
Language and Automata Theory and Applications
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Content
- Title Page
- Preface
- Organization
- Table of Contents
- Invited Talks
- Green's Relations and Their Use in Automata Theory
- Basics on Monoids
- Schützenberger's Characterization of Star-Free Languages
- The Theorem of Factorization Forests of Simon
- On ?-Semigroups and Monadic Logic
- The Characterization of Decidable Theories by Semenov
- Deterministic Automata over ?-Words: McNaughton
- References
- Automatic Structures and Groups
- Introduction
- Basics
- Decidability and Definability Theorem
- Domain Dependency
- Automaticity in Groups
- Thurston Automaticity vs. Cayley Automaticity
- The Isomorphism Problem
- References
- Vector Addition System Reachability Problem: A Short Self-contained Proof
- Introduction
- Notations
- Definable Conic Sets
- Presburger Sets and almost Semilinear Sets
- Linearizations
- Presburger Invariants
- Vector Addition Systems
- Asymptotically Definable Production Relations
- Almost Semilinear Reachability Relations
- Conclusion
- References
- Abstract Numeration Systems
- Introduction
- Integer Bases
- Basic Definitions and Results
- Cobham's Theorem and Periodicity
- Alternative Characterizations
- k-Recognizable Sets and Number Theory
- Linear Numeration Systems
- Basic Definitions and Results
- Bertrand Systems
- Pisot Systems
- Further Discussion
- Abstract Numeration Systems
- Basic Definitions and Results
- Alternative Characterizations
- Further Discussion
- References
- Regular Papers
- Rule Formats for Distributivity
- Introduction
- Preliminaries
- Transition System Specifications and Bisimilarity
- The Left-Distributivity Rule Formats
- The Firability Condition
- The Matching-Conclusion Condition
- Examples of Application of the Rule Format
- Analyzing Targets of Conclusions of Deduction Rules
- References
- Mutation Systems
- Introduction
- Preliminaries
- MutationSystems
- Point Mutations
- Conservation of Strictly k-Testable Patterns
- Simulating FSM Computation
- From FSMs to Mutation Systems
- Correctness of the FSM Simulation
- Simulating Cellular Automata
- From Cellular Automata to Mutation Systems
- Defining the Fitness Function
- Correctness of the Cellular Automaton Simulation
- Discussion
- References
- Classification of String Languages via Tiling Recognizable Picture Languages
- Introduction
- Preliminaries
- Tiling Recognizable Picture Languages
- Family REC and Context-Sensitive String Languages
- Recognition of String Languages via Picture Languages
- Further Examples and Remarks
- Classification of String Languages by Picture Languages
- Conclusions and Future Works
- References
- A Simple and Efficient Universal Reversible Turing Machine
- Introduction
- Reversible Turing Machines
- Universality for RTMs
- A First-Principles URTM
- Related Work
- Conclusion
- References
- The Parameterized Complexity of Chosen Problems for Finite Automata on Trees
- Introduction
- The Parameterized Complexity Theory
- Finite Automata
- Preliminaries
- Classes of Automata
- Parameterized Decision Problems for Finite Automata on Trees
- Known Results
- Results
- Classical Tree Automata (TA)
- Rigid Tree Automata (RTA) and Tree Automata with Equalities and Disequalities (TAGED)
- Automata on DAG Representations of Finite Trees (t-DAG Automata)
- Conclusion
- References
- Recognizing Shuffled Languages
- Introduction
- Preliminaries
- Concurrent Finite-State Automata
- Membership Problems
- Conclusions and Future Work
- References
- Unary Pattern Avoidance in Partial Words Dense with Holes
- Introduction
- Preliminaries
- Hole Sparsity
- Non-trivial Minimum Hole Sparsity for Unary Patterns
- Minimum Hole Sparsity for Unary Patterns
- Conclusion
- References
- Characterizing Compressibility of Disjoint Subgraphs with NLC Grammars
- Introduction
- Related Work
- Notation and Terminology
- NLC Graph Grammars
- Compatibility and Confluency
