Abstract: We present the formalization and the automated verification of the list sorting algorithms Insert-Sort and Merge-Sort in the Coq system and we compare it with the formalization and ...

middle_length = len(arr) // 2 # Finds the middle of the array ...

Abstract: Arrangement of elements in a dataset often forms a crucial aspect in determining the overall performance of the underlying algorithms. Elements arranged in sorted order, either ascending or ...

Python, a versatile programming language, offers many tools to manipulate data structures efficiently. One such powerful tool is the filter() function, which allows you to filter elements from an ...

Kurzweil’s Singularity is somewhat hard to pin down by design, its name stolen from the spookiest frontiers of knowledge. In mathematics, it refers to when the model falls apart; in astrophysics, it ...

This study explores the application of parallel algorithms to enhance large-scale sorting, focusing on the QuickSort method. Implemented in both sequential and parallel forms, the paper provides a ...