Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An implication in orthologic   We involve a certain propositional logic based on ortholattices. We
characterize the implicational reduct of such a logic and we show that its
algebraic counterpart is the so-called orthosemilattice. Properties of
congruences and congruence kernels of these algebras are described.

18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas