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Abstract: The nonmonotonic logics de nable by de nability-preserving choice functions that satisfy Coherence have been studied in [7]. Larger families correspond to weakenings of this property. The cumulative and loop-cumulative relations of [6] are characterized by such models and, as a consequence, one may study the natural connectives for those logics. The representation results obtained are surprisingly smooth: in the completeness part the choice function may be de ned on any set of models, ... (Update)
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BibTeX entry: (Update)
@misc{ lehmann-connectives,
author = "Daniel Lehmann",
title = "Connectives in Quantum and other Cumulative Logics",
url = "citeseer.ist.psu.edu/lehmann02connectives.html" }
Citations (may not include all citations):94 General patterns in nonmonotonic reasoning (context) - Makinson - 1994
22 The logic of quantum mechanics (context) - Birkho, von Neumann - 1936
18 Arti cial Intelligence (context) - Kraus, Lehmann et al. - 1990
13 What is logic (context) - Hacking - 1979
11 Quantum logic (context) - Dalla - 2001
5 Nonmonotonic reasoning: from nitary relations to in nitary i.. (context) - Freund, Lehmann - 1994
3 Nonmonotonic logics and semantics - Lehmann - 2001
3 Arti cial Intelligence (context) - Engesser, Gabbay et al. - 2002
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