Selected Decision Problems for Square-Refinement Collage Grammars -- Weighted Tree Automata over Valuation Monoids and Their Characterization by Weighted Logics -- Partial Conway and Iteration Semiring-Semimodule Pairs -- Kleene Theorem in Partial Conway Theories with Applications -- Rational Transformations and a Kleene Theorem for Power Series over Rational Monoids -- Equational Weighted Tree Transformations with Discounting -- Quantum Automata Theory - A Review -- Graph Automata: The Algebraic Properties of Abelian Relational Graphoids -- A Survey on Picture-Walking Automata -- Identity Problems, Solvability of Equations and Unification in Varieties of Semigroups Related to Varieties of Groups -- Algebraic Systems and Pushdown Automata -- Where Automatic Structures Benefit from Weighted Automata -- Survey: Weighted Extended Top-Down Tree Transducers Part III - Composition -- Valuations of Weighted Automata: Doing It in a Rational Way -- Selected Combinatorial Properties of Random Intersection Graphs. Weighted Tree Automata over Valuation Monoids and Their Characterization by Weighted Logics -- Partial Conway and Iteration Semiring-Semimodule Pairs -- Kleene Theorem in Partial Conway Theories with Applications -- Rational Transformations and a Kleene Theorem for Power Series over Rational Monoids -- Equational Weighted Tree Transformations with Discounting -- Quantum Automata Theory - A Review -- Graph Automata: The Algebraic Properties of Abelian Relational Graphoids -- A Survey on Picture-Walking Automata -- Identity Problems, Solvability of Equations and Unification in Varieties of Semigroups Related to Varieties of Groups -- Algebraic Systems and Pushdown Automata -- Where Automatic Structures Benefit from Weighted Automata -- Survey: Weighted Extended Top-Down Tree Transducers Part III - Composition -- Valuations of Weighted Automata: Doing It in a Rational Way -- Selected Combinatorial Properties of Random Intersection Graphs.