Chomsky Normal Form
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Neuro-symbolic Syntactic Parsing: Shaping a Neural Network with the CYK Algorithm
Announce Type: new Abstract: In this paper, we show the possibility of a direct injection of algorithms into neural network architecture. We focus on a complex algorithm, that is, Cocke-Youger-Kasami (CYK) for parsing context-free grammars in Chomsky Normal Form and we propose CYKNN, a simple recurrent neural network architecture for encoding the CYK algorithm in trainable matrix-vector multiplications. We experimented with a very simple grammar with 4 variations showing that our approach...
On the complexity of computing Strahler numbers
arXiv:2512.19060v2 Announce Type: replace Abstract: It is shown that the problem of computing the Strahler number of a binary tree given as a term is complete for the circuit complexity class uniform $\mathsf{NC}^1$. For several variants, where the binary tree is given by a pointer structure or in a succinct form by a directed acyclic graph or a tree straight-line program, the complexity of computing the Strahler number is determined as well. We show that the problem of deciding whether a...