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It is an open problem, suggested by Papert and McNaughton, to find a decision procedure for determining whether a regular event is locally testable. In this paper we provide a partial solution, giving two effectively decidable conditions, one necessary and one sufficient, for local testability. Our proofs are for the most part algebraic, using machine decompositions and semigroup theory.
The "deadlock" problem is a logical problem which may occur in a system in which resources are shared among users. Deadlock is a situation in which two or more jobs cannot be completed because of conflicting resource requirements. In this paper we assume that advance information about future resource requirements of jobs is available. In particular, we assume that jobs are represented as...
We consider a class of straight line programs admitting structured variables. It is easy to associate with each program a set of expressions which reflects the natural meaning of a structured variable such as an array. However, the question of whether two such expressions are equivalent depends on what is assumed about the possible initial values of the variables and what algebraic laws are assumed...
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