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I don't doubt there have been advances at conjecture generation, but not being very familiar with the field I need to ask.
Specifically, I've been using souffle to manage a knowledge-base of facts about objects in the category of rings (https://ringtheory.herokuapp.com/). Each object either has or lacks certain conditions. There is a file of stored clauses that I run against this to deduce as much as possible.
Given some collection of conditions, I would like to do this:
From all the stored examples, see if one exists with those conditions, and if so, stop here.
If none exist, create a hypothetical object with those properties and run the body of logic against it. If there is a contradiction, stop here.
If no contradictions are found, then either a) an example exists for the set or b) there's a new theorem to be proven that none like that can exist. Return the conditions for further study and stop.
Obviously there is a combinatoric explosion here. I was wondering what is known about efficiently finding conjectures like this and whether or not anyone was having success doing it with souffle.
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I don't doubt there have been advances at conjecture generation, but not being very familiar with the field I need to ask.
Specifically, I've been using souffle to manage a knowledge-base of facts about objects in the category of rings (https://ringtheory.herokuapp.com/). Each object either has or lacks certain conditions. There is a file of stored clauses that I run against this to deduce as much as possible.
Given some collection of conditions, I would like to do this:
Obviously there is a combinatoric explosion here. I was wondering what is known about efficiently finding conjectures like this and whether or not anyone was having success doing it with souffle.
Thanks!
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