  Planning and reasoning about actions and processes, in addition to reasoning
about propositions, are important issues in recent logical and computer science
studies. The widespread use of actions in everyday life such as IoT, semantic
web services, etc., and the limitations and issues in the action formalisms are
two factors that lead us to study how actions are represented.
  Since 2007, there have been some ideas to integrate Description Logic (DL)
and action formalisms for representing both static and dynamic knowledge.
Meanwhile, time is an important factor in dynamic situations, and actions
change states over time. In this study, on the one hand, we examined related
logical structures such as extensions of description logics (DLs), temporal
formalisms, and action formalisms. On the other hand, we analyzed possible
tools for designing and developing the Knowledge and Action Base (KAB).
  For representation and reasoning about actions, we embedded actions into DLs
(such as Dynamic-ALC and its extensions). We propose a terminable algorithm for
action projection, planning, checking the satisfiability, consistency,
realizability, and executability, and also querying from KAB. Actions in this
framework were modeled with SPIN and added to state space. This framework has
also been implemented as a plugin for the Prot\'eg\'e ontology editor.
  During the last two decades, various algorithms have been presented, but due
to the high computational complexity, we face many problems in implementing
dynamic ontologies. In addition, an algorithm to detect the inconsistency of
actions' effects was not explicitly stated. In the proposed strategy, the
interactions of actions with other parts of modeled knowledge, and a method to
check consistency between the effects of actions are presented. With this
framework, the ramification problem can be well handled in future works.
