Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Categorical Semantics for Functional Reactive Programming with Temporal
  Recursion and Corecursion   Functional reactive programming (FRP) makes it possible to express temporal
aspects of computations in a declarative way. Recently we developed two kinds
of categorical models of FRP: abstract process categories (APCs) and concrete
process categories (CPCs). Furthermore we showed that APCs generalize CPCs. In
this paper, we extend APCs with additional structure. This structure models
recursion and corecursion operators that are related to time. We show that the
resulting categorical models generalize those CPCs that impose an additional
constraint on time scales. This constraint boils down to ruling out
$\omega$-supertasks, which are closely related to Zeno's paradox of Achilles
and the tortoise.

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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio