Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interaction Graphs: Graphings   In two previous papers, we exposed a combinatorial approach to the program of
Geometry of Interaction, a program initiated by Jean-Yves Girard. The strength
of our approach lies in the fact that we interpret proofs by simpler structures
- graphs - than Girard's constructions, while generalizing the latter since
they can be recovered as special cases of our setting. This third paper extends
this approach by considering a generalization of graphs named graphings, which
is in some way a geometric realization of a graph. This very general framework
leads to a number of new models of multiplicative-additive linear logic which
generalize Girard's geometry of interaction models and opens several new lines
of research. As an example, we exhibit a family of such models which account
for second-order quantification without suffering the same limitations as
Girard's models.

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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con