Trivalent Logics and Their Applications (2012)

Authors
Robert Trypuz
Katolicki Uniwersytet Lubelski (KUL)
Piotr Kulicki
John Paul II Catholic University of Lublin
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.
Keywords deontic logic  trivalence  nondeterministic matrices
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References found in this work BETA

A Useful Four-Valued Logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
A Deontic Logic of Action.Krister Segerberg - 1982 - Studia Logica 41 (2-3):269 - 282.
Theorie Des Propositions Normatives.J. Kalinowski - 1953 - Studia Logica 1 (1):147-182.
How to Build a Deontic Action Logic.Piotr Kulicki & Robert Trypuz - 2012 - In Michal Pelis & Vit Puncochar (eds.), The Logica Yearbook 2011. College Publications.

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Citations of this work BETA

Deontic Paradoxes and Tableau System for Kalinowski’s Deontic Logic K1.Janusz Ciuciura - 2017 - Bulletin of the Section of Logic 46 (3/4):283-291.

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