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The twenty-six papers in this volume reflect the wide and still
expanding range of Anil Nerode's work. A conference on Logical
Methods was held in honor of Nerode's sixtieth birthday (4 June
1992) at the Mathematical Sciences Institute, Cornell University,
1-3 June 1992. Some of the conference papers are here, but others
are from students, co-workers and other colleagues. The intention
of the conference was to look forward, and to see the directions
currently being pursued, in the development of work by, or with,
Nerode. Here is a brief summary of the contents of this book. We
give a retrospective view of Nerode's work. A number of specific
areas are readily discerned: recursive equivalence types, recursive
algebra and model theory, the theory of Turing degrees and r.e.
sets, polynomial-time computability and computer science. Nerode
began with automata theory and has also taken a keen interest in
the history of mathematics. All these areas are represented. The
one area missing is Nerode's applied mathematical work relating to
the environment. Kozen's paper builds on Nerode's early work on
automata. Recursive equivalence types are covered by Dekker and
Barback, the latter using directly a fundamental metatheorem of
Nerode. Recursive algebra is treated by Ge & Richards (group
representations). Recursive model theory is the subject of papers
by Hird, Moses, and Khoussainov & Dadajanov, while a
combinatorial problem in recursive model theory is discussed in
Cherlin & Martin's paper. Cenzer presents a paper on recursive
dynamics.
An illustrated guide to Charleston, the Sussex farmhouse where
Vanessa Bell and Duncan Grant provided a gathering place for the
Bloomsbury group, which included such literary and artistic
luminaries as E. M. Forster, Lytton Strachey, and Virginia
Woolf.
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