Abstract
This paper describes QLB, a quantified logic of belief that is a possible extension of the modal system KD45n to predicate level. The main features of QLB are that: (i) it is allowed to quantify over the agents of belief; (ii) the belief operator can be indexed by any term of the formal language; (iii) terms are not rigid designators, but are interpreted contextually; (iv) automatic theorem proving is possible in QLB (but it is not presented in this paper). QLB is constructed as a partial logic with a monotonic semantics on ordered sets, and its semantic theorems are defined as the formulae that are sometimes true and never false.
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Lomuscio, A., Colombetti, M. (1997). QLB: A quantified logic for belief. In: Müller, J.P., Wooldridge, M.J., Jennings, N.R. (eds) Intelligent Agents III Agent Theories, Architectures, and Languages. ATAL 1996. Lecture Notes in Computer Science, vol 1193. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0013578
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DOI: https://doi.org/10.1007/BFb0013578
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