Graded Symbolic Verification with a Fuzzy Dolev-Yao Attacker Model

Fuente: arXiv
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Main Author: Moran, Murat
Format: Preprint
Published: 2026
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author Moran, Murat
author_facet Moran, Murat
contents Classical symbolic protocol verification under Dolev--Yao uses binary attacker knowledge (known/unknown). This abstraction misses cumulative side-channel settings, where repeated noisy observations progressively improve attacker knowledge. We model this process with a graded attacker view \(μ_K\in[0,1]\), product T-norm leak updates, and finite-grid explicit-state execution in Modified Murphi. The method is optimised with exact concept-lattice attribute reducts and exposes threshold-driven safe-to-fail transitions that are not represented in corresponding binary runs under the same bounded assumptions. Executed results on symmetric and asymmetric protocols, including Needham--Schroeder--Lowe (NSL), show that baseline models passing under crisp semantics can fail once cumulative side-channel leakage is enabled.
format Preprint
id arxiv_https___arxiv_org_abs_2604_15402
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Graded Symbolic Verification with a Fuzzy Dolev-Yao Attacker Model
Moran, Murat
Cryptography and Security
Formal Languages and Automata Theory
Logic in Computer Science
Symbolic Computation
Classical symbolic protocol verification under Dolev--Yao uses binary attacker knowledge (known/unknown). This abstraction misses cumulative side-channel settings, where repeated noisy observations progressively improve attacker knowledge. We model this process with a graded attacker view \(μ_K\in[0,1]\), product T-norm leak updates, and finite-grid explicit-state execution in Modified Murphi. The method is optimised with exact concept-lattice attribute reducts and exposes threshold-driven safe-to-fail transitions that are not represented in corresponding binary runs under the same bounded assumptions. Executed results on symmetric and asymmetric protocols, including Needham--Schroeder--Lowe (NSL), show that baseline models passing under crisp semantics can fail once cumulative side-channel leakage is enabled.
title Graded Symbolic Verification with a Fuzzy Dolev-Yao Attacker Model
topic Cryptography and Security
Formal Languages and Automata Theory
Logic in Computer Science
Symbolic Computation
url https://arxiv.org/abs/2604.15402