Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Formalizing the Four-layer Metamodeling Stack -- Potential and Benefits   Enterprise modeling deals with the increasing complexity of processes and
systems by operationalizing model content and by linking complementary models
and languages, thus amplifying the model-value beyond mere comprehensible
pictures. To enable this amplification and turn models into
computer-processable structures a comprehensive formalization is needed. This
paper presents a generic formalism based on typed first-order logic and
provides a perspective on the potential and benefits arising for a variety of
research issues in conceptual modeling. We define modeling languages as formal
languages with a signature $\Sigma$ - comprising object types, relation types,
and attributes through types and function symbols - and a set of constraints.
Three cases studies are included to show the effectiveness of the approach.
Applying the formalism to the next level in the hierarchy of models we create
M2FOL, a formal modeling language for metamodels. We show that M2FOL is
self-describing and therefore complete the formalization of the full four-layer
metamodeling stack. On the basis of our generic formalism applicable to
arbitrary modeling languages we examine three current research topics -
language interleaving & consistency, operations on models, and automatic
translation of formalizations to platform-specific code - and how to approach
them with the proposed formalism. This shows that the rich knowledge stack on
formal languages in logic offers new tools for old problems.

30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci