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Concept

And-inverter graph

Related publications (10)

Scalable Logic Rewriting Using Don’t Cares

Giovanni De Micheli, Alessandro Tempia Calvino

Logic rewriting is a powerful optimization technique that replaces small sections of a Boolean network with better implementations. Typically, exact synthesis is used to compute optimum replacement on-the-fly, with possible support for Boolean don't cares. ...

2024

Improving Standard-Cell Design Flow using Factored Form Optimization

Giovanni De Micheli, Alessandro Tempia Calvino

Factored form is a powerful multi-level representation of a Boolean function that readily translates into an implementation of the function in CMOS technology. In particular, the number of literals in a factored form correlates strongly with the number of ...

IEEE2023

Utilizing XMG-based Synthesis to Preserve Self-Duality for RFET-Based Circuits

Giovanni De Micheli, Heinz Riener, Alessandro Tempia Calvino, Akash Kumar

Individual transistors based on emerging reconfigurable nanotechnologies exhibit electrical conduction for both types of charge carriers. These transistors (referred to as Reconfigurable Field-Effect Transistors (RFETs)) enable dynamic reconfiguration to d ...

2022

Preserving Self-Duality During Logic Synthesis for Emerging Reconfigurable Nanotechnologies

Giovanni De Micheli, Heinz Riener, Akash Kumar

Emerging reconfigurable nanotechnologies allow the implementation of self-dual functions with a fewer number of transistors as compared to traditional CMOS technologies. To achieve better area results for Reconfigurable Field-Effect Transistors (RFET)-base ...

IEEE2021

Logic Optimization of Majority-Inverter Graphs

Giovanni De Micheli, Mathias Soeken, Heinz Riener, Eleonora Testa, Luca Gaetano Amarù, Winston Jason Haaswijk

Majority-inverter graphs (MIGs) are a multi-level logic representation of Boolean functions with remarkable algebraic and Boolean properties that enable efficient logic optimizations beyond the capabilities of conventional logic representations. In this pa ...

VDE Verlag2019

Exact Synthesis of Majority-Inverter Graphs and Its Applications

Giovanni De Micheli, Pierre-Emmanuel Julien Marc Gaillardon, Mathias Soeken, Luca Gaetano Amarù

We propose effective algorithms for exact synthesis of Boolean logic networks using satisfiability modulo theories (SMT) solvers. Since exact synthesis is a difficult problem, it can only be applied efficiently to very small functions, having up to 6 varia ...

Ieee-Inst Electrical Electronics Engineers Inc2017

Improving Circuit Mapping Performance Through MIG-based Synthesis for Carry Chains

Giovanni De Micheli, Paolo Ienne, Pierre-Emmanuel Julien Marc Gaillardon, Mathias Soeken, Luca Gaetano Amarù, Xifan Tang, Grace Zgheib, Ana Petkovska

Hard-wired carry chains in FPGAs are designed to improve efficiency of important arithmetic primitives. Although they are proven to be effective for arithmetic-rich functions, there are very few studies on the optimization opportunities of carry chains for ...

ACM2017

Optimizing Majority-Inverter Graphs with Functional Hashing

Giovanni De Micheli, Pierre-Emmanuel Julien Marc Gaillardon, Mathias Soeken, Luca Gaetano Amarù

A Majority-Inverter Graph (MIG) is a recently introduced logic representation form whose algebraic and Boolean properties allow for efficient logic optimization. In particular, when considering logic depth reduction, MIG algorithms obtained signific ...

IEEE2016

Notes on Majority Boolean Algebra

Giovanni De Micheli, Pierre-Emmanuel Julien Marc Gaillardon, Mathias Soeken, Luca Gaetano Amarù

A Majority-Inverter Graph (MIG) is a homogeneous logic network, where each node represents the majority function. Recently, a logic optimization package based on the MIG data-structure, with 3-input majority node (M3) has been proposed [2], [30]. It is dem ...

IEEE2016

Majority-Inverter Graph: A Novel Data-Structure and Algorithms for Efficient Logic Optimization

Giovanni De Micheli, Pierre-Emmanuel Julien Marc Gaillardon, Luca Gaetano Amarù

In this paper, we present Majority-Inverter Graph (MIG), a novel logic representation structure for efficient optimization of Boolean functions. An MIG is a directed acyclic graph consisting of three-input majority nodes and regular/complemented e ...

2014