解析问题的合理抽象

S. Mödersheim, Georgios Katsoris
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引用次数: 14

摘要

在形式化验证中,密码消息通常用代数项表示。这不仅是从真实密码学的复杂细节中抽象出来的,而且是从非密码学方面的细节中抽象出来的:消息的实际格式和结构。我们引入了一个新的代数模型来包含这些细节,并定义了一个小而简单的语言来精确地描述消息格式。我们支持固定长度字段、带偏移量的可变长度字段、标记和编码成较小的字母(如Base64),从而涵盖TLS中的经典格式和现代基于xml的格式。我们为协议套件中使用的一组格式定义了两个合理的属性。首先,每种格式都应该是非二义性的:任何字符串最多只能以一种方式解析。其次,格式应该是对不相交的:一个字符串最多只能被解析为其中一种格式。我们将展示如何轻松地为许多实用格式建立这些属性。通过将格式替换为自由函数符号,我们获得了一个与所有现有验证工具兼容的抽象模型。我们证明了抽象对于非二义性、不相交的格式是合理的:如果抽象消息模型中存在攻击,则具体消息模型中存在攻击。最后,我们介绍了TLS的一个实际案例研究的重点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Sound Abstraction of the Parsing Problem
In formal verification, cryptographic messages are often represented by algebraic terms. This abstracts not only from the intricate details of the real cryptography, but also from the details of the non-cryptographic aspects: the actual formatting and structuring of messages. We introduce a new algebraic model to include these details and define a small, simple language to precisely describe message formats. We support fixed-length fields, variable-length fields with offsets, tags, and encodings into smaller alphabets like Base64, thereby covering both classical formats as in TLS and modern XML-based formats. We define two reasonable properties for a set of formats used in a protocol suite. First, each format should be un-ambiguous: any string can be parsed in at most one way. Second, the formats should be pair wise disjoint: a string can be parsed as at most one of the formats. We show how to easily establish these properties for many practical formats. By replacing the formats with free function symbols we obtain an abstract model that is compatible with all existing verification tools. We prove that the abstraction is sound for un-ambiguous, disjoint formats: there is an attack in the concrete message model if there is one in the abstract message model. Finally we present highlights of a practical case study on TLS.
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