Abstract
This is a summary of some things that can be said about negation understood as an impossibility operator. To model negation one may use possible-worlds models in the style of Kripke that have an accessibility relation R N peculiar to negation: not A holds at a world x if and only if A doesn’t hold at any world accessible from x by R N . This method for modelling negation is applicable to classical logic, intuitionistic logic, intermediate logics and, in general, nonclassical logics with models in the style of Kripke, like relevant, linear and other substructural logics. We concentrate here on negation-like operators added to intuitionistic negationless logic, taken as a test case. One could later try to proceed analogously with other logics.
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© 1999 Springer Science+Business Media Dordrecht
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Došen, K. (1999). Negation in the Light of Modal Logic. In: Gabbay, D.M., Wansing, H. (eds) What is Negation?. Applied Logic Series, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9309-0_4
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DOI: https://doi.org/10.1007/978-94-015-9309-0_4
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