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@inproceedings{fremont-fsttcs15,
author = {Daniel J. Fremont and
Alexandre Donz{\'{e}} and
Sanjit A. Seshia and
David Wessel},
title = {Control Improvisation},
booktitle = {35th {IARCS} Annual Conference on Foundation of Software Technology
and Theoretical Computer Science (FSTTCS)},
pages = {463--474},
Year = {2015},
Month = {December},
series = {LIPIcs},
volume = {45},
abstract = {We formalize and analyze a new automata-theoretic problem termed control improvisation. Given
an automaton, the problem is to produce an improviser, a probabilistic algorithm that randomly
generates words in its language, subject to two additional constraints: the satisfaction of an
admissibility predicate, and the exhibition of a specified amount of randomness. Control improvisation
has multiple applications, including, for example, generating musical improvisations that
satisfy rhythmic and melodic constraints, where admissibility is determined by some bounded
divergence from a reference melody. We analyze the complexity of the control improvisation
problem, giving cases where it is efficiently solvable and cases where it is #P-hard or undecidable.
We also show how symbolic techniques based on Boolean satisfiability (SAT) solvers can
be used to approximately solve some of the intractable cases.},
}