Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Agda Universal Algebra Library, Part 1: Foundation   The Agda Universal Algebra Library (UALib) is a library of types and programs
(theorems and proofs) we developed to formalize the foundations of universal
algebra in dependent type theory using the Agda programming language and proof
assistant. The UALib includes a substantial collection of definitions,
theorems, and proofs from general algebra and equational logic, including many
examples that exhibit the power of inductive and dependent types for
representing and reasoning about relations, algebraic structures, and
equational theories. In this paper we discuss the logical foundations on which
the library is built, and describe the types defined in the first 13 modules of
the library. Special attention is given to aspects of the library that seem
most interesting or challenging from a type theory or mathematical foundations
perspective.

14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
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The categories of this paper are: solv-int