A Log-Sensitive Encoding of Turing Machines in the $\lambda$-Calculus
Logic in Computer Science
2023-01-31 v1 Programming Languages
Abstract
This note modifies the reference encoding of Turing machines in the -calculus by Dal Lago and Accattoli, which is tuned for time efficiency, as to accommodate logarithmic space. There are two main changes: Turing machines now have *two* tapes, an input tape and a work tape, and the input tape is encoded differently, because the reference encoding comes with a linear space overhead for managing tapes, which is excessive for studying logarithmic space.
Cite
@article{arxiv.2301.12556,
title = {A Log-Sensitive Encoding of Turing Machines in the $\lambda$-Calculus},
author = {Beniamino Accattoli and Ugo Dal Lago and Gabriele Vanoni},
journal= {arXiv preprint arXiv:2301.12556},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2203.00362