AAAI Publications, Thirteenth International Conference on the Principles of Knowledge Representation and Reasoning

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Model Based Horn Contraction
Zhiqiang Zhuang, Maurice Pagnucco

Last modified: 2012-05-17

Abstract


Following the recent trend of adapting the AGM (Alchourron and Makinson 1985) framework to propositional Horn logic, Delgrande and Peppas (Delgrande and Peppas 2011) give a model theoretic account for revision in the Horn logic set- ting. The current paper complements their work by studying the model theoretic approach for contraction. A model based Horn contraction is constructed and shown to give a model theoretic account to the transitively relational partial meet Horn contraction studied in (Zhuang and Pagnucco 2011). Significantly however, in contrast to (Delgrande and Pep- pas 2011), our model-based characterisation of Horn contrac- tion does not require the property of Horn compliance and totality over preorders. The model based contraction, upon proper restriction, also gives a model theoretic account for the epistemic entrenchment based Horn contraction studied in (Zhuang and Pagnucco 2010a).

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