Descriptional Complexity of Formal Systems

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Intro -- Preface -- Organization -- Table of Contents -- Recent Developments in Quantum Algorithms and Complexity -- 1 Introduction -- 2 Recent Results -- References -- Automata with Reversal-Bounded Counters: A Survey -- 1 Introduction -- 2 Decidability of the Emptiness and Infiniteness Problems -- 3 VPDAs with Reversal-Bounded Counters -- 4 Applications -- 4.1 Multiple Morphism Equivalence on Context-Free Languages -- 4.2 Finite-Valuedness in Transducers -- 4.3 VPDTs with Reversal-Bounded Counters -- 4.4 Context-Free Transducers -- 4.5 Containment and Equivalence Problems for Transducers -- References -- Star-Free Languages and Local Divisors -- 1 Introduction -- 2 Preliminaries -- 3 Sch¨utzenberger's Theorem on Star-Free Languages -- References -- Aperiodic Tilings by Right Triangles -- 1 Introduction -- 1.1 Golden Triangles -- 1.2 Standard Tilings -- 2 Preliminaries -- 3 Results -- References -- Quantum Hashing via -Universal Hashing Constructions and Freivalds' Fingerprinting Schemas -- 1 Introduction -- 1.1 Definitions and Notations -- 2 Quantum Hashing -- 3 Generator for Quantum Hash Functions -- 3.1 Binary Quantum Hashing -- 3.2 Non-binary Quantum Hashing -- 3.3 Quantum Hash Generator -- 4 Quantum Hashing via Classical -Universal Hashing Constructions -- 4.1 Proof of Theorem 3 -- 5 Constructions of Quantum Hashing Based on Classical Universal Hashing -- 5.1 Quantum Hashing Based on Freivalds' Fingerprinting -- References -- Very Narrow Quantum OBDDs and Width Hierarchies for Classical OBDDs -- 1 Introduction -- 2 Preliminaries -- 3 Exact Quantum OBDDs -- 4 Nondeterministic Quantum and Classical OBDDs -- 5 Hierarchies for Deterministic and Nondeterministic OBDDs -- 5.1 Hierarchies and Relations for Small Width OBDDs -- 5.2 Hierarchies and Relations for Large Width OBDDs -- References -- Matter and Anti-Matter in Membrane Systems

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