Fixed point equations as hypotheses in inductive reasoning
A logic procedure is provided as to discover relations inductively from experimental data. This logic inductive inference method discovers the properties of the relations in question step by step in the form of fixed point equations.
The defining formulas in these equations may use only bounded quantifiers but the relation to be defined may also negatively occur. By using this type of equations all primitive recursive relations can be defined.
One of the main characteristics is that the hypothesis is constructed on the base of experimental data instead of choosing it from a given set.
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