Abstract

In this chapter, we briefly recall basic definitions from theoretical computer science. We start with several general notations from formal language theory (words, finite automata, word rewriting systems). The main part of the chapter is a brief introduction into basic concepts from complexity theory. The goal is to enable readers that are not familiar with complexity theory to understand the results and proofs in this book. But this chapter cannot replace a thorough introduction into the broad field of complexity theory. For this, we refer the reader to the textbooks [7, 138].

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