Towards a Unified Theory of Operational and Axiomatic Semantics
Rosu, Grigore
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https://hdl.handle.net/2142/29946
Description
Title
Towards a Unified Theory of Operational and Axiomatic Semantics
Author(s)
Rosu, Grigore
Contributor(s)
Stefanescu, Andrei
Issue Date
2012-02-24
Keyword(s)
Operational semantics
Hoare logic
Partial correctness
Rewriting
Abstract
This paper presents a nine-rule *language-independent* proof system
that takes an operational semantics as axioms and derives program
properties, including ones corresponding to Hoare triples.
This eliminates the need for language-specific Hoare-style proof
rules in order to verify programs, and, implicitly, the tedious
step of proving such proof rules sound for each language separately.
The key proof rule is *Circularity*, which is coinductive in nature
and allows for reasoning about constructs with repetitive behaviors
(e.g., loops). The generic proof system is shown sound and has been
implemented in the MatchC program verifier.
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