Publications associées à Anneau de Boole

In Medio Stat Virtus: Combining Boolean and Pattern Matching

Giovanni De Micheli, Alessandro Tempia Calvino, Gianluca Radi

Technology mapping transforms a technology-independent representation into a technology-dependent one given a library of cells. This process is performed by means of local replacements that are extracted by matching sections of the subject graph to library ...

2024

On Polynomial Algorithms for Normalizing Formulas

Viktor Kuncak, Simon Guilloud, Mario Bucev

We propose a new approach for normalization and simplification of logical formulas. Our approach is based on algorithms for lattice-like structures. Specifically, we present two efficient algorithms for computing a normal form and deciding the word problem ...

2022

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

A Majority Lemma for Randomised Query Complexity

Mika Tapani Göös, Gilbert Théodore Maystre

We show that computing the majority of n copies of a boolean function g has randomised query complexity R(Maj∘gⁿ) = Θ(n⋅R ̅_{1/n}(g)). In fact, we show that to obtain a similar result for any composed function f∘gⁿ, it suffices to prove a sufficiently stro ...

Schloss Dagstuhl - Leibniz-Zentrum für Informatik2021

Three-Input Gates for Logic Synthesis

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

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

Enumerating Optimal Quantum Circuits using Spectral Classification

Giovanni De Micheli, Mathias Soeken, Giulia Meuli

This work targets fault-tolerant quantum computing and focuses on the problem of mapping reversible circuits into the Clifford+T quantum gate library. We present an automatically-generated database containing minimal-cost quantum circuits for Boolean funct ...

IEEE2020

Enumerating Optimal Quantum Circuits using Spectral Clasification

Giovanni De Micheli, Mathias Soeken, Giulia Meuli

2020

Advanced Functional Decomposition Using Majority and Its Applications

Giovanni De Micheli, Mathias Soeken, Zhufei Chu

Typical operators for the decomposition of Boolean functions in state-of-the-art algorithms are AND, exclusive-OR (XOR), and the 2-to-1 multiplexer (MUX). We propose a logic decomposition algorithm that uses the majority-of-three (MAJ) operation. Such a de ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

The Power of Many Samples in Query Complexity

Mika Tapani Göös

The randomized query complexity 𝖱(f) of a boolean function f: {0,1}ⁿ → {0,1} is famously characterized (via Yao’s minimax) by the least number of queries needed to distinguish a distribution 𝒟₀ over 0-inputs from a distribution 𝒟₁ over 1-inputs, maximized ...

Schloss Dagstuhl - Leibniz-Zentrum für Informatik2020

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Anneau de Boole

In Medio Stat Virtus: Combining Boolean and Pattern Matching

On Polynomial Algorithms for Normalizing Formulas

Equivalence Checking for Orthocomplemented Bisemilattices in Log-Linear Time

A Majority Lemma for Randomised Query Complexity

Three-Input Gates for Logic Synthesis

Enumerating Optimal Quantum Circuits using Spectral Classification

Enumerating Optimal Quantum Circuits using Spectral Clasification

Advanced Functional Decomposition Using Majority and Its Applications

The Power of Many Samples in Query Complexity

On the Number of Containments in P-free Families

Graph Chatbot

Chattez avec Graph Search

On Polynomial Algorithms for Normalizing Formulas

On the Number of Containments in P-free Families

A Majority Lemma for Randomised Query Complexity

Enumerating Optimal Quantum Circuits using Spectral Clasification

The Power of Many Samples in Query Complexity

Enumerating Optimal Quantum Circuits using Spectral Classification

In Medio Stat Virtus: Combining Boolean and Pattern Matching

Equivalence Checking for Orthocomplemented Bisemilattices in Log-Linear Time

Three-Input Gates for Logic Synthesis

Advanced Functional Decomposition Using Majority and Its Applications