Cost-Based Intuitionist Probabilities on Spaces of Graphs, Hypergraphs and Theorems

13 Mar 2017Ben Goertzel

A novel partial order is defined on the space of digraphs or hypergraphs, based on assessing the cost of producing a graph via a sequence of elementary transformations. Leveraging work by Knuth and Skilling on the foundations of inference, and the structure of Heyting algebras on graph space, this partial order is used to construct an intuitionistic probability measure that applies to either digraphs or hypergraphs... (read more)

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