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An ontology is a taxonomic hierarchy of lexical terms and their syntactic and semantic relations for representing a framework of structured knowledge. Ontology used to be problem-specific and manually built due to its extreme complexity. Based on the latest advances in cognitive knowledge learning and formal semantic analyses, an Algorithm of Formal Ontology Generation (AFOG) is developed. The methodology...
Concept Algebra (CA) is a denotational mathematical structure for formal knowledge representation and manipulations in cognitive computing and machine learning. CA provides a rigorous and dynamic knowledge modeling and processing tool, which extends the informal, static, and application-specific ontological technologies. An operational semantics for the calculus of CA is formally elaborated using...
Real-time process algebra (RTPA) is designed to deal with a rich set of fundamental real-time processes such as timing, interrupt, concurrency, and event/time-driven. Some of the RTPA processes cannot be described adequately in conventional denotational semantics paradigms. This paper develops a new framework for modeling time and processes in order to represent RTPA in denotational semantics. Within...
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