Download Belief Revision in Non-Classical Logics by Márcio Moretto Ribeiro PDF

By Márcio Moretto Ribeiro

Since the arrival of the Semantic internet, curiosity within the dynamics of ontologies (ontology evolution) has grown considerably. trust revision provides a very good theoretical framework for facing this challenge; even if, classical trust revision isn't really compatible for logics equivalent to Description Logics.

Belief Revision in Non-Classical Logics provides a framework which are utilized to a large type of logics that come with – along with so much Description Logics resembling those in the back of OWL – Horn common sense and Intuitionistic common sense, among others. the writer additionally offers algorithms for crucial buildings in trust bases. Researchers and practitioners in theoretical computing will locate this a useful resource.

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Furthermore, w2 p and then w1 ¬ p. It follows that w1 ¬¬ p. Hence, ¬¬ p p. Notice that the relation theorem of CPL. 2 Axiomatic System Consider the following axiomatic system: 2 ,ξ1 } modus ponens: {ξ1 →ξ ξ2 axiom 1: ξ1 → (ξ2 → ξ1 ) axiom 2: (ξ1 → ξ2 ) → ((ξ1 → (ξ2 → ξ3 )) → (ξ1 → ξ3 )) axiom 3: ξ1 → (ξ2 → (ξ1 ∧ ξ2 )) axiom 4: (ξ1 ∧ ξ2 ) → ξ1 axiom 5: (ξ1 ∧ ξ2 ) → ξ2 axiom 6: ξ1 → (ξ1 ∨ ξ2 ) axiom 7: ξ2 → (ξ1 ∨ ξ2 ) axiom 8: ¬ξ1 → (ξ1 → ξ2 ) axiom 9: (ξ1 → ξ2 ) → ((ξ1 → ¬ξ2 ) → ¬ξ1 ) axiom 10: (ξ1 ∨ ξ2 ) → ((ξ1 → ξ3 ) → ((ξ2 → ξ3 ) → ξ3 )) First notice that axioms 1 to 8 coincide with the rules of the axiomatic system presented for CPL.

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Chapter 4 Classical Belief Revision Abstract Belief revision is the subarea of knowledge representation which studies the dynamics of epistemic states of an agent. Belief systems are composed of three pieces: a representation of epistemic states, a set of epistemic attitudes, and types of belief change. Two specific belief systems are presented in this chapter, namely, AGM theory and belief base theory Keywords Belief revision · Partial meet contraction · AGM theory · Belief base theory · Belief systems This chapter introduces the main concepts and results about classical belief revision theory.

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