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Narter, Yigit, Zhao, Emily, Incer, Inigo · Oct 27, 2026

Narter, Zhao and Incer present a framework for GR(1) contracts

Markdown · JSON · Original source

In their paper, Yigit Narter, Emily Zhao, and Inigo Incer present a framework for computing assume-guarantee contract operations when contracts use GR(1) modulo theory. These operations support compositional design: analyzing a complex system through contracts at its component interfaces. The authors identify two quantifier elimination problems for temporal formulas as the key challenge, and develop context-aided variable elimination procedures for GR(1)-modulo formulas. They report establishing soundness, characterizing subproblem-wise optimal solutions within an admissible class of formulas, and implementing the framework in Pacti. In an automated emergency-braking case study, the authors use the framework to compute system-level contracts and expose compatibility conditions arising from interactions between component specifications. Their synthetic-family experiments report that cost is governed by the number of eliminated variables and liveness conjuncts; comparison with exact automata-based elimination shows complementary scaling. Escape Meridian interpretation: this suggests the approach can help identify when component specifications fit together, though the abstract does not establish how it performs in deployed systems or other applications. How does the framework’s performance compare with exact automata-based elimination on systems beyond the reported synthetic and

Headline and summary by Escape Meridian, prepared by Luna from the attributed source. A source check is not independent confirmation of the source’s claims.

arXiv eess.SYArticle · arxiv.orgOpen original source

Original source

eess.SY · Article

Source details

Original source date: Oct 27, 2026 (2026-10-27).

Date basis: Date basis not provided.

Added to Escape Meridian: 2026-11-05T04:31:38.422Z. First observed: 2026-10-28T04:26:38.741Z. Retrieved: 2026-10-29T20:31:39.601Z.

Referenced by

Recorded citations and public file attachments. A reference alone does not establish agreement or influence.

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Reference data (JSON)

Limits

This reading is based on the abstract; it does not include the paper’s detailed methods, results, or definitions. The abstract reports one automated emergency-braking case study and experiments on synthetic families; it does not report deployment results or performance in other applications.

Open question

How does the framework’s performance compare with exact automata-based elimination on systems beyond the reported synthetic families and emergency-braking case study?

Source-stated

The authors develop theory and algorithms for computing assume-guarantee contract operations when contracts are expressed in GR(1) modulo theory.

This paper develops theory and algorithms to compute these operations when the contracts are expressed in the GR(1) modulo theory.

Source-stated

The authors identify two quantifier elimination problems for temporal formulas as the key challenge and develop context-aided variable elimination procedures.

The key challenge is the computation of two quantifier elimination problems for temporal formulas. We develop context-aided variable elimination procedures on GR(1)-modulo formulas

Source-stated

The authors report implementing their framework in Pacti and demonstrating it in an automated emergency-braking case study.

We implement the resulting framework in Pacti, automating compositional reasoning over GR(1) contracts. Finally, we demonstrate the framework on an automated emergency-braking case study

Source-stated

The case study computes system-level contracts and exposes compatibility conditions arising from interactions among component specifications.

where we compute system-level contracts and expose compatibility conditions arising from the interaction of component specifications.

Source-stated

The authors report that experiments on synthetic families show cost is governed by the number of eliminated variables and liveness conjuncts, with complementary scaling compared with exact automata-based elimination.

Experiments on synthetic families show that the cost is governed by the number of eliminated variables and liveness conjuncts, and a comparison with exact automata-based elimination shows complementary scaling.

Escape Meridian interpretation

The reported case study suggests the framework can help identify when component specifications fit together; the abstract does not establish performance in deployed systems or other applications.

expose compatibility conditions arising from the interaction of component specifications.

Source and contributor context

Narter, Yigit, Zhao, Emily, Incer, Inigo · Article author

These are credits stated by the source; they do not establish a profile match or authorship of every passage.

Source media

No suitable media was found by the supported page extraction.

Terms and references

Reference context selected by Escape Meridian; separate from source evidence. Entity mentions do not establish authorship, involvement or endorsement.

arXiv

arXiv is a research manuscript repository where authors share papers that may not yet have been peer reviewed.

Editorial provenance

Version 1. Publication ID: c0cc1236-eaa8-4a23-8fdd-a42853e2c4f4.

Prepared by gpt-6-luna; grounding review by gpt-6-luna.

Source check: uncertain by anthropic/claude-opus-5.5 on 2026-11-05T04:31:38.422Z. This checks fidelity to the source, not whether its claims are independently true.

Editorial selection: accept; reasons: material_development.

Observation: 81b2603aafecd6c9d5b26b64a07ddf478e4775ab9a669be00a73f6cd47de1376. Source text hash: 16d3d0ff8e32c6cb459ad7c8d33c664af3939ff47a2e699eaa4f47b55344af8a.

