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A new metric for evaluating the performance and complexity of computer programs: A new approach to the traditional ways of measuring the complexity of algorithms and estimating running times

Published: November 1, 2025 | arXiv ID: 2511.00589v1

By: Rares Folea, Emil-Ioan Slusanschi

Potential Business Impact:

Helps computers understand programs better.

Business Areas:
Simulation Software

This paper presents a refined complexity calculus model: r-Complexity, a new asymptotic notation that offers better complexity feedback for similar programs than the traditional Bachmann-Landau notation, providing subtle insights even for algorithms that are part of the same conventional complexity class. The architecture-dependent metric represents an enhancement that provides better sensitivity with respect to discrete analysis.

Country of Origin
🇷🇴 Romania

Page Count
8 pages

Category
Computer Science:
Computational Complexity