Parameter Structures for Parametrized Modal Operators

Ohlbach, Hans Jürgen; Herzig, Andreas

Parameter Structures for Parametrized Modal Operators

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Proceedings of the Twelfth International Joint Conference on Artificial Intelligence. Knowledge Representation. Pages 512-516.

Abstract

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.

Hans Jürgen Ohlbach, and Andreas Herzig. 1991. Parameter Structures for Parametrized Modal Operators. In Proceedings of the Twelfth International Joint Conference on Artificial Intelligence, IJCAI-91. IJCAI, 512–516. https://ijcai.org/proceedings/1991/77

@inproceedings{ijcai1991p77,
  title     = {Parameter Structures for Parametrized Modal Operators},
  author    = {Ohlbach, Hans Jürgen and Herzig, Andreas},
  booktitle = {Proceedings of the Twelfth International Joint Conference on
               Artificial Intelligence, {IJCAI-91}},
  publisher = {International Joint Conferences on Artificial Intelligence},
  editor    = {John Mylopoulos and Ray Reiter},
  pages     = {512--516},
  year      = {1991},
  month     = {8},
  note      = {Knowledge Representation},
  url       = {https://ijcai.org/proceedings/1991/77},
}

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TI  - Parameter Structures for Parametrized Modal Operators
AU  - Ohlbach, Hans Jürgen
AU  - Herzig, Andreas
T2  - Proceedings of the Twelfth International Joint Conference on Artificial Intelligence, IJCAI-91
PB  - International Joint Conferences on Artificial Intelligence
PY  - 1991
SP  - 512
EP  - 516
UR  - https://ijcai.org/proceedings/1991/77
ER  -