Revision and source-check history

Version 1 · 2026-11-05T04:31:38.422Z

Narter, Zhao and Incer present a framework for GR(1) contracts

In their paper, Yigit Narter, Emily Zhao, and Inigo Incer present a framework for computing assume-guarantee contract operations when contracts use GR(1) modulo theory. These operations support compositional design: analyzing a complex system through contracts at its component interfaces. The authors identify two quantifier elimination problems for temporal formulas as the key challenge, and develop context-aided variable elimination procedures for GR(1)-modulo formulas. They report establishing soundness, characterizing subproblem-wise optimal solutions within an admissible class of formulas, and implementing the framework in Pacti. In an automated emergency-braking case study, the authors use the framework to compute system-level contracts and expose compatibility conditions arising from interactions between component specifications. Their synthetic-family experiments report that cost is governed by the number of eliminated variables and liveness conjuncts; comparison with exact automata-based elimination shows complementary scaling. Escape Meridian interpretation: this suggests the approach can help identify when component specifications fit together, though the abstract does not establish how it performs in deployed systems or other applications. How does the framework’s performance compare with exact automata-based elimination on systems beyond the reported synthetic and

Original source

eess.SY · Article

Source details

Original source date: Oct 27, 2026 (2026-10-27).

Date basis: Date basis not provided.

Added to Escape Meridian: 2026-11-05T04:31:38.422Z. First observed: 2026-10-28T04:26:38.741Z. Retrieved: 2026-10-29T20:31:39.601Z.

Limits

This reading is based on the abstract; it does not include the paper’s detailed methods, results, or definitions. The abstract reports one automated emergency-braking case study and experiments on synthetic families; it does not report deployment results or performance in other applications.

Open question

How does the framework’s performance compare with exact automata-based elimination on systems beyond the reported synthetic families and emergency-braking case study?

Source-stated

The authors develop theory and algorithms for computing assume-guarantee contract operations when contracts are expressed in GR(1) modulo theory.

This paper develops theory and algorithms to compute these operations when the contracts are expressed in the GR(1) modulo theory.

Source-stated

The authors identify two quantifier elimination problems for temporal formulas as the key challenge and develop context-aided variable elimination procedures.

The key challenge is the computation of two quantifier elimination problems for temporal formulas. We develop context-aided variable elimination procedures on GR(1)-modulo formulas

Source-stated

The authors report implementing their framework in Pacti and demonstrating it in an automated emergency-braking case study.

We implement the resulting framework in Pacti, automating compositional reasoning over GR(1) contracts. Finally, we demonstrate the framework on an automated emergency-braking case study

Source-stated

The case study computes system-level contracts and exposes compatibility conditions arising from interactions among component specifications.

where we compute system-level contracts and expose compatibility conditions arising from the interaction of component specifications.

Source-stated

The authors report that experiments on synthetic families show cost is governed by the number of eliminated variables and liveness conjuncts, with complementary scaling compared with exact automata-based elimination.

Experiments on synthetic families show that the cost is governed by the number of eliminated variables and liveness conjuncts, and a comparison with exact automata-based elimination shows complementary scaling.

Escape Meridian interpretation

The reported case study suggests the framework can help identify when component specifications fit together; the abstract does not establish performance in deployed systems or other applications.

expose compatibility conditions arising from the interaction of component specifications.

Source and contributor context

Narter, Yigit, Zhao, Emily, Incer, Inigo · Article author

These are credits stated by the source; they do not establish a profile match or authorship of every passage.

Source media

No suitable media was found by the supported page extraction.

Terms and references

Reference context selected by Escape Meridian; separate from source evidence. Entity mentions do not establish authorship, involvement or endorsement.

arXiv

arXiv is a research manuscript repository where authors share papers that may not yet have been peer reviewed.

Editorial provenance

Version 1. Publication ID: c0cc1236-eaa8-4a23-8fdd-a42853e2c4f4.

Prepared by gpt-6-luna; grounding review by gpt-6-luna.

Source check: uncertain by anthropic/claude-opus-5.5 on 2026-11-05T04:31:38.422Z. This checks fidelity to the source, not whether its claims are independently true.

Editorial selection: accept; reasons: material_development.

Observation: 81b2603aafecd6c9d5b26b64a07ddf478e4775ab9a669be00a73f6cd47de1376. Source text hash: 16d3d0ff8e32c6cb459ad7c8d33c664af3939ff47a2e699eaa4f47b55344af8a.

uncertain · 2026-11-05T04:31:38.422Z · anthropic/claude-opus-5.5

Publication: c0cc1236-eaa8-4a23-8fdd-a42853e2c4f4

attribution — pass: The reading correctly credits Yigit Narter, Emily Zhao and Inigo Incer, and it keeps the paper's results framed as the authors' reported claims.

Authors:Yigit Narter, Emily Zhao, Inigo Incer

summary — uncertain: The summary ends with a truncated, dangling fragment: 'How does the framework's performance compare ... synthetic and'. Smallest repair: delete it, since the question field already covers it. Central terms are also left unexplained for general readers: GR(1) modulo theory, quantifier elimination, liveness conjuncts, and Pacti (presumably a software tool). Without these, a non-specialist cannot grasp what the development is. Smallest repair: add term-library tooltips for each, keeping the terms exact. The question is substantive and follows from the evidence.

date — pass: The originalPublished date of 2026-10-27 matches the v1 submission date on the arXiv page. The feed date of 2026-10-28 is later and was correctly not used.

[v1] Tue, 27 Oct 2026 16:53:25 UTC (539 KB)

support — pass: All source-stated claims match the abstract verbatim. The interpretation that the approach can help identify when component specifications fit together is labeled as Escape Meridian interpretation. It is supported by the compatibility-conditions excerpt and explicitly preserves the gap regarding deployed systems. There are no invented benefits or stakeholders.

expose compatibility conditions arising from the interaction of component specifications.

media — pass: The selected media is the verified direct arXiv abstract link for this paper, which is the most direct access to the source.

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