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Concept

Canonical normal form

Related publications (20)

Non-normal forms

Yves-Marie François Ducimetière

In this thesis, we propose to formally derive amplitude equations governing the weakly nonlinear evolution of non-normal dynamical systems, when they respond to harmonic or stochastic forcing, or to an initial condition. This approach reconciles the non-mo ...

EPFL2024

Technology Mapping Using Multi-output Library Cells

Giovanni De Micheli, Alessandro Tempia Calvino

Technology mapping transforms a technology-independent representation into a technology-dependent one given a library of cells. Even if technology libraries contain multi-output cells, state-of-the-art techniques fully exploit single-output cells only. Mul ...

2023

Equivalence Checking for Orthocomplemented Bisemilattices in Log-Linear Time

Viktor Kuncak, Simon Guilloud

We present a quasilinear time algorithm to decide the word problem on a natural algebraic structures we call orthocomplemented bisemilattices, a subtheory of boolean algebra. We use as a base a variation of Hopcroft, Ullman and Aho algorithm for tree isomo ...

Springer2022

Three-Input Gates for Logic Synthesis

Giovanni De Micheli, Mathias Soeken, Heinz Riener, Eleonora Testa, Dewmini Sudara Marakkalage

Most logic synthesis algorithms work on graph representations of logic functions with nodes associated with arbitrary logic expressions or simple logic functions and iteratively optimize such graphs. While recent multilevel logic synthesis efforts focused ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2021

Integrated ESOP Refactoring for Industrial Designs

Giovanni De Micheli, Mathias Soeken, Luca Gaetano Amarù, Winston Jason Haaswijk

We present a multi-level logic refactoring algorithm based on exclusive sum-of-product (ESOP) expressions. ESOP expressions are two-level logic representation forms, similar to sum of -product (SOP) expressions. However, ESOPs use EXOR instead of OR operat ...

IEEE2018

Majority Logic Synthesis

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

The majority function (xyz) evaluates to true, if at least two of its Boolean inputs evaluate to true. The majority function has frequently been studied as a central primitive in logic synthesis applications for many decades. Knuth refers to the majority f ...

ASSOC COMPUTING MACHINERY2018

Design of Approximate Circuits by Fabrication of False Timing Paths: The Carry Cut-Back Adder

Christian Enz, Vincent Frédéric Camus, Jérémy Lucien Maurice Schlachter, Mattia Cacciotti

This paper introduces a novel method for designing approximate circuits by fabricating and exploiting false timing paths, i.e. critical paths that cannot be logically activated. This allows to strongly relax timing constraints while guaranteeing minimal an ...

2018

Classifying Functions with Exact Synthesis

Giovanni De Micheli, Mathias Soeken, Eleonora Testa, Winston Jason Haaswijk

Due to recent advances, constraint solvers have become efficient tools for synthesizing optimum Boolean circuits. We take advantage of this by showing how SAT based exact synthesis may be used as a method for finding minimum length Boolean chains. As oppos ...

IEEE2017

Inversion optimization in majority-inverter graphs

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

Many emerging nanotechnologies realize majority gates as primitive building blocks and they benefit from a majority-based synthesis. Recently, Majority-Inverter Graphs (MIGs) have been introduced to abstract these new technologies. We present optimi ...

Ieee2016

Assessment of Confinement-Induced Band-to-Band Tunneling Leakage in the FinEHBTFET

Mihai Adrian Ionescu, Cem Alper, José Luis Padilla de la Torre

In conventional planar EHBTFETs, the interband tunneling phenomena responsible for the drive current takes place vertically in the section of the channel where top and bottom gates overlap. As a result, the horizontal extent of this overlapping between gat ...

Ieee2016

Majority logic synthesis

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

A method for optimizing an implementation of a logic circuit, comprising steps of providing an interpretation of the logic circuit in terms of 3 Boolean variable majority operators M, with each of the majority operators being a function of a plurality of v ...

2015

Offer semantics: Achieving compositionality, flattening and full expressiveness for the glue operators in BIP

Simon Bliudze, Eduard Baranov

Based on a concise but comprehensive overview of some fundamental properties required from component-based frameworks, namely compositionality, incrementality, flattening, modularity and expressiveness, we review three modifications of the semantics of glu ...

Elsevier2015

Exploiting Circuit Duality to Speed Up SAT

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

In this paper, we establish a non-trivial duality between tautology and contradiction check to speed up circuit SAT. Tautology check determines if a logic circuit is true in every possible interpretation. Analogously, contradiction check dete ...

IEEE2015

Biconditional Binary Decision Diagrams: A Novel Canonical Logic Representation Form

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

In this paper, we present biconditional binary deci- sion diagrams (BBDDs), a novel canonical representation form for Boolean functions. BBDDs are binary decision diagrams where the branching condition, and its associated logic expansion, is biconditional ...

2014

Majority Logic Representation and Satisfiability

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

Majority logic is a powerful generalization of common AND/OR logic. Original two-level and multi-level logic networks can use majority operators as primitive connective, in place of AND/ORs. In such a way, Boolean functions have novel means for compact rep ...

2014

Measurement of in-plane and out-of-plane displacements and strains using digital holographic moiré

Pramod Rastogi, Sai Siva Gorthi, Rishikesh Dilip Kulkarni

The paper proposes a non-destructive method for simultaneous measurement of in-plane and out-of-plane displacements and strains undergone by a deformed specimen from a single moire fringe pattern obtained on the specimen in a dual beam digital holographic ...

Taylor & Francis2014

Extended Connectors: Structuring Glue Operators in BIP

Simon Bliudze, Eduard Baranov

Based on a variation of the BIP operational semantics using the offer predicate introduced in our previous work, we extend the algebras used to model glue operators in BIP to encompass priorities. This extension uses the Algebra of Causal Interaction Trees ...

2013

Quotient method for stabilising a ball-on-a-wheel system – Experimental results

Dominique Bonvin, Philippe Müllhaupt

This paper extends the quotient method proposed in [1] and applies it to stabilize a “ball-on-a-wheel” system. The quotient method requires a diffeomorphism to obtain the normal form of the input vector field and uses canonical pro- jection to obtain the q ...

2012

Closing the Gap between FPGA and ASIC : Balancing Flexibility and Efficiency

Hadi Parandeh Afshar

Despite many advantages of Field-Programmable Gate Arrays (FPGAs), they fail to take over the IC design market from Application-Specific Integrated Circuits (ASICs) for high-volume and even medium-volume applications, as FPGAs come with significant cost in ...

EPFL2012

Fault-Tolerant Logic Gates Using Neuromorphic CMOS Circuits

Yusuf Leblebici, Alexandre Schmid, Neil Joye

Fault-tolerant design methods for VLSI circuits, which have traditionally been addressed at system level, will not be adequate for future very-deep submicron CMOS devices where serious degradation of reliability is expected. Therefore, a new design approac ...

IEEE2007