English

Typing a Core Binary Field Arithmetic in a Light Logic

Logic in Computer Science 2011-06-29 v1

Abstract

We design a library for binary field arithmetic and we supply a core API which is completely developed in DLAL, extended with a fix point formula. Since DLAL is a restriction of linear logic where only functional programs with polynomial evaluation cost can be typed, we obtain the core of a functional programming setting for binary field arithmetic with built-in polynomial complexity.

Keywords

Cite

@article{arxiv.1106.5622,
  title  = {Typing a Core Binary Field Arithmetic in a Light Logic},
  author = {Emanuele Cesena and Marco Pedicini and Luca Roversi},
  journal= {arXiv preprint arXiv:1106.5622},
  year   = {2011}
}
R2 v1 2026-06-21T18:28:33.892Z