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pin j handbook automata theory vol ii 2021

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Textbook in PDF format Dedicatory Preface List of contributors Automata in mathematics Rational subsets of groups Introduction Finitely generated groups Inverse automata and Stallings' construction Rational and recognisable subsets References Groups defined by automata Introduction The geometry of the Cayley graph Groups generated by automata References Automata in number theory Introduction Automatic sequences and automatic sets of integers Prime numbers and finite automata Expansions of algebraic numbers in integer bases The Skolem–Mahler–Lech theorem in positive characteristic The algebraic closure of F_p(t) Update References On Cobham's theorem Introduction Numeration basis Automatic sequences Multidimensional extension and first-order logic Numeration systems and substitutions Cobham's theorem in various contexts Decidability issues References Symbolic dynamics Introduction Shift spaces Automata Minimal automata Symbolic conjugacy Special families of automata Syntactic invariants References Automatic structures Introduction Automatic Structures The connection with MSOL Operations on automatic structures Proving a structure has no automatic presentation Equivalent automatic presentations Automatic-like structures Outlook References Automata and finite model theory Introduction Definitions Finite model theory of strings and trees Automata and finite model theory of arbitrary structures References Finite automata, image manipulation, and automatic real functions Introduction Definitions and notation Normal forms, minimality, and decidability Examples Image manipulation A monster function References Selected applications Communicating automata Introduction Communicating automata Reachability problems Specifications and model-checking Realisability References Symbolic methods and automata Introduction Integer domain Real domain Conclusions and perspectives References Synthesis with finite automata Introduction Church problem Control of discrete event systems Distributed synthesis: synchronous architectures Distributed synthesis: Zielonka automata References Timed automata Introduction Timed automata The emptiness problem, why and how? The region abstraction: a key for decidability Applications of the region automaton construction The language-theoretic perspective Conclusion and current developments References Higher-order recursion schemes and their automata models Introduction Preliminaries From CPDA to recursion schemes From recursion schemes to collapsible pushdown automata Safe higher-order recursion schemes References Analysis of probabilistic processes and automata theory Introduction Definitions and Background Analysis of finite-state Markov chains Analysis of finite-state MDPs Adding recursion to MCs and MDPs References Natural language parsing Introduction to natural language parsing Preliminaries Tabulation LR recognition Earley's algorithm Cocke–Younger–Kasami algorithm Bibliographic notes References Verification Introduction Linear-time logics Applications Branching-time logics Applications References Automata and quantum computing Introduction Mathematical background Preliminaries One-way QFAs Two-way QFAs Other models and results Concluding remarks References Index

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pin j handbook automata theory vol ii 2021

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