This is the repo for our work in ARITH 2025 entitled Rigorous Error Analysis for Logarithmic Number Systems by Thanh Son Nguyen (as part of his Ph.D. work at Utah), Dr. Alexey Solovyev, Ganesh Gopalakrishnan (Professor, and Thanh's official advisor), and Prof. Mark G. Arnold (an expert in LNS). Thanh and Ganesh sincerely thank Dr. Alexey Solovyev and Prof. Mark Arnold for their help at all junctures; this work would not have been possible without that.

All questions may kindly be directed to Prof. Ganesh Gopalakrishnan at ganesh@cs.utah.edu (website https://www.cs.utah.edu/~ganesh).

This repo contains all the supporting material for our paper.

This work was supported in part by NSF Awards 2403379 and 2346394 and Department of Energy, Office of Science, Office of Advanced Scientific Computing Research under award number DE-SC0024042.

For citing this work, please use

@inproceedings{nguyen2025rigorous,
  author    = {Thanh Nguyen and Alexey Solovyev and Ganesh Gopalakrishnan and Mark Arnold},
  title     = {Rigorous Error Analysis for Logarithmic Number Systems},
  booktitle = {Proceedings of the 32nd IEEE International Symposium on Computer Arithmetic (ARITH)},
  year      = {2025},
  address   = {El Paso, TX, USA},
  month     = {May}
}