Year: 2011
Type: article
Abstract: Current theoretical solutions to the classical Church's synthesis problem are focused on synthesizing transition systems and not programs. Programs are compact and often the true aim in many synthesis problems, while the transition systems that correspond to them are often large and not very useful as synthesized artefacts. Consequently, current practical techniques first synthesize a transition system, and then extract a more compact representation from it. We reformulate the synthesis of reactive systems directly in terms of program synthesis, and develop a theory to show that the problem of synthesizing programs over a fixed set of Boolean variables in a simple imperative programming language is decidable for regular omega-specifications. We also present results for synthesizing programs with recursion against both regular specifications as well as visibly-pushdown language specifications. Finally, we show applications to program repair, and conclude with open problems in synthesizing distributed programs.
Author: Madhusudan, Parthasarathy
Institution: University of Illinois Urbana-Champaign
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W2294220179