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<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a>
Distance-based reasoning is a well-known approach for defining non-monotonic and paraconsistent formalisms, which so far has been mainly used in the context of standard two-valued semantics. In this paper, we extend this approach to arbitrary denotational semantics by considering dissimilarities, a generalization of distances. Dissimilarity-based reasoning is then applied for handling inconsistency in knowledge-based systems using various non-classical logics. This includes logics defined by<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-28472-4_3">doi:10.1007/978-3-642-28472-4_3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/uxahvy4dmbbglgrgyxt7b5ekky">fatcat:uxahvy4dmbbglgrgyxt7b5ekky</a> </span>
more »... ti-valued semantics, non-deterministic semantics, and possible-worlds (Kripke-style) semantics. In particular, we show that our approach allows to define a variety of inconsistency-tolerant entailment relations, and that it extends many well-studied forms of reasoning in the context of belief revision and database integration. Definition 3. A denotational semantics Example 2. Any denotational semantics S for which there is an S-contradiction, is normal. A denotational semantics S induces the following relation on T L × F L : The following proposition is easily verified. 3 Proposition 1. Let S = ⟨S, |= S ⟩ be a denotational semantics for L. Then ⟨L, ⊢ S ⟩ is a propositional logic for L.
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