And while we generally know more about arithmetic circuits, their power is far from understood, and in particular, the arithmetic analog VP vs. VNP of the Boolean P vs. NP problem as formulated by ...

This paper presents a novel diagnosis and logic debugging method for gate-level arithmetic circuits. It detects logic bugs in a synthesized circuit caused by using a wrong gate ("gate replacement" ...

Thus understanding arithmetic circuits could be a first step toward understanding Boolean circuits. Arithmetic circuits also have a lot of structure which, sometimes, have no analogs in the Boolean ...

[3] Efficient Formal Verification of Galois-Field Arithmetic Circuits Using ZDD Representation of Boolean Polynomials. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems ...

In transformer-based language models, a circuit is a subset of model components (MLPs and attention heads) that execute specific tasks, such as arithmetic. Researchers analyzed the arithmetic circuits ...

This paper presents a novel diagnosis and logic debugging method for gate-level arithmetic circuits. It detects logic bugs in a synthesized circuit caused by using a wrong gate ("gate replacement" ...