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Titlebook: R-Calculus, III: Post Three-Valued Logic; Wei Li,Yuefei Sui Book 2022 Science Press 2022 Belief revision.AGM postulates.R-calculus.Gentzen

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Post Three-Valued Logic,In Post three-valued logic [., .], the unary connective . is transverse, that is, for any two values ., .,  there is an operator . such that . and negation . is not transverse, i.e., there is no operator . such that
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Post Three-Valued Description Logic,Let . A theory . is .-valid [., ., ., .] if for any interpretation .,  there is a statement . such that . and a theory . is .-valid if there is an interpretation . such that for each statement
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,R-Calculi for Post Three-Valued Description Logic,Given a theory . and a statement . a reduction . is .-valid, denoted by . if
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,R-Calculi for Corner Multisequents,Given a multisequent . is .-valid [1,2,5,6] if for any assignment .,  ..
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General Multisequents,Hilbert axiomatic system is for validity. Gentzen deduction system in propositional logic is sound and complete for validity of sequents.
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R-Calculi for General Multisequents,There is an R-calculus . for multisequents such that . . consists of axioms and deduction rules; . . is sound and complete with respect to .-validity of R-reductions; . The monotonicity of . is determined by that of the axioms, and deduction rules preserve the monotonicity [.,.,.,.,.,.].
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Finding Location with the Geolocation API,in the browser. However, if you make such information available to web applications, they can make innovative use of it. For example, a social networking web application can suggest friends who are in the same locality as you. User-location information can also be used in job portals to suggest jobs near the user’s geographical location.
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