As demands and ambitions increase in Artificial Intelligence, the need for formal systems that facilitate a study and a simulation of a machine cognition has become an inevitability. This paper explores and developes the foundations of a formal system for propositional reasoning about knowledge. The semantics of every meaningful expression in the system is fully determined by its intension, the set of complexes in which the expression is confirmed. The knowledge system is based on three zeroth-order theories of epistemic reasoning for consciousness, knowledge and entailed knowledge. The results presented in the paper determine the soundness and the completeness of the knowledge system. The modes of reasoning and the relations among the various epistemic notions emphasize the expressive power of the intensional paradigm.
Popov, Oliver B. and Dekock, Arlan R., "Intensional Reasoning about Knowledge" (1987). Computer Science Technical Reports. 79.
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