Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proof Theory of Constructive Systems: Inductive Types and Univalence   In Feferman's work, explicit mathematics and theories of generalized
inductive definitions play a central role. One objective of this article is to
describe the connections with Martin-Lof type theory and constructive
Zermelo-Fraenkel set theory. Proof theory has contributed to a deeper grasp of
the relationship between different frameworks for constructive mathematics.
Some of the reductions are known only through ordinal-theoretic
characterizations. The paper also addresses the strength of Voevodsky's
univalence axiom. A further goal is to investigate the strength of
intuitionistic theories of generalized inductive definitions in the framework
of intuitionistic explicit mathematics that lie beyond the reach of Martin-Lof
type theory.

19
The categories of this paper are: eess
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc