Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuation-passing Style Models Complete for Intuitionistic Logic   A class of models is presented, in the form of continuation monads
polymorphic for first-order individuals, that is sound and complete for minimal
intuitionistic predicate logic. The proofs of soundness and completeness are
constructive and the computational content of their composition is, in
particular, a $\beta$-normalisation-by-evaluation program for simply typed
lambda calculus with sum types. Although the inspiration comes from Danvy's
type-directed partial evaluator for the same lambda calculus, the there
essential use of delimited control operators (i.e. computational effects) is
avoided. The role of polymorphism is crucial -- dropping it allows one to
obtain a notion of model complete for classical predicate logic. The connection
between ours and Kripke models is made through a strengthening of the
Double-negation Shift schema.

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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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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: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio