arXiv Open Access 2023

A note on the complexity of addition

Emil Jeřábek
Lihat Sumber

Abstrak

We show that the sum of a sequence of integers can be computed in linear time on a Turing machine. In particular, the most obvious algorithm for this problem, which appears to require quadratic time due to carry propagation, actually runs in linear time by amortized analysis.

Topik & Kata Kunci

Penulis (1)

E

Emil Jeřábek

Format Sitasi

Jeřábek, E. (2023). A note on the complexity of addition. https://arxiv.org/abs/2306.08513

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2023
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