{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T07:40:09Z","timestamp":1648539609504},"reference-count":0,"publisher":"IOS Press","license":[{"start":{"date-parts":[[2021,12,2]],"date-time":"2021-12-02T00:00:00Z","timestamp":1638403200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021,12,2]]},"abstract":"<jats:p>Normative positions are sometimes illustrated in diagrams, in particular in didactic contexts. Traditional examples are the Aristotelian polygons of opposition for deontic modalities (squares, triangles, hexagons, etc.), and the Hohfeldian squares for obligative and potestative concepts. Relying on previous work, we show that Hohfeld\u2019s framework can be used as a basis for developing several Aristotelian polygons and more complex diagrams. Then, we illustrate how logical theories of increasing strength can be built based on these diagrams, and how those theories enable us to determine in a computably efficient way whether a set of normative positions can be derived from another set of normative positions.<\/jats:p>","DOI":"10.3233\/faia210333","type":"book-chapter","created":{"date-parts":[[2021,12,7]],"date-time":"2021-12-07T09:13:37Z","timestamp":1638868417000},"source":"Crossref","is-referenced-by-count":0,"title":["Computability of Diagrammatic Theories for Normative Positions"],"prefix":"10.3233","author":[{"given":"Matteo","family":"Pascucci","sequence":"first","affiliation":[{"name":"Slovak Academy of Sciences, Bratislava, Slovakia"}]},{"given":"Giovanni","family":"Sileno","sequence":"additional","affiliation":[{"name":"University of Amsterdam, Amsterdam, The Netherlands"}]}],"member":"7437","container-title":["Frontiers in Artificial Intelligence and Applications","Legal Knowledge and Information Systems"],"original-title":[],"link":[{"URL":"https:\/\/ebooks.iospress.nl\/pdf\/doi\/10.3233\/FAIA210333","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,7]],"date-time":"2021-12-07T09:45:57Z","timestamp":1638870357000},"score":1,"resource":{"primary":{"URL":"https:\/\/ebooks.iospress.nl\/doi\/10.3233\/FAIA210333"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,2]]},"references-count":0,"URL":"https:\/\/doi.org\/10.3233\/faia210333","relation":{},"ISSN":["0922-6389","1879-8314"],"issn-type":[{"value":"0922-6389","type":"print"},{"value":"1879-8314","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,12,2]]}}}