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1	Reasoning about Rational, but not Logically Omniscient Agents Duc, Ho Ngoc 14 December 2018 (has links) We propose in the paper a new solution to the so-called Logical Omniscience Problem of epistemic logic. Almost all attempts in the literature to solve this problem consist in weakening the standard epistemic systems: weaker systems are considered where the agents do not possess the full reasoning capacities of ideal reasoners. We shall argue that this solution is not satisfactory: in this way omniscience can be avoided, but many intuitions about the concepts of knowledge and belief get lost. We shall show that axioms for epistemic logics must have the following form: if the agent knows all premises of a valid inference rule, and if she thinks hard enough, then she will know the conclusion. To formalize such an idea, we propose to \dynamize' epistemic logic, that is, to introduce a dynamic component into the language. We develop a logic based on this idea and show that it is suitable for formalizing the notion of actual, or explicit knowledge.
2	Logics of belief Viljoen, Elizabeth 04 1900 (has links) The inadequacy of the usual possible world semantics of modal languages when the meaning of 'belief' is attached to the modal operator is discussed. Three other approaches are then investigated. In the case of Moore's autoepistemic logic it becomes possible to compare an agent's beliefs to 'reality', which cannot be done directly in the possible world semantics. Levesque's semantics makes explicit in the object language the notion of 'this is all the information the agent has', which plays an important role in nonmonotonic reasoning. Both of these approaches deal with ideal reasoners. The third approach, Konolige's deduction model, is based on a semantics capable of describing the beliefs of one or more resourcebounded agents. Finally, the AGM postulates for belief revision are discussed. / Computer Science / M.Sc. (Computer Science) Logic of belief Epistemic logic Possible worlds Autoepistemic logic Agent Ideal reasoner Only knowing Resource-bounded reasoner Deduction model Belief revision AGM postulates 006.3 Logic programming Default reasoning Artificial intelligence
3	Logics of belief Viljoen, Elizabeth 04 1900 (has links) The inadequacy of the usual possible world semantics of modal languages when the meaning of 'belief' is attached to the modal operator is discussed. Three other approaches are then investigated. In the case of Moore's autoepistemic logic it becomes possible to compare an agent's beliefs to 'reality', which cannot be done directly in the possible world semantics. Levesque's semantics makes explicit in the object language the notion of 'this is all the information the agent has', which plays an important role in nonmonotonic reasoning. Both of these approaches deal with ideal reasoners. The third approach, Konolige's deduction model, is based on a semantics capable of describing the beliefs of one or more resourcebounded agents. Finally, the AGM postulates for belief revision are discussed. / Computer Science / M.Sc. (Computer Science) Logic of belief Epistemic logic Possible worlds Autoepistemic logic Agent Ideal reasoner Only knowing Resource-bounded reasoner Deduction model Belief revision AGM postulates 006.3 Logic programming Default reasoning Artificial intelligence

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