This note modifies the reference encoding of Turing machines in the $\lambda$-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.
- Pub Date:
- January 2023
- Computer Science - Logic in Computer Science;
- Computer Science - Programming Languages
- arXiv admin note: substantial text overlap with arXiv:2203.00362