Abstract
This paper proposes a method for formal real-time systems development: Requirements and high level design decisions are time interval properties and are therefore specified in the Duration Calculus (DC), while implementations are described by timed transition systems (TTS). A link from implementation properties to the requirement and design properties is given by interpreting a DC formula in a model of the executions of a TTS and then providing rules for lifting properties proved by structural induction for a TTS to DC formulas. The method is illustrated by the Gas Burner case study.
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