ScholarLens Back to search
1987•Unpublished venueRequires access

The Complexity of Boolean Functions

Ingo Wegener

Open publisher page 885 citations

Abstract

Introduction to the Theory of Boolean Functions and Circuits. The Minimimization of Boolean Functions. The Design of Efficient Circuits for Some Fundamental Functions. Asymptotic Results and Universal Circuits. Lower Bounds on Circuit Complexity. Monotone Circuits. Relations between Circuit Size, Formula Size and Depth. Formula Size. Circuits and other Non-Uniform Computation Methods vs. Turing Machines and other Uniform Computation Models. Hierarchies, Mass Production, and Reductions. Bounded-Depth Circuits. Synchronous, Planar, and Probabilistic Circuits. PRAMs and WRAMs: Parallel Random Access Machines. Branching Programs. References. Index.

About this research paper

What this paper is about

Introduction to the Theory of Boolean Functions and Circuits. The Minimimization of Boolean Functions. The Design of Efficient Circuits for Some Fundamental Functions. Asymptotic Results and Universal Circuits. Lower Bounds on Circuit Complexity. Monotone Circuits. Relations between Circuit Size, Formula Size and Depth. Formula Size. Circuits and other Non-Uniform Computation Methods vs. Turing Machines and other Uniform Computation Models. Hierarchies, Mass Production, and Reductions. Bounded-Depth Circuits. Synchronous, Planar, and Probabilistic Circuits. PRAMs and WRAMs: Parallel Random Access Machines. Branching Programs. References. Index.

Why it matters

OpenAlex reports 885 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Introduction to the Theory of Boolean Functions and Circuits. The Minimimization of Boolean Functions. The Design of Efficient Circuits for Some Fundamental Functions. Asymptotic Results and Universal Circuits. Lower Bounds on Circuit Complexity. Monotone Circuits. Relations between Circuit Size, Formula Size and Depth. Formula Size. Circuits and other Non-Uniform Computation Methods vs. Turing Machines and other Uniform Computation Models. Hierarchies, Mass Production, and Reductions. Bounded-Depth Circuits. Synchronous, Planar, and Probabilistic Circuits. PRAMs and WRAMs: Parallel Random Access Machines. Branching Programs. References. Index.

Key concepts: Boolean circuit, Boolean function, Circuit complexity, Electronic circuit, Circuit minimization for Boolean functions, Mathematics, Complexity index, Parity function

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The Complexity of Boolean Functions — Research Paper | ScholarLens