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<p>ASTRAL is a formal specification language for real-time systems. It is intended to support formal software development, and therefore has been formally defined. This paper focuses on how to formally prove the mathematical correctness of ASTRAL specifications. ASTRAL is provided with structuring mechanisms that allow one to build modularized specifications of complex systems with layering. In this paper, further details of the ASTRAL environment components and the critical requirements components, which were not fully developed in previous papers, are presented. Formal proofs in ASTRAL can be divided into two categories: interlevel proofs and intralevel proofs. The former deal with proving that the specification of level i+1 is consistent with the specification of level i, and the latter deal with proving that the specification of level i is consistent and satisfies the stated critical requirements. This paper concentrates on intralevel proofs.</p>
formal specification; real-time systems; finite state machines; program verification; specification languages; intralevel proof obligations; ASTRAL; formal specification language; real-time systems; formal software development; mathematical correctness; formal methods; formal specification; verification; timing requirements; formal proof; state machines; ASLAN; TRIO

D. Mandrioli, A. Coen-Porisini and R. Kemmerer, "A Formal Framework for ASTRAL Intralevel Proof Obligations," in IEEE Transactions on Software Engineering, vol. 20, no. , pp. 548-561, 1994.
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