Next-token prediction is modeled as modus ponens in intuitionistic implicational logic, leading to the Arrow model, a recurrent architecture equivalent in spirit to known multiplicative RNNs.
In: Proceedings of the 28th International Conference on Machine Learning (ICML) , pp
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On the (Intuitionistic) Logic of Next-Token Prediction
Next-token prediction is modeled as modus ponens in intuitionistic implicational logic, leading to the Arrow model, a recurrent architecture equivalent in spirit to known multiplicative RNNs.