English

The Computational Complexity of Finding Arithmetic Expressions With and Without Parentheses

Computational Complexity 2022-01-31 v2

Abstract

We show NP-completeness for various problems about the existence of arithmetic expression trees. When given a set of operations, inputs, and a target value does there exist an expression tree with those inputs and operations that evaluates to the target? We consider the variations where the structure of the tree is also given and the variation where no parentheses are allowed in the expression.

Keywords

Cite

@article{arxiv.2110.14045,
  title  = {The Computational Complexity of Finding Arithmetic Expressions With and Without Parentheses},
  author = {Jayson Lynch and Yan and Weng},
  journal= {arXiv preprint arXiv:2110.14045},
  year   = {2022}
}

Comments

15 pages, 1 figure, writing and presentation edited

R2 v1 2026-06-24T07:12:57.911Z