Syntactic approach to the deadlock detection problem

J.R. Gonzalez de Mendivil, J. R. Garitagoitia
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Abstract

A method for solving the deadlock detection problem in operating systems with single unit resources is introduced by using the formalism of the automata and languages theory. The waiting relations between processes are represented in a wait-string. The study of the properties of wait-strings which contain deadlocked processes allows a solution to be obtained for the deadlock detection problem in the form of a finite automation (FA). The designed FA, which accepts the wait-strings with deadlock, acts as a deadlock detection algorithm. Its performance is proved. The design method of the FA is itself a detection algorithm based on the same principles. Therefore its formal proof is also valid, and can be used when strong memory requirements are imposed.<>
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死锁检测问题的语法方法
利用自动机的形式化理论和语言理论,提出了一种解决单单元资源操作系统死锁检测问题的方法。进程之间的等待关系用等待字符串表示。通过对包含死锁进程的等待字符串的性质的研究,可以得到以有限自动化(FA)形式的死锁检测问题的解决方案。设计的FA作为死锁检测算法,接受带有死锁的等待字符串。验证了其性能。FA的设计方法本身就是一种基于相同原理的检测算法。因此,它的形式证明也是有效的,并且可以在施加强内存要求时使用。
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