Title
A computationally grounded dynamic logic of agency, with an application to legal actions
Abstract
In this article, we propose a Dynamic Logic of Propositional Control DL-PC in which the concept of 'seeing to it that' (abbreviated stit) as studied by Belnap, Horty and others can be expressed; more precisely, we capture the concept of the so-called Chellas stit theory and the deliberatibe stit theory, as opposed to Belnap's original achievement stit. In this logic, the sentence 'group G sees to it that φ' is defined in terms of dynamic operators: it is paraphrased as 'group G is going to execute an action now such that whatever actions the agents outside G can execute at the same time, φ is true afterwards'. We also prove that the satisfiability problem is decidable. In the second part of the article we extend DL-PC with operators modeling normative concepts, resulting in a logic DL-PCLeg. In particular, we define the concepts of 'legally seeing to it that' and 'illegally seeing to it that'. We prove that the decidability result for DL-PC transfers to DL-PCLeg.
Year
DOI
Venue
2012
10.1007/978-3-642-31570-1_12
DEON
Keywords
Field
DocType
logic dl-pcleg,dynamic logic,deliberatibe stit theory,group g,original achievement stit,decidability result,normative concept,stit theory,abbreviated stit,legal action,propositional control dl-pc,action,modal logic,agency
Computer science,Normative,Boolean satisfiability problem,Algorithm,Decidability,Artificial intelligence,Operator (computer programming),Modal logic,Dynamic logic (digital electronics),Sentence,Dynamic logic (modal logic)
Conference
Citations 
PageRank 
References 
0
0.34
26
Authors
4
Name
Order
Citations
PageRank
Andreas Herzig165548.55
Tiago De Lima29212.25
Emiliano Lorini343855.70
Nicolas Troquard426629.54