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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 …
Anupam Das's user avatar
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 …
Anupam Das's user avatar
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 …
Anupam Das's user avatar