Concept

Infinite-valued logic

Related publications (28)

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

Giovanni De Micheli, Alessandro Tempia Calvino, Heinz Riener, Shubham Rai, 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, Shubham Rai, 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 ...

2021

SAT-Sweeping Enhanced for Logic Synthesis

Giovanni De Micheli, Luca Gaetano Amarù, Eleonora Testa

SAT-sweeping is a powerful method for simplifying logic networks. It consists of merging gates that are proven equivalent (up to complementation) by running simulation and SAT solving in synergy. SAT-sweeping is used in both verification and synthesis appl ...

IEEE2020

SAT-Sweeping Enhanced for Logic Synthesis

Giovanni De Micheli, Luca Gaetano Amarù, Eleonora Testa

IEEE2020

SAT-Based Exact Synthesis: Encodings, Topology Families, and Parallelism

Giovanni De Micheli, Mathias Soeken, Winston Jason Haaswijk

Exact synthesis is a versatile logic synthesis technique with applications to logic optimization, technology mapping, synthesis for emerging technologies, and cryptography. In recent years, advances in SAT solving have lead to a heightened research effort ...

2020

Logic Optimization of Majority-Inverter Graphs

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

SAT Based Exact Synthesis using DAG Topology Families

Giovanni De Micheli, Mathias Soeken, Winston Jason Haaswijk

SAT based exact synthesis is a powerful technique, with applications in logic optimization, technology mapping, and synthesis for emerging technologies. However, its runtime behavior can be unpredictable and slow. In this paper, we propose to add a new typ ...

IEEE2018

Exact Synthesis for Logic Synthesis Applications with Complex Constraints

Giovanni De Micheli, Mathias Soeken, Eleonora Testa, Odysseas Zografos

Exact synthesis is the problem of finding logic networks that represent given Boolean functions and respect given constraints. With exact synthesis it is possible to find optimum networks, e.g., in size or depth; consequently, it primarily finds applicatio ...

2017

Majority-Inverter Graph: A New Paradigm for Logic Optimization

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

In this paper, we propose a paradigm shift in representing and optimizing logic by using only majority (MAJ) and inversion (INV) functions as basic operations. We represent logic functions by Majority-Inverter Graph (MIG): a directed acyclic graph c ...

Ieee-Inst Electrical Electronics Engineers Inc2016

Boolean logic optimization in majority-inverter graphs

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

We present a Boolean logic optimization framework based on Majority-Inverter Graph (MIG). An MIG is a directed acyclic graph consisting of three-input majority nodes and regular/complemented edges. Current MIG optimization is supported by a consistent alge ...

2016

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