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理性Dolev--Yao攻击者:战略逻辑下安全协议的可判定激励感知验证

Rational Dolev--Yao Attackers: Decidable Incentive-Aware Verification of Security Protocols in Strategic Logic

Ioana Boureanu, R. Ramanujam

arXiv 2608.22954首次发表:更新:

AI 中文总结

该研究提出理性Dolev--Yao攻击者模型,用加权交替时间时序逻辑验证协议理性安全性,证明其可判定性与复杂性,并通过认证支付和ThreeBallot案例展示其应用。

AI 中文摘要

符号协议验证将网络攻击者建模为Dolev--Yao(DY)入侵者,该入侵者会执行其知识允许的所有操作,无论是否有目的;而现实中的攻击者则会最大化效用,仅在收益为正时发动攻击。我们引入理性Dolev--Yao攻击者,即一种带有行动成本、安全违规目标带有奖励的DY入侵者,并将协议定义为理性安全的,当没有入侵者策略能在加权交替时间时序逻辑(WATL)的严格正效用下实现违规。我们证明,在有限成本标注并发游戏结构上,对于有界理性DY入侵者,该问题可判定,刻画了其复杂性,并表明其严格优于DY安全:一些协议是DY不安全的,但却是理性安全的,二者由可计算阈值分隔。我们在两个对比用例中说明该框架:会话不确定性下的认证支付,其中理性入侵者必须在无法区分的会话间制定策略,其不完备信息严格提高了设计者必须应对的攻击成本;以及ThreeBallot,一种无密码学的方案,我们确定了贿赂与收益的比率,低于该比率则无理性胁迫者发动攻击。

英文摘要

Symbolic protocol verification models the network attacker as a Dolev--Yao (DY) intruder, which does everything its knowledge permits, whether or not it serves any purpose; real adversaries instead maximise utility, attacking only when the payoff is positive. We introduce a rational Dolev--Yao attacker, a DY intruder whose actions carry costs and whose security-violating goals carry rewards, and call a protocol rationally secure when no intruder strategy achieves a violation with strictly positive utility, expressed in a weighted fragment of ATL (WATL). We prove this decidable for a bounded rational DY intruder over a finite cost-annotated concurrent game structure, characterise its complexity, and show it strictly refines DY security: some protocols are DY-insecure yet rationally secure, separated by a computable threshold. We illustrate the framework on two contrasting use-cases: an authenticated payment under session uncertainty, where a rational intruder must strategise across indistinguishable sessions and its imperfect information strictly raises the attack cost a designer must price against; and ThreeBallot, a cryptography-free scheme where we pinpoint the bribe-to-benefit ratio below which no rational coercer attacks.

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