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Artificial Intelligence - Special issue on economic principles of multi-agent systems
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Extended Fuzzy Logic Programs with Fuzzy Answer Set Semantics
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ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
SUM'11 Proceedings of the 5th international conference on Scalable uncertainty management
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In this paper we study the relationship between Stochastic Satisfiability (SSAT) [20,12] and Extended Hybrid Probabilistic Logic Programs (EHPP) with probabilistic answer set semantics [22]. We show that any instance of SSAT can be modularly translated into an EHPP program with probabilistic answer set semantics. In addition, we prove that there is no modular mapping from EHPP to SSAT. This shows that EHPP is more expressive than SSAT from the knowledge representation point of view. Moreover, we present that the translation in the other way around from a program in EHPP to SSAT is more involved. We show that not every program in EHPP can be translated into an SSAT instance, rather a restricted class of EHPP can be translated into SSAT.