Cavity ring-down spectroscopy: Difference between revisions

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Rv and hyphenate. It was not an accidental duplication. "shot-to-shot".
 
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{{Unreferenced|date=November 2009}}


In [[logic]], a '''normal [[modal logic]]''' is a set ''L'' of modal formulas such that ''L'' contains:
* All propositional [[tautology (logic)|tautologies]];
* All instances of the Kripke schema: <math>\Box(A\to B)\to(\Box A\to\Box B)</math>
and it is closed under:
* Detachment rule ([[Modus Ponens]]): <math> A\to B, A \vdash B</math>;
* Necessitation rule: <math>\vdash A</math> implies <math>\vdash\Box A</math>.


The smallest logic satisfying the above conditions is called '''K'''. Most modal logics commonly used nowadays (in terms of having philosophical motivations), e.g. [[C. I. Lewis]]'s S4 and [[S5 (modal logic)|S5]], are extensions of '''K'''. However a number of [[deontic logic|deontic]] and [[epistemic logic]]s, for example, are non-normal, often because they give up the Kripke schema.
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{{DEFAULTSORT:Normal Modal Logic}}
[[Category:Modal logic]]
 
 
{{Logic-stub}}

Latest revision as of 20:45, 27 December 2014


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