Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A formalization of forcing and the unprovability of the continuum
  hypothesis   We describe a formalization of forcing using Boolean-valued models in the
Lean 3 theorem prover, including the fundamental theorem of forcing and a deep
embedding of first-order logic with a Boolean-valued soundness theorem. As an
application of our framework, we specialize our construction to the Boolean
algebra of regular opens of the Cantor space $2^{\omega_2 \times \omega}$ and
formally verify the failure of the continuum hypothesis in the resulting model.

37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin