Applications of Interactive Proof to Data Flow Analysis and Security

G. Klein, T. Nipkow
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引用次数: 1

Abstract

We show how to formalise a small imperative programming language in the theorem prover Isabelle/HOL, how to define its semantics, and how to prove properties about the language, its type systems, and a number of data flow analyses. The emphasis is not on formalising a complex language deeply, but to teach a number of formalisation techniques and proof strategies using simple examples. For this purpose, we cover a basic type system with type safety proof, more complex security type systems, also with soundness proofs, and different kinds of data flow analyses, in particular definite initialisation analysis and constant propagation, again with correctness proofs.
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交互式证明在数据流分析和安全中的应用
我们将展示如何在定理证明器Isabelle/HOL中形式化一种小型命令式编程语言,如何定义其语义,以及如何证明该语言、其类型系统和许多数据流分析的属性。本书的重点不在于深入形式化一门复杂的语言,而是通过简单的例子教授一些形式化技术和证明策略。为此,我们涵盖了一个基本的类型系统,包括类型安全证明,更复杂的安全类型系统,也包括可靠性证明,以及不同类型的数据流分析,特别是确定初始化分析和常数传播,再次包括正确性证明。
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