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We propose an extension of action theories to intention theories in the framework of situation calculus. Moreover the method for implementing action theories is adapted to consider the new components. The intention theories take account of the BDI (Belief-Desire-Intention) architecture. In order to avoid the computational complexity of theorem proving in… (More)

Model-based propositional belief merging operators are constructed from distances between the interpretations, or states, of the logic under consideration. In this paper we extend the notion of a distance between interpretations to generalised versions of propositional interpretations referred to as m-states. m-states allow for the definition of m-merging… (More)

The Situation Calculus has been used by Scherl and Levesque to represent beliefs and belief change without modal operators thanks to a predicate plays the role of an accessibility relation. Their approach has been extended by Shapiro et al. to support belief revision. In this extension plausibility levels are assigned to each situation, and the believed… (More)

Merging operators try to define the beliefs of a group of agents according to the beliefs of each member of the group. Several model-based propositional belief merging operators have been proposed which use distance measures and aggregation functions. This paper introduces the notion of Partial Satisfiability which is an alternative way of measuring the… (More)

We study syntactical merging operations that are defined semantically by means of the Hamming distance between valuations; more precisely, we investigate the Σ-semantics, Gmax-semantics and max-semantics. We work with a logical language containing merging operators as connectives, as opposed to the metalanguage operations of the literature. We capture these… (More)

Deontic logic is appropriate to model a wide variety of legal arguments, however this logic suffers form certain paradoxes of which the so-called Chisholm is one of the most notorious. We propose a formal-isation of the Chisholm set in the framework of the situation calculus. We utilise this alternative to modal logic for formalising the obligations of the… (More)

The ramification problem concerns the characterisation of indirect effects of actions. This problem arises when a theory of action is integrated with a set of state constraints. So integrating state constraints to a solution of the frame problem must deal with the ramification problem. In the situation calculus a general solution to both the frame and… (More)