Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Model-completion of varieties of co-Heyting algebras   It is known that exactly eight varieties of Heyting algebras have a
model-completion, but no concrete axiomatisation of these model-completions
were known by now except for the trivial variety (reduced to the one-point
algebra) and the variety of Boolean algebras. For each of the six remaining
varieties we introduce two axioms and show that 1) these axioms are satisfied
by all the algebras in the model-completion, and 2) all the algebras in this
variety satisfying these two axioms have a certain embedding property. For four
of these six varieties (those which are locally finite) this actually provides
a new proof of the existence of a model-completion, this time with an explicit
and finite axiomatisation.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int