This volume provides an account of the current state of the theory
of combinatory spaces and discusses various applications. Here the
term "combinatory space" can be regarded as a system for functional
programming and bears no close connection with combinatory logic.
The main chapter is divided into three chapters. Chapter 1 deals
with computational structures and computability; Chapter 2
considers combinatory spaces; and Chapter 3 embraces computability
in iterative combinatory spaces. A number of appendices treats a
survey of examples of combinatory spaces. All sections of the
chapters contain exercises together with hints for solution where
appropriate. For the reading of some parts of the book a knowledge
of mathematical logic and recursive function theory would be
desirable. The text is mainly aimed at researchers and specialists
of mathematical logic and its applications, as well as theoretical
computer scientists.
General
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