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Summary: Semantics and Verification of Software
Lecture 6: Denotational Semantics of WHILE I
(Fixpoint Semantics of while Loop)
Thomas Noll
Lehrstuhl f¨ur Informatik 2
(Software Modeling and Verification)
RWTH Aachen University
noll@cs.rwth-aachen.de
http://www-i2.informatik.rwth-aachen.de/i2/svsw10/
Summer Semester 2010
Outline
1 Repetition: Operational and Denotational Semantics
2 Fixpoint Semantics of while Loop
3 Characterization of fix()
Semantics and Verification of Software Summer Semester 2010 2
Functional of the Operational Semantics
The determinism of the execution relation (Theorem 3.4) justifies the
following definition:
Definition (Operational functional)
The functional of the operational semantics,
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