On discretization of delays in timed automata and digital circuits
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Abstract
In this paper we solve the following problem: "given a digital circuit composed of gates whose real-valued delays are in an integer-bounded interval, is there a way to discretize time while preserving the qualitative behavior of the circuit?" This problem is described as open in [BS94]. When "preservation of qualitative behavior" is interpreted in a strict sense, as having all original sequences of events with their original ordering we obtain the following two results: Nevertheless we show that a weaker notion of preservation, similar to that of [HMP92], allows in many cases to verify discretized circuits with δ=1 such that the verification results are valid in dense time.
