CORDIS Project
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This project focuses on expanding the analysis of Boolean functions beyond traditional domains to include more complex algebraic structures. By developing discrete harmonic analysis, it aims to enhance theoretical computer science applications in areas such as quantum complexity and approximation hardness.
Boolean function analysis is a topic of research at the heart of theoretical computer science.
It studies functions on n input bits (for example, functions computed by Boolean circuits) from a spectral perspective, by treating them as real-valued functions on the group Z_2^n, and using techniques from Fourier and functional analysis.
Boolean function analysis has been applied to a wide variety of areas within theoretical computer science, including hardness of approximation, learning theory, cod…
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