Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logic of Local Inference for Contextuality in Quantum Physics and Beyond   Contextuality in quantum physics provides a key resource for quantum
information and computation. The topological approach in [Abramsky and
Brandenburger, New J. Phys., 2011, Abramsky et al., CSL 2015, 2015]
characterizes contextuality as "global inconsistency" coupled with "local
consistency", revealing it to be a phenomenon also found in many other fields.
This has yielded a logical method of detecting and proving the "global
inconsistency" part of contextuality. Our goal is to capture the other, "local
consistency" part, which requires a novel approach to logic that is sensitive
to the topology of contexts. To achieve this, we formulate a logic of local
inference by using context-sensitive theories and models in regular categories.
This provides a uniform framework for local consistency, and lays a foundation
for high-level methods of detecting, proving, and moreover using contextuality
as computational resource.

8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph