Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proof Nets, Coends and the Yoneda Isomorphism   Proof nets provide permutation-independent representations of proofs and are
used to investigate coherence problems for monoidal categories. We investigate
a coherence problem concerning Second Order Multiplicative Linear Logic (MLL2),
that is, the one of characterizing the equivalence over proofs generated by the
interpretation of quantifiers by means of ends and coends.
  We provide a compact representation of proof nets for a fragment of MLL2
related to the Yoneda isomorphism. By adapting the "rewiring approach" used in
coherence results for star-autonomous categories, we define an equivalence
relation over proof nets called "re-witnessing". We prove that this relation
characterizes, in this fragment, the equivalence generated by coends.

22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys