Understanding the Limitations of Software Testing: The Mathematics of Verification

This excerpt from Elektor Engineering Insights #54 examines the reasons why conventional software testing cannot ensure 100% reliability, alongside an analysis of formal verification methods.

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In this snippet from Elektor Engineering Insights #54, we explore why traditional software testing can never guarantee 100% reliability and how formal verification provides mathematical certainty that testing simply cannot achieve. Quentin Ochem from AdaCore explains the fundamental limitation of testing - even a simple function with two integers would require an astronomically large number of test cases to verify exhaustively - and how formal verification tools such as Spark use mathematical proofs to demonstrate software correctness across ALL possible execution paths with 100% certainty, which is especially critical for security applications where attackers only need to find one exploit in millions of lines of code. Watch the full interview here: https://www.youtube.com/watch?v=MnZM_ZxAWi0 Check out our YouTube offers: https://elektor.com/youtube Subscribe to our Newsletter: https://elektormagazine.com/elektor-newsletter Join this channel to get access to perks: https://youtube.com/channel/UChtg0Ek8OFg-tn_Vttd3STw/join #Ada #Rust #Spark #AdaCore

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81.4K

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16

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3:18

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Published
Aug 15, 2025

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