- Touching Subgraphs
- Symmetric Connections
- Discussion
- References
- Partial Derivatives of an Extended Regular Expression
- Introduction
- Preliminaries
- Partial Derivatives of an Extended Expression
- A Natural Extension
- Set of Sets Extension
- The Derivated Term Automaton
- The Partial Derivative Automaton
- Conclusion
- References
- Automatic Learning of Subclasses of Pattern Languages
- Introduction
- The Model
- Classes of Pattern Languages
- Character Variables
- References
- Finite Orbits of Language Operations
- Introduction
- Operations with Infinite Orbit
- Kuratowski Identities
- Additional Identities
- Results
- Prefix and Complement
- Prefix, Kleene Star, Complement
- Factor, Kleene Star, Complement
- Kleene Star, Prefix, Suffix, Factor
- Summary of Results
- FurtherWork
- References
- Finitary Languages
- Introduction
- Definitions
- Topological Complexity of Languages
- Finitary Languages
- Automata, ?-Regular and Finitary Languages
- Topological Complexity
- Expressive Power of Finitary Automata
- Comparison with Classical Automata
- Deterministic Finitary Automata
- Non-deterministic Finitary Automata
- Closure Properties
- Regular Expression Characterization
- Decision Problems
- References
- The Complexity of Request-Response Games
- Introduction
- Definitions
- Complexity of Request-Response Games
- Request-Response Games Are EXPTIME-Complete
- Strategy Complexity
- Restrictions
- DAG Arenas
- One-Player Arenas
- References
- Improved Alignment Based Algorithm for Multilingual Text Compression
- Introduction
- Multilingual Compression Algorithm
- Results and Analysis
- Conclusion
- References
- Singular Artin Monoids of Finite Coxeter Type Are Automatic
- Introduction
- Automaticity via Rational Relations
- TheResults
- The Positive Singular Artin Monoid MG
- The Language of Normal Forms
- Automaticity of MG
- Automaticity of the Singular Artin Monoid M?
- References
- Networks of Evolutionary Processors with Subregular Filters
- Introduction
- Definitions
- Some General Results
- Computationally Complete Cases
- Computationally Non-complete Cases
- Conclusion
- References
- Decision Problems for Interval Markov Chains
- Introduction
- Background
- Refinement Relations
- Determinism
- Common Implementation and Consistency
- Related Work and Conclusion
- References
- Classifying Regular Languages via Cascade Products of Automata
- Introduction
- Preliminaries
- Piecewise Testable Languages
- Commutative Languages
- The Scope of Cascade Products
- Cascade Products and Dot-Depth
- Conclusion
- References
- The Block Structure of Successor Morphisms
- Introduction
- Basic Concepts and Definitions
- One Letter Bound for Successor Morphisms
- Block Structure of Successor Morphisms 3074
- Reduction Sequence of Successor Morphisms
- References
- Models for Quantitative Distributed Systems and Multi-Valued Logics
- Introduction
- Background: Traces and Asynchronous Cellular Automata
- Traces and Finite Automata
- Asynchronous Cellular Automata
- MSO Logic on Traces
- Weighted Asynchronous Cellular Automata
- Valuation Monoids and Weighted Finite Automata
- Weighted Asynchronous Cellular Automata
- The I-diamond Property and Its Relationship to wACAs
- Weighted MSO Logics
- Product Valuation Monoids
- Weighted MSO Logics for Traces
- The Relationship between wMSO Logics for Traces and Words
- Discussion
- References
- A Local Greibach Normal Form for Hyperedge Replacement Grammars
- Introduction
- Preliminaries
- Heaps and Hypergraphs
- Data Structures and Hyperedge Replacement Grammars
- Execution of Program Statements
- Heap Abstraction Grammars
- Local Greibach Normal Form
- Related Work
- Conclusion
- References
- Unique Small Subgraphs Are Not Easier to Find
- Introduction
- A Reduction to Instances with at Most One Occurrence
- Conclusions
- References
- Simplifying DPDA Using Supplementary Information
- Introduction
- Deterministic Pushdown Automata
