Abstract
The aim of the present paper is to provide a metalogical systematisation in the area of deontic action logic based on Boolean algebra. Differences among the systems in question lie in two aspects: the level of closedness of a deontic action logic and the possibility of performing no action at all. It is also shown that the existing definitions of obligation in those systems are not acceptable due to their unintuitive interpretation or paradoxical consequences. As a solution we propose an axiomatic characterisation of obligation with an adequate class of models.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Castañeda, H.N.: The Paradoxes of Deontic Logic: The simplest colution to all of them in one fell swoop. In: Hilpinen, R. (ed.) New Studies in Deontic Logic, pp. 37–85. Reidel, Dordrecht (1981)
Castro, P.F., Maibaum, T.S.E.: A Tableaux System for Deontic Action Logic. In: van der Meyden, R., van der Torre, L. (eds.) DEON 2008. LNCS (LNAI), vol. 5076, pp. 34–48. Springer, Heidelberg (2008)
Castro, P.F., Maibaum, T.S.E.: Deontic action logic, atomic boolean algebras and fault-tolerance. J. of Applied Logic 7(4), 441–466 (2009)
Dignum, F., Meyer, J.-J.C., Wieringa, R.J.: Free choice and contextually permitted actions. Studia Logica 57(1), 193–220 (1996)
Føllesdal, D., Hilpinen, R.: Deontic logic: an introduction. In: Hilpinen, R. (ed.) Deontic Logic: Introductory and Systematic Reading, pp. 1–35. D. Reidel, Dordrecht (1971)
Hughes, J., Royakkers, L.M.M.: Don’t Ever Do That! Long-term Duties in PD e L. In: Goble, L., Meyer, J.-J.C. (eds.) DEON 2006. LNCS (LNAI), vol. 4048, pp. 131–148. Springer, Heidelberg (2006)
Kalinowski, J.: Theorie des propositions normatives. Studia Logica 1, 147–182 (1953)
Lokhorst, C.G.-J.: Reasoning about actions and obligations in first-order logic. Studia Logica 57(1), 221–237 (1996)
McCarty, L.T.: Permissions and Obligations. In: Proccedings of IJCAI-83, pp. 287–294 (1983)
Van Der Meyden, R.: The dynamic logic of permission. J. of Logic and Computation 6, 465–479 (1996)
Meyer, J.J.C.: A Different Approach to Deontic Logic: Deontic Logic Viewed as a Variant of Dynamic Logic. Notre Dame Journal of Formal Logic 1, 109–136 (1988)
Ross, A.: Imperatives and logic. Theoria 7, 53–71 (1941)
Segerberg, K.: Action-games. Acta Philosophica Fennica 32, 220–231 (1981)
Segerberg, K.: A Deontic Logic of Action. Studia Logica 41, 269–282 (1982)
Trypuz, R., Kulicki, R.: A systematics of deontic action logics based on boolean algebra. Logic and Logical Philosophy (forthcoming, 2010)
von Wright, G.H.: Deontic logic. Mind LX(237), 1–15 (1951)
von Wright, G.H.: An Essay in Deontic Logic and the General Theory of Action. North Holland, Amsterdam (1968)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Trypuz, R., Kulicki, P. (2010). Towards Metalogical Systematisation of Deontic Action Logics Based on Boolean Algebra. In: Governatori, G., Sartor, G. (eds) Deontic Logic in Computer Science. DEON 2010. Lecture Notes in Computer Science(), vol 6181. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14183-6_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-14183-6_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14182-9
Online ISBN: 978-3-642-14183-6
eBook Packages: Computer ScienceComputer Science (R0)