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Computational and mathematical logic.
2
votes
Construct proof systems for common algorithmic task, like equivalence of regular expressions
Kaveh's response exemplifies well the Cook-Reckhow notion of an abstract proof system. Nonetheless, for comparison, I point to a recent preprint of mine and Damien Pous:
A cut-free cyclic proof syste …
3
votes
Boolean formula balancing in $\mathsf{AC^0}$
I stumbled upon this question now, many years later. In the interim the following paper has appeared:
https://dl.acm.org/doi/10.1145/3278158
https://arxiv.org/abs/1704.08705
There the authors do preci …
7
votes
Proof theory of biproducts?
I don't know much about category theory, but perhaps this will be helpful. The equations governing the graphical diagrams for biproduct categories [Selinger] are exactly equivalent to those for atomic …