论文信息 - Contraction Based on Sentential Selection

Contraction Based on Sentential Selection

The properties of full meet contraction are investigated, and it is shown to be a useful building-block in the construction of composite contraction operators. This is followed by a detailed investigation of specified meet contraction, i.e. the operation divided by such that K divided by p = K similar to f(p), where similar to is full meet contraction and f is a function from sentences to sentences. A number of realistic examples of belief contraction are discussed, and it is shown how the properties of contraction differ according to how the sentence to be contracted is situated in the structure of the belief state. Some plausible properties of f are proposed, and it is shown how they correspond to properties of the contraction operator.

Sven Ove Hansson

[1] Sven Ove Hansson. Hidden Structures of Belief , 1996, Logic, Action, and Information.

[2] Sven Ove Hansson,et al. Ten Philosophical Problems in Belief Revision , 2003, J. Log. Comput..

[3] Hans Rott. Belief Contraction in the Context for the General Theory of Rational Choice , 1993, J. Symb. Log..

[4] Sven Ove Hansson,et al. Belief contraction without recovery , 1991, Stud Logica.

[5] Sven Ove Hansson,et al. A survey of multiple contraction , 1994 .

[6] Sven Ove Hansson,et al. A textbook of belief dynamics - theory change and database updating , 1999, Applied logic series.

[7] Sven Ove Hansson. Kernel Contraction , 1994, J. Symb. Log..

[8] Peter Gärdenfors,et al. On the logic of theory change: Partial meet contraction and revision functions , 1985, Journal of Symbolic Logic.

[9] I. Levi. Mild Contraction: Evaluating Loss of Information Due to Loss of Belief , 2004 .

[10] Sven Ove Hansson,et al. Specified Meet Contraction , 2008 .

[11] David Makinson,et al. On the logic of theory change: Contraction functions and their associated revision functions , 2008 .

[12] Hans Rott,et al. Change, choice and inference , 2001 .

[13] Carlos E. Alchourrón,et al. Hierarchies of Regulations and their Logic , 1981 .