Introduction to knowledge base systems
Introduction to knowledge base systems
A more expressive formulation of many sorted logic
Journal of Automated Reasoning
A many-sorted calculus based on resolution and paramodulation
A many-sorted calculus based on resolution and paramodulation
Belief, awareness, and limited reasoning
Artificial Intelligence
Computational aspects of an order-sorted logic with term declarations
Computational aspects of an order-sorted logic with term declarations
Fuzzy sets as a basis for a theory of possibility
Fuzzy Sets and Systems
A Resolution Calculus for Modal Logics
Proceedings of the 9th International Conference on Automated Deduction
Lattice-based graded logic: a multimodal approach
UAI'92 Proceedings of the Eighth international conference on Uncertainty in artificial intelligence
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The parameters of the parameterized modal operators [p] and 〈p〉 usually represent agents (in the epistemic interpretation) or actions (in the dynamic logic interpretation) or the like. In this paper the application of the idea of parametrized modal operators is extended in in two ways: First of all a modified neighbourhood semantics is defined which permits among others the interpretation of the parameters as probability values. A formula [5] F may for example express the fact that in at least 50% of all cases (worlds) F holds. These probability values can be numbers, qualitative descriptions and even arbitrary terms. Secondly a general theory of the parameters and in particular of the characteristic operations on the parameters is developed which unifies for example the multiplication of numbers in the probabilistic interpretation of the parameters and the sequencing of actions in the dynamic logic interpretation.