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Initial Experiments with Statistical Conjecturing over Large Formal Corpora
"... Abstract. A critical part of mathematicians' work is the process of conjecture-making. This involves observing patterns in and between mathematical objects, and transforming such patterns into conjectures that describe or better explain the behavior of the objects. Computer scientists have sin ..."
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Abstract. A critical part of mathematicians' work is the process of conjecture-making. This involves observing patterns in and between mathematical objects, and transforming such patterns into conjectures that describe or better explain the behavior of the objects. Computer scientists have since long tried to reproduce this process automatically, but most of the methods were typically restricted to specific domains or based on brute-force enumeration methods. In this work we propose and implement methods for generating conjectures by using statistical analogies extracted from large formal libraries, and provide their initial evaluation.