Nonmonotonic Foundations for Deontic Logic

1997 ◽  
pp. 17-44 ◽  
Author(s):  
John F. Horty
Keyword(s):  
Deontic Logic

Dyadic Obligations over Complex Actions as Deontic Constraints in the Situation Calculus

2020 ◽  
Author(s):  
Jens Claßen ◽  
James Delgrande
Keyword(s):  
Artificial Intelligence ◽  
Deontic Logic ◽  
Action Theory ◽  
Prima Facie ◽  
Situation Calculus ◽  
Artificial Agents ◽  
Planning Techniques ◽  
Course Of Action ◽  
Reasoning About Action ◽  
The Given

With the advent of artificial agents in everyday life, it is important that these agents are guided by social norms and moral guidelines. Notions of obligation, permission, and the like have traditionally been studied in the field of Deontic Logic, where deontic assertions generally refer to what an agent should or should not do; that is they refer to actions. In Artificial Intelligence, the Situation Calculus is (arguably) the best known and most studied formalism for reasoning about action and change. In this paper, we integrate these two areas by incorporating deontic notions into Situation Calculus theories. We do this by considering deontic assertions as constraints, expressed as a set of conditionals, which apply to complex actions expressed as GOLOG programs. These constraints induce a ranking of "ideality" over possible future situations. This ranking in turn is used to guide an agent in its planning deliberation, towards a course of action that adheres best to the deontic constraints. We present a formalization that includes a wide class of (dyadic) deontic assertions, lets us distinguish prima facie from all-things-considered obligations, and particularly addresses contrary-to-duty scenarios. We furthermore present results on compiling the deontic constraints directly into the Situation Calculus action theory, so as to obtain an agent that respects the given norms, but works solely based on the standard reasoning and planning techniques.

scholarly journals Two dimensional Standard Deontic Logic [including a detailed analysis of the 1985 Jones–Pörn deontic logic system]

Synthese ◽  
2011 ◽  
Vol 187 (2) ◽  
pp. 623-660 ◽  
Author(s):  
Mathijs de Boer ◽  
Dov M. Gabbay ◽  
Xavier Parent ◽  
Marija Slavkovic
Keyword(s):  
Detailed Analysis ◽  
Deontic Logic ◽  
Two Dimensional ◽  
Standard Deontic Logic ◽  
Logic System

Utilitarian deontic logic

1996 ◽  
Vol 82 (3) ◽  
pp. 317-357 ◽  
Author(s):  
Lou Goble
Keyword(s):  
Deontic Logic

scholarly journals Mīmāṃsā deontic reasoning using specificity: a proof theoretic approach

2020 ◽  
Author(s):  
Björn Lellmann ◽  
Francesca Gulisano ◽  
Agata Ciabattoni
Keyword(s):  
Deontic Logic ◽  
Sequent Calculus ◽  
Prima Facie ◽  
Theoretic Approach ◽  
Deontic Reasoning ◽  
Complexity Results ◽  
Restricted Form ◽  
Philosophical School ◽  
Decidability And Complexity ◽  
Potential Use

Abstract Over the course of more than two millennia the philosophical school of Mīmāṃsā has thoroughly analyzed normative statements. In this paper we approach a formalization of the deontic system which is applied but never explicitly discussed in Mīmāṃsā to resolve conflicts between deontic statements by giving preference to the more specific ones. We first extend with prohibitions and recommendations the non-normal deontic logic extracted in Ciabattoni et al. (in: TABLEAUX 2015, volume 9323 of LNCS, Springer, 2015) from Mīmāṃsā texts, obtaining a multimodal dyadic version of the deontic logic $$\mathsf {MD}$$ MD . Sequent calculus is then used to close a set of prima-facie injunctions under a restricted form of monotonicity, using specificity to avoid conflicts. We establish decidability and complexity results, and investigate the potential use of the resulting system for Mīmāṃsā philosophy and, more generally, for the formal interpretation of normative statements.

scholarly journals Deontic Logic and Changing Preferences

2018 ◽  
pp. 1-49
Author(s):  
Johan Van Benthem ◽  
Fenrong Liu
Keyword(s):  
Deontic Logic

scholarly journals Cooperative security administration in multi-security-domain environments using a variant of deontic logic

2012 ◽  
Vol 19 (3) ◽  
pp. 635-653
Author(s):  
M. Amini ◽  
R. Jalili ◽  
M.A. Ehsan ◽  
F. Faghih
Keyword(s):  
Deontic Logic ◽  
Cooperative Security
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