Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From compositional to systematic semantics   We prove a theorem stating that any semantics can be encoded as a
compositional semantics, which means that, essentially, the standard definition
of compositionality is formally vacuous. We then show that when compositional
semantics is required to be "systematic" (that is, the meaning function cannot
be arbitrary, but must belong to some class), it is possible to distinguish
between compositional and non-compositional semantics. As a result, we believe
that the paper clarifies the concept of compositionality and opens a
possibility of making systematic formal comparisons of different systems of
grammars.

18
The categories of this paper are: econ
16
The categories of this paper are: stat
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con