Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Denotation of syntax and metaprogramming in contextual modal type theory
  (CMTT)   The modal logic S4 can be used via a Curry-Howard style correspondence to
obtain a lambda-calculus. Modal (boxed) types are intuitively interpreted as
`closed syntax of the calculus'. This lambda-calculus is called modal type
theory --- this is the basic case of a more general contextual modal type
theory, or CMTT.
  CMTT has never been given a denotational semantics in which modal types are
given denotation as closed syntax. We show how this can indeed be done, with a
twist. We also use the denotation to prove some properties of the system.

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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas