Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Internalising modified realisability in constructive type theory   A modified realisability interpretation of infinitary logic is formalised and
proved sound in constructive type theory (CTT). The logic considered subsumes
first order logic. The interpretation makes it possible to extract programs
with simplified types and to incorporate and reason about them in CTT.

16
The categories of this paper are: stat
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