Titlebook: R-CALCULUS: A Logic of Belief Revision; Wei Li,Yuefei Sui Book 2021 Science Press 2021 Belief revision.AGM postulates.R-calculus.Gentzen d

只看該作者 · 發(fā)表于 2025-3-25 06:08:16

Preliminaries,ose which are different for different logical languages; the syntax specifies what strings of symbols are meaningful (formulas) in logic, and the semantics specifies the truth-values of formulas under an assignment (or a model).

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R-Calculi for First-Order Logic,on-based minimal change, respectively. For first-order logic [., ., .], because the undecidability of deduction relation we will give R-calculi without deciding whether . which are sound and complete with respect to .-minimal change, respectively [.].

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Approximate R-Calculus, . then the algorithm gives no. A set . is semi-decidable?if there is an algorithm to decide whether a given . is in .,? such that (i) if . then the algorithm gives yes, and (ii) if . then the algorithm may not terminate.

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只看該作者 · 發(fā)表于 2025-3-26 08:08:26

R-Calculi for Description Logics,n relation of description logics is between the ones of the deduction relation of the former and of the latter. Even though the quantifier . occurs in the concept constructor . its equivalent form in first-order logic is a guarded first-order formula, and the deduction relation in the guarded first-

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R-Calculi for First-Order Logic,ative R-calculi for first-order logic, where . are sound and complete with respect to subset-minimal change, pseudo-subformula minimal change, deduction-based minimal change, respectively. For first-order logic [., ., .], because the undecidability of deduction relation we will give R-calculi withou

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Nonmonotonicity of R-Calculus, logic, first-order logic, modal logic, etc., are monotonic. The nontraditional logics, such as default logic, R-calculi, autoepistemic logic, circumscription, etc., are nonmonotonic. The nonmonotonicity?of a nonmonotonic logic follows from using a negation . of a monotonic deduction . [.]. We found

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Approximate R-Calculus, set . is decidable?[., .] if there is an algorithm to decide whether a given . is in .,? such that (i) if . then the algorithm gives yes, and (ii) if . then the algorithm gives no. A set . is semi-decidable?if there is an algorithm to decide whether a given . is in .,? such that (i) if . then the a

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