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Access Hoare Logic

arXiv cs.CRby [Submitted on 3 Nov 2025 (v1), last revised 30 Mar 2026 (this version, v3)]April 1, 20261 min read1 views
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arXiv:2511.01754v3 Announce Type: replace-cross Abstract: Following Hoare's seminal invention, now called Hoare logic, to reason about correctness of computer programs, we advocate a related but fundamentally different approach to reason about access security of computer programs such as access control. We define the formalism, which we denote access Hoare logic, and present examples which demonstrate its usefulness and fundamental difference to Hoare logic. We prove soundness and completeness of access Hoare logic, and provide a link between access Hoare logic and standard Hoare logic. We also demonstrate a fundamental difference of access Hoare logic to other approaches, in particular incorrectness logic.

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Abstract:Following Hoare's seminal invention, now called Hoare logic, to reason about correctness of computer programs, we advocate a related but fundamentally different approach to reason about access security of computer programs such as access control. We define the formalism, which we denote access Hoare logic, and present examples which demonstrate its usefulness and fundamental difference to Hoare logic. We prove soundness and completeness of access Hoare logic, and provide a link between access Hoare logic and standard Hoare logic. We also demonstrate a fundamental difference of access Hoare logic to other approaches, in particular incorrectness logic.

Subjects:

Logic in Computer Science (cs.LO); Cryptography and Security (cs.CR); Symbolic Computation (cs.SC)

Cite as: arXiv:2511.01754 [cs.LO]

(or arXiv:2511.01754v3 [cs.LO] for this version)

https://doi.org/10.48550/arXiv.2511.01754

arXiv-issued DOI via DataCite

Submission history

From: Arnold Beckmann [view email] [v1] Mon, 3 Nov 2025 17:04:49 UTC (48 KB) [v2] Wed, 5 Nov 2025 22:48:05 UTC (72 KB) [v3] Mon, 30 Mar 2026 22:00:29 UTC (33 KB)

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