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Article . 2026
License: CC BY
Data sources: Datacite
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Article . 2026
License: CC BY
Data sources: Datacite
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Article . 2026
License: CC BY
Data sources: Datacite
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Article . 2025
License: CC BY NC SA
Data sources: Datacite
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Article . 2026
License: CC BY
Data sources: Datacite
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FastLEC: Parallel Datapath Equivalence Checking with Hybrid Engines

Authors: Zhang, Xindi; Ye, Furong; Chen, Zhihan; Cai, Shaowei;

FastLEC: Parallel Datapath Equivalence Checking with Hybrid Engines

Abstract

Combinational equivalence checking (CEC) remains a challenge EDA task in the formal verification of datapath circuits due to their complex arithmetic structures and the limited capability or scalability of SAT, BDD, and exact-simulation (ES) based techniques when used independently. This work presents FastLEC, a hybrid prover that unifies these three formal reasoning engines and introduces three strategies that substantially enhance verification efficiency. First, a regression-based engine-scheduling heuristic predicts solver effectiveness, enabling more accurate and balanced allocation of computational resources. Second, datapath-structure-aware partitioning strategies, along with a dynamic divide-and-conquer SAT prover, exploit the regularity of arithmetic designs while preserving completeness. Third, the memory overhead of ES is significantly reduced through address-reference-count tracking, and simulation is further accelerated through a GPU-enabled backend. FastLEC is evaluated across 368 datapath circuits. Using 32 CPU cores, it proves 5.07x more circuits than the widely used ABC &cec tool. Compared with the latest best datapath-oriented serial and parallel CEC provers, FastLEC outperforms them by 3.33x and 2.67x in PAR-2 time, demonstrating an improvement of 74 newly solved circuits. With the addition of a single GPU, it achieves a further 4.07x improvement. The prover also demonstrates excellent scalability.

Keywords

FOS: Computer and information sciences, Logic in Computer Science, F.4.1; F.3.1; B.6.3; I.2.2; I.2.8; D.2.4, Logic in Computer Science (cs.LO)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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