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Normative Systems and their Revision: An Algebraic Approach
Faculty of Law, Lund University.
Division of Computer Science, Gävle University.
2003 (English)In: Artificial Intelligence and Law, ISSN 0924-8463, E-ISSN 1572-8382, Vol. 11, no 2-3, 81-104 p.Article in journal (Refereed) Published
Abstract [en]

 The paper discusses normative systems and their revision within an algebraic framework. If a system is logically well-formed, certain norms, called connecting norms, determine the system as a whole. It is maintained that, if the system is well-formed, a relation at least as low as determines a lattice or quasi-lattice of its connecting norms. The ideas are presented mainly in the form of comments on a legal example concerning acquisition of movable property by extinction of another person's previous rights.

Place, publisher, year, edition, pages
2003. Vol. 11, no 2-3, 81-104 p.
Keyword [en]
Alchourrón, Boolean quasi-ordering, Bulygin, connecting norm, defeasibility, norm revision
National Category
Information Science
Identifiers
URN: urn:nbn:se:kth:diva-9620DOI: 10.1023/B:ARTI.0000046005.10529.47OAI: oai:DiVA.org:kth-9620DiVA: diva2:126740
Note
20100901Available from: 2008-11-20 Created: 2008-11-20 Last updated: 2017-12-14Bibliographically approved
In thesis
1. Many-Sorted Implicative Conceptual Systems
Open this publication in new window or tab >>Many-Sorted Implicative Conceptual Systems
2008 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

A theory of many-sorted implicative conceptual systems (abbreviated msic-systems) is presented. Examples of msic-systems include legal systems, normative systems, systems of rules and instructions, and systems expressing policies and various kinds of scientific theories. In computer science, msic-systems can be used in, for instance, legal information systems, decision support systems, and multi-agent systems. In the thesis, msic-systems are studied from a logical and algebraic perspective aiming at clarifying their structure and developing effective methods for representing them. Of special interest are the most narrow links or joinings between different strata in a system, that is between subsystems of different sorts of concepts, and the intermediate concepts intervening between such strata. Special emphasis is put on normative systems, and the role that intermediate concepts play in such systems, with an eye on knowledge representation issues. Normative concepts are constructed out of descriptive concepts using operators based on the Kanger-Lindahl theory of normative positions. An abstract architecture for a norm-regulated multi-agent system is suggested, containing a scheme for how normative positions will restrict the set of actions that the agents are permitted to choose from. Technical results inlude a characterization of an msic-system in terms of the most narrow joinings between different strata, characterization of the structure of the most narrow joinings between two strata, conditions for the extendability of intermediate concepts, and finally, a specification of the conditions such that the Boolean operations on intermediate concepts will result in intermediate concepts and characterization of most narrow joinings in terms of weakest grounds and strongest consequences.

Place, publisher, year, edition, pages
Stockholm: Department of Computer and Systems Sciences, Royal Institute of Technology, 2008. xiv, 61 p.
Series
Report series / Department of Computer & Systems Sciences, ISSN 1101-8526 ; 08-012
National Category
Information Science
Identifiers
urn:nbn:se:hig:diva-3967 (URN)978-91-7415-141-1 (ISBN)
Public defence
2008-12-03, Hall C,KTH-Forum, Isafjordsgatan 39, Kista, 13:00 (Swedish)
Opponent
Supervisors
Note
Teknologie doktorsexamenAvailable from: 2009-03-19 Created: 2009-03-18 Last updated: 2009-05-08Bibliographically approved
2. Many-Sorted Implicative Conceptual Systems
Open this publication in new window or tab >>Many-Sorted Implicative Conceptual Systems
2008 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

A theory of many-sorted implicative conceptual systems (abbreviated msic-systems) is presented. Examples of msic-systems include legal systems, normative systems, systems of rules and instructions, and systems expressing policies and various kinds of scientific theories. In computer science, msic-systems can be used in, for instance, legal information systems, decision support systems, and multi-agent systems. In the thesis, msic-systems are studied from a logical and algebraic perspective aiming at clarifying their structure and developing effective methods for representing them. Of special interest are the most narrow links or joinings between different strata in a system, that is between subsystems of different sorts of concepts, and the intermediate concepts intervening between such strata. Special emphasis is put on normative systems, and the role that intermediate concepts play in such systems, with an eye on knowledge representation issues. Normative concepts are constructed out of descriptive concepts using operators based on the Kanger-Lindahl theory of normative positions. An abstract architecture for a norm-regulated multi-agent system is suggested, containing a scheme for how normative positions will restrict the set of actions that the agents are permitted to choose from. Technical results inlude a characterization of an msic-system in terms of the most narrow joinings between different strata, characterization of the structure of the most narrow joinings between two strata, conditions for the extendability of intermediate concepts, and finally, a specification of the conditions such that the Boolean operations on intermediate concepts will result in intermediate concepts and characterization of most narrow joinings in terms of weakest grounds and strongest consequences.

Place, publisher, year, edition, pages
Stockholm: KTH, 2008. xiv, 61 p.
Series
Report series / DSV, ISSN 1101-8526 ; 08-012
National Category
Information Science
Identifiers
urn:nbn:se:kth:diva-9624 (URN)978-91-7415-141-1 (ISBN)
Public defence
2008-12-03, Hall C, KTH-Forum, Isafjordsgatan 39, Kista, 13:00 (English)
Opponent
Supervisors
Note
QC 20100901Available from: 2009-01-26 Created: 2008-11-20 Last updated: 2010-09-01Bibliographically approved

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