3. Duration Calculus Page 1 3. Duration Calculus In this chapter we present the syntax,
semantics and proof system of duration calculus. In addition, we present some theorems …

The goal of the Provably Correct Systems project (ProCoS) is to develop a mathematical
basis for development of embedded, real-time, computer systems. This survey paper …

The art, craft, discipline, logic, practice, and science of develo** large-scale software
products needs a believable, professional base. The textbooks in this three-volume set …

TLA+ is a general purpose, formal specification language based on the Temporal Logic of
Actions, with no built-in primitives for specifying real-time properties. Here, we use TLA+ to …

Software for safety critical systems must deal with the hazards identified by safety analysis.
This paper investigates, how the results of one safety analysis technique, fault trees, are …

Duration Calculus is a real-time interval logic which can be used to specify and reason
about timing and logical constraints on discrete states in a dynamic system. It has been used …

Testing a software system is an important step approach to ensuring quality, safety, and
reliability in safety-critical systems (SCS). Several authors have published new approaches …

Abstract The Duration Calculus (abbreviated DC) represents a logical approach for formal
design of real-time systems, where real numbers are used to model time and Boolean …

Real-time systems need to react to certain input stimuli within given time bounds. For
example, an airbag in a car has to unfold within 300 milliseconds in a crash. There are many …

Duration calculus [5] extends interval temporal logic [6] with assertions about the duration of
states, without mention of absolute time. It is used for specification and verification of real …