reviewed critical parts
ci/woodpecker/push/build Pipeline was successful Details

- introction: ITP explained
- revised related work
- revised conclusion
This commit is contained in:
Burkhart Wolff 2022-04-25 21:16:12 +02:00
parent 1714703272
commit fbf34f9a35
1 changed files with 11 additions and 11 deletions

View File

@ -254,10 +254,10 @@ for advanced queries of elements inside an integrated source, and invariants
allow for formal proofs over the relations/translations of ontologies and ontology-instances.
The latter question raised scientific interest under the label ``ontology mapping'' for
which we therefore present a formal solution. To sum up, we completed \<^dof> to
a fairly rich, ITP-oriented ontology language, which is a concrete proposal for formal
development projects targeting a certification, for technical documentation or books
with a high amount of machine-checked formal content or for mathematical libraries
such as the AFP.\<close>
a fairly rich ontology language oriented to interactive theorem proving (ITP) systems,
which is a concrete proposal for formal development projects targeting a certification,
for technical documentation, for books with a high amount of machine-checked formal content
or for mathematical libraries such as the AFP.\<close>
(*<*)
declare_reference*[casestudy::text_section]
@ -1160,16 +1160,16 @@ that allows users to introduce their own category concepts.
Both suffer from the lack of deeper meta-data modeling, and the latter is still at the beginning
(ScienceWISE marks the Mathematics part as ``under construction'').
Regarding using formal methods to formalise standards, Event-B method was used by
Fotso et al. @{cite "FotsoFLM18"} to propose a specification of the hybrid ERTMS/ETCS level 3 standard,
in which requirements are specified using SysML/KAOS goal diagrams that are translated into
Event-B, and domain-specific properties are specified by ontologies.
Regarding the use of formal methods to formalise standards, the Event-B method was proposed by
Fotso et al. @{cite "FotsoFLM18"} for specifications of the hybrid ERTMS/ETCS level 3 standard,
in which requirements are specified using SysML/KAOS goal diagrams. The latter were translated into
Event-B, where domain-specific properties were specified by ontologies.
In another case, Mendil et al. @{cite "MendilASMP21"} propose an Event-B framework for formalising standard
conformance through formal modelling of standards as ontologies.
The proposed approach was exemplified on ARINC 661 standard and weather radar system application.
The proposed approach was exemplified on ARINC 661 standard im the ntext of a weather radar system application.
These works are essentially interested in expressing ontological concepts in a formal method
but do not explicitly deal with the formalisation of rules/invariants defined in ontologies
and are not interested in the question of mapping ontologies.
but do not explicitly deal with the formalisation of rules/invariants defined in ontologies.
The question of ontology-mappings is not addressed.
% \<^url>\<open>https://github.com/CLLKazan/OntoMathPro\<close>
%