A theory for execution-time derivation in real-time programs
Lermer, Karl, Fidge, Colin J., & Hayes, Ian (2005) A theory for execution-time derivation in real-time programs. Theoretical Computer Science, 346(1), pp. 3-27.
We provide an abstract command language for real-time programs and outline how a partial correctness semantics can be used to compute execution times. The notions of a timed command, refinement of a timed command, the command traversal condition, and the worst-case and best-case execution time of a command are formally introduced and investigated with the help of an underlying weakest liberal precondition semantics. The central result is a theory for the computation of worst-case and best-case execution times from the underlying semantics based on supremum and infimum calculations. The framework is applied to the analysis of a message transmitter program and its implementation.
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|Item Type:||Journal Article|
|Keywords:||Real, time programming, Control, flow analysis, Execution, time derivation and prediction, Predicate transformer semantics, Partial correctness|
|Subjects:||Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > COMPUTATION THEORY AND MATHEMATICS (080200) > Computation Theory and Mathematics not elsewhere classified (080299)|
Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > COMPUTER SOFTWARE (080300) > Computer Software not elsewhere classified (080399)
|Divisions:||Past > Schools > Computer Science|
Past > QUT Faculties & Divisions > Faculty of Science and Technology
|Copyright Owner:||Copyright 2005 Elsevier|
|Copyright Statement:||Reproduced in accordance with the copyright policy of the publisher.|
|Deposited On:||30 Mar 2006|
|Last Modified:||29 Feb 2012 23:11|
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