Hi Jon,

you've come to the right place, yes we are super psyched about combining AI and ATP, even though it's been underexplored in the context of OpenCog, we've only scratched the surface! Personally the furthest I've gone is proving some trivial SUMO theorems, see https://github.com/opencog/pln/tree/master/examples/pln/sumo. Beside that we've (me with Ben's input) done some really cool experiments on inference control meta-reasoning, basically using reasoning (or rather an efficient specialized form thereof tailored for pattern mining) to speed up reasoning! See https://github.com/opencog/pln/tree/master/examples/pln/inference-control-meta-learning.


On 1/6/21 1:47 PM, Jon P wrote:

Fifthly I am then quite excited in the abstract about where this system is headed. For example an AI which can formally reason about code it is writing and can prove mathematical statements could be very powerful. I think there is some nice approach to the control problem here, something like "new code can only be run if it is proven to obey the same constraints that currently running code is bound by." This maybe creates a way of limiting what an AI can do no matter how clever it becomes.


If you don't know the Goedel Machine yet I think you'll quite like it


http://people.idsia.ch/~juergen/goedelmachine.html


Needless to say OpenCog incorporates principles of the Goedel Machine, in fact the first time I read and understood OpenCog's design I exclaimed to Ben "[OpenCog] is a workable Goedel Machine!!!".


Nil


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