arXiv — NLP / Computation & Language · · 3 min read

ESBMC-PLC+: A Unified IEC~61131-3 Formal Verification Framework as a PLCverif Successor

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Computer Science > Programming Languages

arXiv:2606.23870 (cs)
[Submitted on 22 Jun 2026]

Title:ESBMC-PLC+: A Unified IEC~61131-3 Formal Verification Framework as a PLCverif Successor

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Abstract:PLCverif is the most mature open-source platform for PLC formal verification, developed at CERN and in production use since 2019. Yet it has two fundamental limitations: no support for Ladder Diagram (LD) programs, the dominant PLC notation, and reliance on CBMC as its primary backend, which restricts verification to bounded proofs. The PLCverif authors themselves identified ESBMC as the appropriate backend improvement. Prior work established ESBMC-PLC (a textual LD frontend with k-induction) and ESBMC-GraphPLC (graphical PLCopen XML support); together, they cover LD with unbounded proofs but not Structured Text (ST), and graphical LD with timer/counter function blocks remains unverifiable. This paper presents ESBMC-PLC+, a unified framework that closes both gaps: (1) an ST/SCL frontend via the MATIEC IEC 61131-3 compiler, routing C-compiled ST to ESBMC with nondeterministic input modeling and YAML property injection; (2) function block state semantics for graphical LD, extending the DFS resolver to model TON/TOF/TP timers, CTU/CTD counters, and R_TRIG/F_TRIG edge triggers as persistent scan-cycle state variables in the GOTO IR. ESBMC-PLC+ is the first open-source PLC verification framework to support all three major IEC 61131-3 input formats via a single ESBMC backend, enabling k-induction-unbounded safety proofs. A feature comparison with PLCverif and experimental evaluation on 8 benchmark programs, including programs with up to 8 integer timers, shows that ESBMC-PLC+ matches PLCverif's input coverage while providing stronger guarantees. Against nuXmv's BDD backend, ESBMC-PLC+ is 400-2,000x faster on timer programs and completes proofs where nuXmv BDD times out at 120s.
Comments: 21pages
Subjects: Programming Languages (cs.PL); Computation and Language (cs.CL); Software Engineering (cs.SE)
Cite as: arXiv:2606.23870 [cs.PL]
  (or arXiv:2606.23870v1 [cs.PL] for this version)
  https://doi.org/10.48550/arXiv.2606.23870
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Pierre Dantas [view email]
[v1] Mon, 22 Jun 2026 19:13:02 UTC (228 KB)
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