Trivalent Logics and Their Applications (
2012)
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Abstract
Trivalence is quite natural for deontic action logic, where actions
are treated as good, neutral or bad.We present the ideas of trivalent
deontic logic after J. Kalinowski and its realisation in a 3-valued logic
of M. Fisher and two systems designed by the authors of the paper: a
4-valued logic inspired by N. Belnap’s logic of truth and information and
a 3-valued logic based on nondeterministic matrices. Moreover, we combine
Kalinowski’s idea of trivalence with deontic action logic based on
boolean algebra.