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language [Barnes, 2003] Escher Technologies (http://wwweschertechcom) has its own programming language that can be compiled into C++ or Java Numerous university research projects exist in both the program veri cation and property checking realm; we discuss many of them in 4 Polyspace (http://wwwpolyspacecom) and Grammatech (http://wwwgramatechcom) both sell property checking tools
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Formal verification, wherein a tool applies a rigorous mathematical approach to its verification task, has a long and storied history One of the best-known calls for the application of formal methods for the purposes of verifying security properties of system designs was included as part of the Trusted Computer System Evaluation Criteria (TCSEC), more often known by its colloquial name the Orange Book [DOD, 1985] The Orange Book was written to guide developers in the creation of secure systems for sale to the US government and military The TCSEC is no longer in use, but many of the concepts it contained formed the basis for the Common Criteria (ISO/IEC standard 15408), a system for specifying and measuring security requirements The Common Criteria are primarily used by government and military agencies in the United States and Europe The Orange Book outlines a hierarchy of security features and assurances along with a quali cation process for certifying a product at a particular ranking The TCSEC covers a wide variety of subjects, including mechanisms that should be used to protect information in the system (access controls), identi cation and authentication of users, audit features, system speci cation, architecture, test and veri cation methods, covert channel analysis, documentation requirements, trusted product-delivery systems, and many others The TCSEC does not mandate the use of formal methods for any level of certi cation except the highest one: A1 A1 certi cation requires a formal demonstration that the system design meets the requirements of the security policy Formally demonstrating that the design has been implemented without error was not required A1 certi cation entailed rigorously de ning a system s security policy and formally demonstrating that the system design enforces the policy By the few who attempted it, this was always achieved by hierarchically decomposing the design, showing that the highest level of abstraction meets the requirements of the security policy and that each lower level of abstraction meets the requirements speci ed by the next higher level
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2 Introduction to Static Analysis
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Bug Finding The purpose of a bug nding tool is not to complain about formatting issues, like a style checker, nor is it to perform a complete and exhaustive comparison of the program against a speci cation, as a program veri cation tool would Instead, a bug nder simply points out places where the program will behave in a way that the programmer did not intend Most bug nders are easy to use because they come prestocked with a set of bug idioms (rules) that describe patterns in code that often indicate bugs Example 29 demonstrates one such idiom, known as double-checked locking The purpose of the code is to allocate at most one object while minimizing the number of times any thread needs to enter the synchronized block Although it might look good, before Java 15, it does not work earlier Java versions did not guarantee that only one object would be allocated [Bacon, 2007] Example 210 shows how the open source tool FindBugs (http://www ndbugsorg) identi es the problem [Hovemeyer and Pugh, 2004]
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Example 29 Double-checked locking The purpose is to minimize synchronization while guaranteeing that only one object will ever be allocated, but the idiom does not work
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1 if (thisfitz == null) { 2 synchronized (this) { 3 if (thisfitz == null) { 4 thisfitz = new Fitzer(); 5 } 6 } 7 }
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