certain criteria
over these models define subregular classes of languages. The semantics of such
statements can be compiled into tensor structures, using multilinear maps as
function application for evaluation. This method is applied to consider two
properly subregular languages over different string models.

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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an