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Failure Divergence Refinement for Event-B

delete2026-01-01
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PRE
AI
S
Sebastian Stock *
M
Michaël Leuschel
A
Atif Mashkoor
DOI:10.1007/978-3-031-98208-8_6delete
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Abstract

Abstract

En 中文
When validating formal models, sizable effort goes into ensuring two types of properties: safety properties (nothing bad happens) and liveness properties (something good occurs eventually. Event-B supports checking safety properties all through the refinement chain. The same is not valid for liveness properties. Liveness properties are commonly validated with additional techniques like animation, and results do not transfer quickly, leading to re-doing the validation process at every refinement stage. This paper promotes early validation by providing failure divergence refinement semantics for Event-B. We show that failure divergence refinement preserves trace properties, which comprise many liveness properties, under certain natural conditions. Consequently, revalidation of those properties becomes unnecessary. Our result benefits data refinements, where no abstract behavior should be removed during refinement. Furthermore, we lay out an algorithm and provide a tool for automatic failure divergence refinement checking, significantly decreasing the modeler's workload. The tool is compared and evaluated in the context of sizable case studies.
Keywords:
Refinement
Failure traces
Event-B
Divergence
Liveness

Journal

T
THEORETICAL ASPECTS OF SOFTWARE ENGINEERING, TASE 2025
IF:
0
Papers:
17
Citations:
0

Organization

J
johannes kepler university linz
Scholars:
809
Papers: 343
Citations: 0
H
heinrich heine university dusseldorf
Scholars:
857
Papers: 329
Citations: 0