6533b82cfe1ef96bd128f3e4

RESEARCH PRODUCT

Non-intersecting Complexity

Aleksandrs Belovs

subject

PHCombinatoricsAverage-case complexityStructural complexity theoryAsymptotic computational complexityWorst-case complexityComplexity classDescriptive complexity theoryQuantum complexity theoryMathematics

description

A new complexity measure for Boolean functions is introduced in this article. It has a link to the query algorithms: it stands between both polynomial degree and non-deterministic complexity on one hand and still is a lower bound for deterministic complexity. Some inequalities and counterexamples are presented and usage in symmetrisation polynomials is considered.

https://doi.org/10.1007/11611257_13