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Record W3112626473 · doi:10.1145/3400302.3415708

Word level property directed reachability

2020· article· en· W3112626473 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicFormal Methods in Verification
Canadian institutionsUniversity of Waterloo
Fundersnot available
KeywordsComputer scienceSatisfiability modulo theoriesReachabilityPredicate abstractionFormal verificationWord (group theory)Programming languageModel checkingTheoretical computer scienceFirmwareAlgorithmComputer hardwareMathematics

Abstract

fetched live from OpenAlex

Verification approaches based on constraint solvers are successfully applied in firmware and other low-level code that interfaces with hardware. While for proving safety of gate-level sequential circuits, it often suffices to bit-blast and reduce to SAT-based IC3 or Property Directed Reachability (IC3/PDR), for handling machine-level instructions that perform arithmetic and data manipulation operations, word-level reasoning should be conducted. However, because of poor support for interpolation and quantifier elimination in the theory of bit-vectors (BV), previous attempts to lift IC3/PDR to word level required integrating it into an external abstraction-refinement loop. Aiming to reach more scalable bit-precise verification, we propose to bring useful insights from PDR-based verification algorithms used in software. In particular, instead of using bit-blasting to eliminate quantifiers from BV-formulas, we present a less expensive method for iterative approximate quantifier elimination in BV. It naturally supports all bit-operators and can be optimized further by applying rules inspired by modular linear arithmetic. Finally, we leverage recent techniques on learning inductive invariants based on explicit global guidance, thus allowing the approach to bypass interpolation. Our implementation on top of Spacer, a PDR-based verifier shows that such a word-level PDR is promising and can be more effective than state-of-the-art.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.001
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Other design · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.926
Threshold uncertainty score0.192

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.156
GPT teacher head0.304
Teacher spread0.148 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Quick stats

Citations16
Published2020
Admission routes1
Has abstractyes

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