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Normative positions within an algebraic approach to normative systems
Faculty of Law, Lund University.
Division of Computer Science, Gävle University.
2004 (English)In: Journal of Applied Logic, ISSN 1570-8683, E-ISSN 1570-8691, Vol. 2, no 1, 63-91 p.Article in journal (Refereed) Published
Abstract [en]

The formal analysis of normative systems as initiated by Alchourrón and Bulygin can be complemented by the analysis of normative positions as pursued by Kanger, Lindahl, Sergot and Jones. The paper is a step towards integrating the two approaches within an algebraic theory of so-called Boolean quasi-orderings (Bqo's). In the general Bqo theory presented, a number of theoretical tools are introduced and elucidated by theorems, in particular those of fragment, connection, coupling and pair coupling. Condition implication structures (cis's) are models of the Bqo theory used for the representation of normative systems. A system of normative positions is introduced as a special kind of cis. The final section is devoted to an example exhibiting a legal mini-system where a cis of normative positions (np-cis) is joined to a descriptive cis.

Place, publisher, year, edition, pages
2004. Vol. 2, no 1, 63-91 p.
Keyword [en]
Normative systems, Alchourrón, Bulygin, Normative positions, Kanger, Implication structures, Boolean algebra, Deontic logic, Logic of action
National Category
Information Systems
Identifiers
URN: urn:nbn:se:kth:diva-9617DOI: 10.1016/j.jal.2004.01.004OAI: oai:DiVA.org:kth-9617DiVA: diva2:126736
Note
QC 20100901Available from: 2008-11-20 Created: 2008-11-20 Last updated: 2018-01-13Bibliographically 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 Systems
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: 2018-01-13Bibliographically 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 Systems
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: 2018-01-13Bibliographically approved

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