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exchange processes. Also, PopOrg stores the different states that the system goes through
during its execution. Unfortunately, PopOrg does not model any of the entities from the
Environment or Normative Dimensions.
The logic for agent organizations (LAO) is an extension of CTL logic. The Func-
tional Dimension is completely represented in LAO, including agents, objectives, groups,
topology (establishing links between agents), and roles, which are represented by means
of capabilities and abilities, elements taken from this dimension. LAO additionally de-
fines different states of the world where the system is located (related to the Environ-
ment Dimension) and its transitions (related to the Dynamical Dimension). LAO is a
very complete proposal, since it takes into account a large subset of the elements of the
Organizational Dimensions, but it does not formalize the Normative Dimension.
The Process Oriented Modeling Framework (POMF) is structured by means of four
views. The main one is the process oriented view , where tasks, processes and workflows
are defined. This view includes the concept of service from the Functional Dimension,
being a workflow divided into processes that are split into tasks. It also includes the
resources of the Environment Dimension. The organization oriented view includes the
role entity, which describes the set of capabilities of the organizational processes in a
concrete workflow that are then assigned to agent entities, defined in the agent view ,
where groups of agents are not able to be modeled. Therefore, the organization oriented
view is related with both Structural and Functional Dimensions and the agent view is
related to the Structural Dimension. Finally, the performance oriented view describes
the organizational goals, such as the Functional Dimension does. However, POMF does
not provide a formalization for neither Dynamical nor Normative Dimensions.
The MACODO framework is centered on the dynamics of organizations with self-
organization concepts, offering a model with concepts related to the Functional Dimen-
sion, such as roles (establishing the concept of position, similar to a job offer), contracts
of roles (an agreement between an agent and an organization for a concrete position to
control the access to an available role), agents (including their context and local envi-
ronment, which is related to the Environment Dimension), and organizations (groups of
agents defined by a set of open role positions and current role contracts). Relations of
hierarchy and communication between roles are not considered. A role is described as
a set of capabilities, which is the only entity from the Functional Dimension that MA-
CODO takes into account. Since MACODO is focused on self-organization, dynamics
of the system from the Dynamical Dimension, including changes in its context or in its
set of agents, are formalized. To control the activities that the organization carries out,
MACODO is enhanced with a set of laws, similar to norms from the Normative Dimen-
sion. Although MACODO does not model other relevant organizational concepts such
as objectives, it deals with elements from all the Organizational Dimensions.
The organizational formalization proposed by Grossi et al. pursues to represent the
organizational structure. This formal method takes the concepts of role , establishing
relations between them; and agent from the Structural Dimension. The roles of the or-
ganization are conceived around three basic notions: objectives, norms and information.
Objectives are the only elements related to the Functional Dimension that are presented
in this proposal; and the Normative Dimension is taken into account using norms. Re-
garding information, knowledge about the current state of the organization can be given
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