Formal Models of Norm Change 2

Workshop, University of Amsterdam, 18–19 January 2010

Program

Invited speakers

Schedule

Monday, January 18th

Tuesday, January 19th

Abstracts

Distinguishing norm change from information change (Guillaume Aucher, University of Luxembourg) Slides
Normative sentences can be used to change or to describe the normative system, known as prescriptive and descriptive obligations respectively. In applications of deontic logic, it is important to distinguish these two uses of normative sentences. In this talk, I show how they can be distinguished and analysed in a dynamic epistemic deontic logic. Observing that this logic only allows to specify norm promulgation, I also propose another approach where norm derogation can be modeled.

Dynamic-doxastic norms versus doxastic-norm dynamics (Alexandru Baltag, Oxford University) Slides
In addition to doxastic norms (e.g. educated people in the 21st century should believe in Evolution), there also exist norms for doxastic change (e.g. Catholics should accept as infallible the Pope's pronouncements, i.e. always perform a hard belief update with whatever the Pope announces). Some of these ``dynamic-doxastic norms" may be thought to correspond to (some of) the various belief- upgrading procedures proposed in the literature (Bayesian or Jeffrey conditionalization, radical belief upgrade, conservative upgrade etc) . Different paradigms may be embodied in different such norms for belief revision: e.g. the AGM approach prescribes always accepting the new information while minimizing the resulting belief change as much as possible; a fundamentalist's norms would prescribe keeping the old beliefs no matter what; while Learning Theory prescribes adopting the revision procedure that is most likely to lead faster to ``the truth". Specific events (religious conversion or apostasy, loss of trust in a person, hard evidence or even simple logical reasoning) may prompt one to revise his/her very norms for belief revision. I give some examples in this sense, including the Surprise Examination Paradox, and I discuss the possibility of formalizing these meta-changes, as a first step towards a future ``Revision Theory of Belief-Revision Norms".

A Dynamic Logician Looks at Deontics (Johan van Benthem, Universities of Amsterdam and Stanford)
Deontic reasoning is an exciting mixture of information about people and the world, and evaluation of what our actions achieve there. I will present some dynamic logics that put information and evaluation on an equal footing, and then discuss [some feasible sample of] what they suggest about * changing obligations and changing norms, * mixed semantic-syntactic representations, and obligations having to do with both (e.g., process duties of reasoning well), * entanglements of obligation and information, and some parallels with other areas where this phenomenon plays, * game perspectives and group obligations. My main purpose is to explore what old issues will look like, and have an agenda discussion between communities.

Lex minus dixit quam voluit, lex magis dixit quam voluit: norm change for legal interpretation (Guido Boella, University of Turin) Slides
This talk proposes a logical framework which is able to capture the norm change power and at the same time the limitations of the judicial system in revising the set of constitutive rules defining the concepts on which the applicability of norms is based. In particular, the framework is used to reconstruct some interpretive arguments described in legal theory such as those corresponding to the Roman maxims Lex minus dixit quam voluit and lex magis dixit quam voluit.

General Norm Change (Emile Weydert and Richard Booth, University of Luxembourg) Slides
In this talk, we are going to sketch a general framework for norm change which tries to take into account some specificities of norms and their dynamics as compared to assertions and belief revision. We see norms as inferentially inert conditionals, to be distinguished from conditional obligations. Normative states or systems are structures reflecting the history of norms as well as their status. This information and the logical structure of norms will guide the revision process initiated by the creation or reaffirmation of norms. We illustrate the approach with a simple norm change strategy reflecting the specific nature of norms. We also make some remarks about its relation with belief change.

Reactive Theories and Norm Change (Dov Gabbay, King's College London) Slides, Abstract

Voluntas bonorum consonat legi: The two faces of betterness (Davide Grossi, University of Amsterdam) Slides
In this talk I will look at deontic logic as resulting from both a betterness ordering on states and a betterness ordering on propositions. The correspondence between these two orderings offers a rich perspective from which to look at deontic scenarios. I will then present some preliminary work on the types of dynamics that can be captured within such a framework.

The logic of acceptance: a bottom-up perspective on institutional reality (Emiliano Lorini, Universite' Paul Sabatier) Slides
The topic of this talk is the logic of acceptance, a modal logic framework recently proposed in the domain of multi-agent systems, which allows to express what certain agents accept while functioning together as members of an institution, and to ground the abstract level of institutions on agents' mental attitudes. I will first present the static logical framework by showing how several normative concepts (e.g. obligations, permissions, constitutive rules, social commitments) can be defined in the acceptance logic. Then, I will present some recent developments of acceptance logic which have been proposed in order to deal with institutional dynamics. I will provide a formal semantics and complete axiomatization of three basic operations on acceptance: announcement in an institutional context, acceptance shift, assignment on acceptances. The first operation allows to formalize the act of issuing a norm in an institution and its effects on the acceptances of the institution members. The second operation is a form of revision operation for acceptance which allows to model a radical change in an institution and a process of institution formation. The third operation will be used in order to characterize the dynamics of social commitments (commitment creation and commitment cancelation). In the last part of the talk, I will shed light on the logical distinction between the concept of acceptance, and the classical concepts of belief, common belief and preference which have been extensively studied in the philosophical literature and in the area of multi-agent systems. I will offer some perspectives for an extension of acceptance logic by doxastic modalities and modalities for preference.

What is norm change? (Gabriella Pigozzi and Leon van der Torre, University of Luxembourg) Slides
In this talk we give a historical survey on norm change, we present some benchmark examples, and we distinguish it from the dynamics of obligations and permissions over time.

On norms for the dynamics of argumentative interaction: argumentation as a game (Henry Prakken, Utrecht University)Slides
Argumentation is one of the hot topics in current logic-based AI research. It is studied both as a form of (nonmonotonic) inference and as a kind of interaction between rational agents. In this \'a0talk the modelling of argumentation in both senses as a kind of game is discussed. My main claim will be that the rules of the game, or norms, for argumentation-based inference are fundamentally different from the norms of argumentative interaction: while the former derive their justification from semantic accounts of nonmonotonic inference, the latter are instead meant to promote fair and effective conflict resolution.

Modeling Legal Dynamics in Defeasible Logic (Antonino Rotolo, University of Bologna)Slides
The law implements norm dynamics through different types of legal modifications. Basically, modifications can be either explicit or implicit. In the first case, the law introduces norms whose peculiar objective is to change the system by specifying what and how other existing norms should be modified. In the second case, the legal system is revised by introducing new norms which are not specifically meant to modify previous norms, but which change in fact the system because they are incompatible with such existing norms and prevail over them. In this talk I will report on my recent research into using suitable extensions of Defeasible Logic (DL) for modeling explicit modifications. I will first discuss some relevant types of modifications, such as those which concern the text of legal provisions, their validity and existence, their scope, or their time of force, efficacy, or applicability. Second, I will consider when ideas and techniques from belief and base revision can be applied in DL to capture these modifications and when legal dynamics require to resort to richer languages and logical tools, such as the ones provided by some temporal extensions of DL.

Expressing obligations by strategic ability update Paolo Turrini (Utrecht University)Slides
The presentation will concern the interaction properties between preferences and strategic ability (a set of choices, i.e. a set of sets of alternatives) of coalitions (a set of players). A language will be introduced to talk about the conflict between coalitionally optimal and socially optimal choices. Optimality of choice will be described taking into account the modifications (updates) of a coalition's strategic ability induced by the possible decisions taken by the other players. Obligations will be seen as constructs that enable to identify socially optimal choices. To formalize them a semantics for strategic ability update will be discussed.

The workshop is held under the auspices of