AVERAGE CASE COMPLEXITY THEORY

Average case complexity is a branch of computational complexity theory that is focused on analyzing the average resource usage of computational problems over the distribution of inputs. In this research paper, we focus on Leonid Levin’s theory of average case complexity. This paper will investigate average case problems as distributional problems and attempt to produce an analogue of results in worst case complexity theory in the average case.

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Publication Details

Journal
Missouri Journal of Mathematical Sciences
Published
2025-05-01
DOI
https://doi.org/10.35834/2025/3701079
Primary Topic
Computability, Logic, AI Algorithms
Type
article
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article

AVERAGE CASE COMPLEXITY THEORY

Venkatesh Srinivasan
Missouri Journal of Mathematical Sciences
Computability, Logic, AI Algorithms
article

AVERAGE CASE COMPLEXITY THEORY

Venkatesh Srinivasan
article en

Abstract

Average case complexity is a branch of computational complexity theory that is focused on analyzing the average resource usage of computational problems over the distribution of inputs. In this research paper, we focus on Leonid Levin’s theory of average case complexity. This paper will investigate average case problems as distributional problems and attempt to produce an analogue of results in worst case complexity theory in the average case.

Missouri Journal of Mathematical SciencesVol. 37(1)
Openalex Percentile: Top 89%
Computability, Logic, AI Algorithms
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AVERAGE CASE COMPLEXITY THEORY — Venkatesh Srinivasan · Missouri Journal of Mathematical Sciences (2025) | TGRS Research Map | TGRS