- Complexity of Deterministic Context-Free Languages
- Measuring Complexity of Automata
- State Complexity
- Usefulness of Supplementary Information
- Decomposable Languages
- Non-decomposable Languages
- Conclusion
- References
- Normalization of Sequential Top-Down Tree-to-Word Transducers
- Introduction
- Sequential Top-Down Tree-to-Word Transducers
- Output Normalization
- Reducing Languages
- Pushing Words through Languages
- Pushing Words Backwards
- Output Normalization Algorithm
- Exponential Lower Bound
- Minimization
- Conclusions and Future Work
- References
- Planarity of Knots, Register Automata and LogSpace Computability
- Introduction
- Preliminaries
- Automata over an Infinite Alphabet
- Knots
- Planarity of Knot Diagrams Represented by Gauss Words
- Main Results
- Cairns-Elton Algorithm
- Implementation of Cairns-Elton Algorithm
- RA to LOGSPACE
- UNSIGNED PLANARITY in L
- LOGSPACE to DRA
- Conclusion
- References
- Tarski's Principle, Categorial Grammars and .Learnability
- Introduction
- Preliminaries
- Functor-Argument Structures
- Substitutions
- Functorial Languages
- Functorial Contexts
- Types and Grammars
- Unification
- Learnability
- References
- Globally Deterministic CD-Systems of Stateless R(1)-Automata
- Introduction
- CD-Systems of Stateless Deterministic R(1)-Automata
- Globally Deterministic CD-R(1)-Systems
- Decision Problems
- Concluding Remarks
- References
- Bit-coded Regular Expression Parsing
- Introduction
- Regular Expressions as Types
- Bit-coded Parse Trees
- Parsing Algorithms
- Dubé/Feeley-Style Parsing
- Frisch/Cardelli-Style Parsing
- Empirical Evaluation
- Backtracking Worst Case: (an: (a+1)nan)
- DFA Worst Case (am+1: (a+b)a (a+b)n)
- Practical Examples
- Conclusion
- References
- Descriptional Complexity of Unambiguous Nested Word Automata
- Introduction
- Preliminaries
- Lower Bounds for the Size of Nested Word Automata
- From Unambiguous to Deterministic
- From Nondeterministic to Unambiguous
- Complementing Nondeterministic Automata
- Homomorphic Images of Deterministic Automata
- Conclusion
- References
- Avalanche Structure in the Kadanoff Sand Pile Model
- Introduction
- Kadanoff Sand Pile Model
- Strategies and Avalanches
- The Context
- Avalanche Process in the General Case
- Short Transitional Phase When $D$ = 3
- Perspectives
- References
- Well-Quasi-Ordering Hereditarily Finite Sets
- Introduction
- Basics and Notation
- Sets and Digraphs
- Well-Quasi-Orders and Digraph Immersion
- Slim Sets and Discrimination
- Encoding
- Main Result
- Conclusion
- References
- On the Interval-Bound Problem for Weighted Timed Automata
- Introduction
- Preliminaries
- Undecidability Result
- Decidability Result
- The Addition Widget
- Other Widgets
- Arrangement of the Widgets
- Open Problems
- References
- Finding Shuffle Words That Represent Optimal Scheduling of Shared Memory Access
- Introduction
- Basic Definitions
- The Problem of Computing Shuffle Words with Minimum Scope Coincidence Degree
- Further Properties of the Scope Coincidence Degree
- Solving the Problem SWminSCDS
- References
- Syntactic Complexity of Ultimately Periodic Sets of Integers
- Introduction
- Definitions
- Main Results
- Application to a Decision Procedure
- Further Work
- References
- Undecidability of the State Complexity of Composed Regular Operations
- Introduction
- Diophantine Preliminaries
- State Complexity. Auxiliary Results from Automata Theory
- Undecidability
- Further Considerations and Open Problems
- The Effect of the Undecidability Reduction on the Associated Operations
- Borderline between Decidability and Undecidability
- Regularity-Preserving Operations Associated with Classes of Functions
- References
- Restarting Automata with Auxiliary Symbols and Small Lookahead
- Introduction
- Preliminaries
- Four Useful Properties
- MainResults
- Concluding Remarks
- References
- Author Index
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