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The amount of time resources (number of atomic operations or machine steps) required to solve a problem expressed in terms of input size. If your question concerns algorithm analysis, use the [runtime-analysis] tag instead. If your question concerns whether or not a computation will *ever* finish, use the [computability] tag instead. Time-complexity is perhaps the most important sub-topic of complexity theory.

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Is there an efficient algorithm for expression equivalence?

To follow up on the one-power, one-coefficent and one-constants constraints in the question: These define a subset the problem of polynomial identity testing. Clearly, they can be solved with a techn …
hyperpallium's user avatar
13 votes
2 answers
739 views

Is there an efficient algorithm for expression equivalence?

e.g. $xy+x+y=x+y(x+1)$ ? The expressions are from ordinary high-school algebra, but restricted to arithmetic addition and multiplication (e.g. $2+2=4; 2.3=6$), with no inverses, subtraction or divisi …
hyperpallium's user avatar
2 votes
1 answer
52 views

No common terms between polynomials: an efficient check?

The "common term" would be in standard form, but the two input multivariate polynomials needn't be, e.g $x(1+y)+y$ and $y(x+a+b)$ have one common term, $xy$. A brute force solution would be to expan …
hyperpallium's user avatar