Complex network zeta function - Revision history

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			In [[modal logic]], a '''classical modal logic''' '''L''' is any modal logic containing (as axiom or theorem) the [[duality (mathematics)\|duality]] of the modal operators

			<math>\Diamond A \equiv \lnot\Box\lnot A</math>

			which is also [[Deductive closure\|closed]] under the rule

			<math> A \equiv B \vdash \Box A\equiv\Box B.</math>

			Alternatively one can give a dual definition of '''L''' by which '''L''' is classical iff it contains (as axiom or theorem)

			<math>\Box A \equiv \lnot\Diamond\lnot A</math>

			and is closed under the rule

			<math> A \equiv B \vdash \Diamond A\equiv\Diamond B.</math>

			The weakest classical system is sometimes referred to as '''E''' and is [[normal modal logic\|non-normal]]. Both [[algebraic semantics (mathematical logic)\|algebraic]] and [[neighborhood semantics]] characterize familiar classical modal systems that are weaker than the weakest normal modal logic '''K'''.

			Every [[regular modal logic]] is classical, and every [[normal modal logic]] is regular and hence classical.

			==References==
			Chellas, Brian. ''Modal Logic: An Introduction''. Cambridge University Press, 1980.
			==Notes==
			{{reflist}}
			==External links==

			{{DEFAULTSORT:Classical Modal Logic}}
			[[Category:Modal logic]]


			{{logic-stub}}

en>Michael Hardy: /* Random graph zeta function */

2012-02-01T17:42:06Z

Random graph zeta function

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