Since their inception, the Perspectives in Logic and Lecture Notes
in Logic series have published seminal works by leading logicians.
Many of the original books in the series have been unavailable for
years, but they are now in print once again. The theory set out in
this volume, the ninth publication in the Perspectives in Logic
series, is the result of the meeting and common development of two
currents of mathematical research: descriptive set theory and
recursion theory. Both are concerned with notions of definability
and with the classification of mathematical objects according to
their complexity. These are the common themes which run through the
topics discussed here. The author develops a general theory from
which the results of both areas can be derived, making these common
threads clear.
General
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