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the claim

Structured proofs are formally published and utilized in computer science and mathematical logic.

the verdict
SUPPORTED
the evidence backs this
Recorded sources
6 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that structured proofs are formally published and utilized in computer science and mathematical logic?

Yes. Structured proofs and formal verification methods are widely published and utilized across computer science and mathematical logic to guarantee correctness in software, hardware, and theoretical mathematics.

Verdict: SUPPORTED · 6 sources for, 0 against · Last checked

The analysis

The retrieved papers extensively document the publication and utilization of structured, mechanized, and formally verified proofs in computer science and mathematical logic (e.g., theorem provers, proof assistants, and formal mathematical reasoning environments).

Evidence for · 6
Peano: learning formal mathematical reasoning.
2023
Peano explores computational foundations for formal mathematical reasoning and automated theorem-proving environments.
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G, P. & ND, G. (2023). Peano: learning formal mathematical reasoning.. doi.org. https://doi.org/10.1098/rsta.2022.0044

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More for · 5
Formal reasoning about systems biology using theorem proving.
2017
Formal reasoning in systems biology uses theorem proving and higher-order logic to formally verify biological network models.
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A, R., O, H., U, S., & S, T. (2017). Formal reasoning about systems biology using theorem proving.. doi.org. https://doi.org/10.1371/journal.pone.0180179

A formally certified end-to-end implementation of Shor's factorization algorithm.
2023
Formal methods and proof assistants are utilized to write mathematical specifications and certify correctness in quantum computing implementations.
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Y, P., K, H., R, T., L, L., R, R., M, H., & X, W. (2023). A formally certified end-to-end implementation of Shor's factorization algorithm.. doi.org. https://doi.org/10.1073/pnas.2218775120

Computational logic: its origins and applications.
2018
Computational logic uses computers to establish facts in a formal system, verifying hardware, software, and mathematical theorems.
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LC, P. (2018). Computational logic: its origins and applications.. doi.org. https://doi.org/10.1098/rspa.2017.0872

Tactics for mechanized reasoning: a commentary on Milner (1984) 'The use of machines to assist in rigorous proof'.
2015
Mechanized reasoning and proof assistants rely on rigorous, machine-assisted proof construction.
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MJ, G. (2015). Tactics for mechanized reasoning: a commentary on Milner (1984) 'The use of machines to assist in rigorous proof'.. doi.org. https://doi.org/10.1098/rsta.2014.0234

Olympiad-level formal mathematical reasoning with reinforcement learning.
2026
Formal languages like Lean provide interactive environments for mathematical reasoning and rigorous proof.
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T, H., R, M., L, S., MZ, H., G, Ž., E, W., A, H., J, S., Y, S., H, M., O, B., T, Z., A, M., J, Y., I, B., B, I., V, V., L, Y., O, N., P, L., S, M., C, S., B, M., A, D., D, Z., F, P., Y, L., I, v. G., M, R., S, A., A, V., S, S., E, L., E, H., H, M., N, S., D, H., P, K., & D, S. (2026). Olympiad-level formal mathematical reasoning with reinforcement learning.. doi.org. https://doi.org/10.1038/s41586-025-09833-y

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What does the evidence say?

The retrieved papers extensively document the publication and utilization of structured, mechanized, and formally verified proofs in computer science and mathematical logic (e.g., theorem provers, proof assistants, and formal mathematical reasoning environments).

Receipt History
first checked04 Aug 2026
judged → SUPPORTED · 7904 Aug 2026
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