From Hoare Logic to Matching Logic Reachability

Rosu, Grigore; Stefanescu, Andrei

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https://hdl.handle.net/2142/31335 Copy

Description

Title

From Hoare Logic to Matching Logic Reachability

Author(s)

• Rosu, Grigore
• Stefanescu, Andrei

Issue Date

2012-06

Keyword(s)

• Hoare logic
• Matching logic reachability
• Relative completeness
• Program verification

Abstract

Matching logic reachability has been recently proposed as an alternative program verification approach. Unlike Hoare logic, where one defines a language-specific proof system that needs to be proved sound for each language separately, matching logic reachability provides a *language-independent* and *sound* proof system that directly uses the trusted operational semantics of the language as axioms. Matching logic reachability thus has a clear practical advantage: it eliminates the need for an additional semantics of the same language in order to reason about programs, and implicitly eliminates the need for tedious soundness proofs. What is not clear, however, is whether matching logic reachability is as powerful as Hoare logic. This paper introduces a technique to mechanically translate Hoare logic proof derivations into equivalent matching logic reachability proof derivations. The presented technique has two consequences: first, it suggests that matching logic reachability has no theoretical limitation over Hoare logic; and second, it provides a new approach to prove Hoare logics sound.

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/31335

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