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Power constructs and propositional systems
Bibliography : p. 161-176.
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613301335130112 |
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| access_status_str | Open Access |
| author | Britz, Katarina |
| author2 | Brink, Chris |
| author_browse | Brink, Chris Britz, Katarina |
| author_facet | Brink, Chris Britz, Katarina |
| author_sort | Britz, Katarina |
| collection | Thesis |
| description | Bibliography : p. 161-176. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/9053 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:57.504Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/9053 Power constructs and propositional systems Britz, Katarina Brink, Chris Mathematics and Applied Maths Bibliography : p. 161-176. Propositional systems are deductively closed sets of sentences phrased in the language of some propositional logic. The set of systems of a given logic is turned into an algebra by endowing it with a number of operations, and into a relational structure by endowing it with a number of relations. Certain operations and relations on systems arise from some corresponding base operation or relation, either on sentences in the logic or on propositional valuations. These operations and relations on systems are called power constructs. The aim of this thesis is to investigate the use of power constructs in propositional systems. Some operations and relations on systems that arise as power constructs include the Tarskian addition and product operations, the contraction and revision operations of theory change, certain multiple- conclusion consequence relations, and certain relations of verisimilitude and simulation. The logical framework for this investigation is provided by the definition and comparison of a number of multiple-conclusion logics, including a paraconsistent three-valued logic of partial knowledge. 2014-11-04T08:43:31Z 2014-11-04T08:43:31Z 1999 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/9053 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Maths Britz, Katarina Power constructs and propositional systems |
| thesis_degree_str | Doctoral |
| title | Power constructs and propositional systems |
| title_full | Power constructs and propositional systems |
| title_fullStr | Power constructs and propositional systems |
| title_full_unstemmed | Power constructs and propositional systems |
| title_short | Power constructs and propositional systems |
| title_sort | power constructs and propositional systems |
| topic | Mathematics and Applied Maths |
| url | http://hdl.handle.net/11427/9053 |
| work_keys_str_mv | AT britzkatarina powerconstructsandpropositionalsystems |