Catégorie

Algèbre de Boole (logique)

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A Hybrid Method for Spectral Translation Equivalent Boolean Functions

Giovanni De Micheli, Mathias Soeken, Eleonora Testa

The equivalence of Boolean functions with respect to five invariance (aka translation) operations has been well considered with respect to the Rademacher-Walsh spectral domain. In this paper, we introduce a hybrid approach that uses both the Reed-Muller an ...

IEEE2019

SAT-Based Exact Synthesis for Multi-Level Logic Networks

Winston Jason Haaswijk

Today, the design of electronic systems is largely automated. The practice of using software automation technologies for the design of electronic hardware is commonly referred to as Electronic Design Automation (EDA). EDA comprises a large set of tools, fr ...

EPFL2019

Exact Synthesis of ESOP Forms

Giovanni De Micheli, Heinz Riener, Bruno Schmitt Antunes

We present an exact synthesis approach for computing Exclusive-or Sum-of-Products (ESOP) forms with a minimum number of product terms using Boolean satisfiability. Our approach finds one or more ESOP forms for a given Boolean function. The approach can dea ...

Springer2019

Structural Rewriting in XOR-Majority Graphs

Giovanni De Micheli, Mathias Soeken, Zhufei Chu

In this paper, we present a structural rewriting method for a recently proposed XOR-Majority graph (XMG), which has exclusive-OR (XOR), majority-of-three (MAJ), and inverters as primitives. XMGs are an extension of Majority-Inverter Graphs (MIGs). Previous ...

ASSOC COMPUTING MACHINERY2019

The Role of Multiplicative Complexity in Compiling Low T-count Oracle Circuits

Giovanni De Micheli, Mathias Soeken, Giulia Meuli

We present a constructive method to create quantum circuits that implement oracles vertical bar x vertical bar y |0 (k) -> vertical bar x vertical bar y circle plus f(x)vertical bar 0 (k) for n-variable Boolean functions f with low T-count. In our method f ...

IEEE2019

On the Number of Containments in P-free Families

Abhishek Methuku

A subfamily {F-1, F-2, ..., F-vertical bar P vertical bar} subset of F is a copy of the poset P if there exists a bijection i : P -> {F-1, F-2, ..., F-vertical bar P vertical bar}, such that p

Springer2019

On-the-fly and DAG-aware: Rewriting Boolean Networks with Exact Synthesis

Giovanni De Micheli, Mathias Soeken, Heinz Riener, Winston Jason Haaswijk

The paper presents a generalization of DAG-aware AIG rewriting for k-feasible Boolean networks, whose nodes are k-input lookup tables (k-LUTs). We introduce a high-effort DAG-aware rewriting algorithm, called cut rewriting, which uses exact synthesis to co ...

IEEE2019

More Results on Shortest Linear Programs

Subhadeep Banik

At the FSE conference of ToSC 2018, Kranz et al. presented their results on shortest linear programs for the linear layers of several well known block ciphers in literature. Shortest linear programs are essentially the minimum number of 2-input xor gates r ...

2019

String Matching: Communication, Circuits, and Learning

Mika Tapani Göös

String matching is the problem of deciding whether a given n-bit string contains a given k-bit pattern. We study the complexity of this problem in three settings. - Communication complexity. For small k, we provide near-optimal upper and lower bounds on th ...

Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany2019

Self-Binarizing Networks

Sabine Süsstrunk, Radhakrishna Achanta, Fayez Lahoud, Pablo Marquez Neila

We present a method to train self-binarizing neural networks, that is, networks that evolve their weights and activations during training to become binary. To obtain similar binary networks, existing methods rely on the sign activation function. This funct ...

arXiv2019