Polynomial formal verification: Ensuring correctness under resource constraints

R Drechsler, A Mahzoon - Proceedings of the 41st IEEE/ACM …, 2022 - dl.acm.org
Recently, a lot of effort has been put into develo** formal verification approaches by both
academic and industrial research. In practice, these techniques often give satisfying results …

RefSCAT: Formal Verification of Logic-Optimized Multipliers via Automated Reference Multiplier Generation and SCA-SAT Synergy

R Li, L Li, H Yu, M Fujita, W Jiang… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Formally verifying logic-optimized integer multipliers remains a crucial yet insufficiently
addressed problem in both industry and academia, presenting significant verification …

Divider verification using symbolic computer algebra and delayed don't care optimization: theory and practical implementation

A Konrad, C Scholl, A Mahzoon, D Große… - Formal Methods in …, 2024 - Springer
Recent methods based on Symbolic Computer Algebra (SCA) have shown great success in
formal verification of multipliers and—more recently—of dividers as well. In this paper we …

Extracting Linear Relations from Gr\" obner Bases for Formal Verification of And-Inverter Graphs

D Kaufmann, J Berthomieu - arxiv preprint arxiv:2411.16348, 2024 - arxiv.org
Formal verification techniques based on computer algebra have proven highly effective for
circuit verification. The circuit, given as an and-inverter graph, is encoded as a set of …

[PDF][PDF] Symbolic Computer Algebra for Multipliers Revisited-It's All About Orders and Phases

A Konrad, C Scholl - # …, 2024 - library.oapen.org
Using Symbolic Computer Algebra (SCA) enabled a huge progress in formal verification of
arithmetic circuits in recent years. Several different approaches have been proposed …

[BOOK][B] Formal Verification of Structurally Complex Multipliers

A Mahzoon, D Große, R Drechsler - 2023 - Springer
Back in 1970, an Intel 4004 processor had 2250 transistors. It could only support a limited
number of instructions, and it was working at a very low frequency. However, digital circuits …