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pith:2026:RXAS6DMQOTQGDYXDK4ACVYBZP2
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String Solving with Stabilization and Transducers (Technical Report)

David Chocholat\'y, Juraj S\'i\v{c}, Luk\'a\v{s} Hol\'ik, Michal \v{S}ed\'y, Ond\v{r}ej Leng\'al, Vojt\v{e}ch Havlena

Generalizing stabilization to transducers handles relational string constraints efficiently by reducing costly length operations.

arxiv:2605.14872 v1 · 2026-05-14 · cs.FL · cs.LO

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4 Citations open
5 Replications open
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Claims

C1strongest claim

Implemented on top of Z3-Noodler, our method vastly outperforms existing solvers on benchmarks with relational constraints. It solves more instances and runs orders of magnitude faster.

C2weakest assumption

That the transducer encoding and length-constraint reductions preserve soundness and completeness while the new heuristics do not miss solutions on realistic inputs.

C3one line summary

Generalization of Z3-Noodler's stabilization method to transducers enables efficient solving of relational string constraints and outperforms prior solvers by solving more instances orders of magnitude faster.

References

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[1] SMT-COMP QF Strings, 2024 (2024),https://smt-comp.github.io/2024/ results/qf_strings-single-query/,https://smt-comp.github.io/2024/ results/qf_strings-single-query/ 2024
[2] SMT-COMP QF Strings, 2025 (2025),https://smt-comp.github.io/2025/ results/qf_slia-single-query/,https://smt-comp.github.io/2025/ results/qf_slia-single-query/ 2025
[3] In: Co- hen, A., Vechev, M.T 2017 · doi:10.1145/3062341.3062384
[4] In: Biere, A., Bloem, R 2014
[5] Springer (2014).https://doi.org/10.1007/978-3-319-08867-9_10,https: //doi.org/10.1007/978-3-319-08867-9_10 2014 · doi:10.1007/978-3-319-08867-9_10

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Receipt and verification
First computed 2026-05-17T23:38:56.128972Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8dc12f0d9074e061e2e357002ae0397e9eb8a094fd3240d9be7eebdd38d5d63c

Aliases

arxiv: 2605.14872 · arxiv_version: 2605.14872v1 · doi: 10.48550/arxiv.2605.14872 · pith_short_12: RXAS6DMQOTQG · pith_short_16: RXAS6DMQOTQGDYXD · pith_short_8: RXAS6DMQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RXAS6DMQOTQGDYXDK4ACVYBZP2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8dc12f0d9074e061e2e357002ae0397e9eb8a094fd3240d9be7eebdd38d5d63c
Canonical record JSON
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    "submitted_at": "2026-05-14T14:18:40Z",
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