Descriptional Complexity of Formal Systems

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Intro -- Preface -- Organization -- The Complexity of Carry Propagation for Successor Functions (Extended Abstract) -- Contents -- Finite Automata and Randomness -- 1 Introduction -- 2 Notation -- 3 Randomness by Martingales -- 4 Finite-State Dimension -- 5 Automaton Definable Null Sets -- 6 Subword Complexity -- 7 Predicting Finite Automata -- 8 Finite-State Genericity -- References -- Properties of Right One-Way Jumping Finite Automata -- 1 Introduction -- 2 Preliminaries -- 3 A Characterization of Permutation Closed Languages Accepted by ROWJFAS -- 4 Inclusion Relations Between Language Families -- 5 Closure Properties of ROWJ and pROWJ -- 6 More on Languages Accepted by ROWJFAs -- References -- Word Problem Languages for Free Inverse Monoids -- 1 Introduction -- 2 Background -- 2.1 Free Inverse Monoids -- 2.2 Word Problems of Inverse Monoids -- 3 The Rank 1 Case -- 4 Rank Greater Than 1 -- References -- Most Complex Deterministic Union-Free Regular Languages -- 1 Introduction -- 2 Preliminaries -- 3 Main Results -- 4 Conclusions -- References -- Site-Directed Insertion: Decision Problems, Maximality and Minimality -- 1 Introduction -- 2 Preliminaries -- 3 Site-Directed Insertion -- 3.1 Decision Problems -- 4 Maximal and Minimal Site-Directed Insertion -- 4.1 Decision Problems for Maximal/Minimal SDI -- 5 Nondeterministic State Complexity -- References -- Two-Way Automata over Locally Finite Semirings -- 1 Introduction -- 2 Locally Finite Semirings -- 3 Two-Way Automata -- 3.1 Definition and Behaviour -- 3.2 Characteristic and -Normalized Two-Way Automaton -- 4 Counting Paths -- 4.1 Crossing Sequences -- 4.2 Automaton of Crossing Sequences with One Repetition -- 4.3 Gathering Runs with the Same Label -- 5 Conclusion -- References -- A New Technique for Reachability of States in Concatenation Automata -- 1 Introduction -- 2 Preliminaries

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