Church's Problem on the Synthesis of Nonterminating Programs
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If you have a question about this talk, please contact Timothy G. Griffin.
Host: Anuj Dawar. NOTE: This talk is OUT-OF-TERM
Church’s Problem (1960) asks for the construction of a finite-state
procedure that transforms any input sequence X letter by letter
into an output sequence Y such that the pair (X,Y) satisfies
a given specification. Even after the solution by Buechi and Landweber
in 1969 (for specifications in monadic second-order logic), the
problem has stimulated research in automata theory for decades,
in recent years mainly in the algorithmic study of infinite
games. In the talk we present a modern solution which is fairly
self-contained and which provides additional insight into the
memory structure of the synthesized finite-state transducers. We
close with remarks on perspectives in algorithmic program synthesis.
This talk is part of the Wednesday Seminars - Department of Computer Science and Technology series.
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