
Development in Language Theory
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Content
- Title
- Preface
- Organization
- Table of Contents
- Invited Talks
- Hunting Redundancies in Strings
- Redundancy: A Versatile Notion
- Avoiding Repetitions and Repeats
- Finding Repetitions
- Palindromes in DNA Sequence
- References
- Some Remarks on Automata Minimality
- Introduction
- Basic Definitions and Notation
- Some Graph-Theoretic Tools
- Uniformly Minimal Automata
- Never-Minimal Automata
- Automata Minimality and Transformation Monoid
- References
- Growth Properties of Power-Free Languages
- Preliminaries
- Small Languages: Polynomial Plateau
- Big Languages: Quest for Upper Bounds
- Finding Growth Rates of FAD-Languages
- Building Finite Antidictionaries
- Big Languages: Quest for Lower Bounds
- Big Languages: Asymptotic Formulas
- Extending the Techniques to Related Classes of Languages
- References
- A Functional Program for Regular Expressions Matching Abstract of Invited Talk
- References
- State Complexity Research and Approximation
- Introduction
- Preliminaries
- Why Many State Complexity Questions Were Not Studied Earlier
- A General Algorithm for State Complexity?
- New Approach in State Complexity Research
- State Complexity Approximation
- Definition of State Complexity Approximation
- Some Basic Results on State Complexity Approximation
- Approximation without Knowing Actual State Complexity
- Future Directions
- References
- Regular Papers
- Counting the Orderings for Multisets in Consecutive Ones Property and PQ-Trees
- Introduction
- Definitions and Terminology
- Counting the Frontiers of a PQ-tree
- Construction of the PQ-trees
- Properties of the PQ-trees
- Reduction from #HAM to #FRONT
- Hardness Results for #FMO
- Instance Construction
- Characterization of the Solutions
- Reduction from #HAM to #FMO
- References
- Avoiding Abelian Powers in Partial Words
- Introduction
- Avoiding Abelian Powers Greater Than Two
- Counting Abelian p-Free Partial Words
- Inserting Arbitrarily Many Holes
- Conclusion
- References
- Regular Splicing Languages Must Have a Constant
- Introduction
- Preliminaries
- Path-Automata and Synchronizing Words
- Splicing Languages Must Have a Constant
- The Main Result
- References
- The Average Transition Complexity of Glushkov and Partial Derivative Automata
- Introduction
- Regular Expressions and Automata
- The Glushkov Automaton
- A New Algorithm for Computing Follow()
- Counting the Number of Transitions in the Glushkov Automaton
- The Average Number of Transitions in Apos()
- The Average Number of Transitions in Apd
- Counting the Mergings of Transitions
- Comparison with Experimental Results
- Conclusions
- References
- Theory of Átomata
- Introduction
- Languages, Automata and Equations
- The Átomaton of a Regular Language
- Atomic Automata
- Extension of Brzozowski's Theorem on Minimal DFA's
- Conclusions
- References
- Syntactic Complexity of Ideal and Closed Languages
- Introduction
- Preliminaries
- Basic Properties of Syntactic Complexity
- Right Ideals and Prefix-Closed Languages
- Left Ideals and Suffix-Closed Languages
- Two-Sided Ideals and Factor-Closed Languages
- Reversal
- Conclusions
- References
- Generalized One-Unambiguity
- Introduction
- Preliminaries
- One-Unambiguous Languages are Not Closed under Boolean Operators
- The Weak One-Unambiguity
- Minimization Preserves the Transverse Property
- From a Weakly One-Unambiguous Expression to a Linear-Size DFA Satisfying the Transverse Property
- From a Minimal Automaton Satisfying the Transverse Property to a Weakly One-Unambiguous Expression
- Conclusion
- References
- Simulations over Two-Dimensional On-Line Tessellation Automata
- Introduction
- Picture Languages and Tiling Systems
- Two-Dimensional On-Line Tessellation Automata
- Simulations
- Autosimulations
- Quotienting 2OTA
- The Minimal Simulation-Equivalent 2OTA
- How to Compute Simulations
- The Case of Backward Simulations
- Conclusion and Future Work
- References
- ?-Clearing Restarting Automata and CFL
- Introduction
- Theoretical Background
- Coding
- Idea of the Algorithm
- Conclusion
- References
- Enumeration and Decidable Properties of Automatic Sequences
- Introduction
- Connection with Logic
- Enumeration
- A New Characterization of k-Regular Sequences
- Linear Bounds
- Other Numeration Systems
- Closing Remarks
- References
- Languages vs. ?-Languages in Regular Infinite Games
- Introduction
- Technical Preliminaries
- Languages, Automata, Games
- Classes of Regular Languages
- Winning Strategies in Restricted Weak Games
- Winning Strategies in Weak Games
- Winning Strategies in Strong Games
- Conclusion
- References
- Solving Word Problems in Group Extensions over Infinite Words
- Preliminaries
- The Group Extension E(A,G) of G by Infinite Words over A
- Group Extensions over A=Z[t ]
- Realization of Some HNN-Extensions
- References
- Abelian Primitive Words
- Introduction
- Definitions
- Non-context-Freeness of AQ
- Complexity of AQ
- A Linear Time Algorithm for Recognizing AQ
- Number of Abelian Primitive Roots
- Upper Bound
- Lower Bound
- Counting Abelian Primitive Words
- Equivalence Relations on A-Primitive Words
- Conclusions
- References
- Scattered Context-Free Linear Orderings
- Introduction
- Linear Orderings
- Scattered Context-Free Linear Orderings
- Decidability in Exponential Time
- References
- On Prefix Normal Words
- Introduction
- The Prefix Normal Form
- The Language of Prefix Normal Words
- Prefix Normal Words vs. Lyndon Words
- The Prefix Normal Equivalence
- Conclusion and Open Problems
- References
- On Non-complete Sets and Restivo's Conjecture
- Introduction
- The Set Sk
- Upper Bound for uwl(Sk)
- Lower Bound for uwl(Sk)
- Conclusion
- References
- Self-organization in Cellular Automata: A Particle-Based Approach
- Introduction
- Definitions
- Configurations and Cellular Automata
- Measures and Density of Configuration
- Limit and -Limit sets
- Defects
- General Definitions
- Interfaces
- Dislocations
- Dynamics
- A Step towards Self-organization
- Applications
- n-state Cyclic Automaton
- Automaton #184
- Captive One Sided Cellular Automata
- Conclusion
- References
- Chop Operations and Expressions: Descriptional Complexity Considerations
- Introduction
- Definitions
- State Complexity of Chop Operations
- Nondeterministic State Complexity
- Deterministic State Complexity
- Complexity of Chop Expressions
- References
- Nodes Connected by Path Languages
- Introduction
- Preliminaries
- Reachability Problems on Labeled Graphs
- Relations between Reachability Problems on Labeled Graphs
- Reachability of Labeled Graphs and Word Problems of Language Families
- Conclusions
- References
- Characterizing the Regular Languages by Nonforgetting Restarting Automata
- Introduction
- Nonforgetting Restarting Automata
- Characterizing the Regular Languages
- Deterministic Nonforgetting R(1)-Automata
- Concluding Remarks
- References
- On Two-Way Transducers
- Introduction
- Preliminaries
- 3-Phase Finite-Crossing 2NPCMs
- Proofs of the Main Results
- Finite-Crossing 2NFTs
- References
- There Does Not Exist a Minimal Full Trio with Respect to Bounded Context-Free Languages
- Introduction
- Preliminaries
- Full Trios Generated by Almost Regular Bounded Context-Free Languages
- Examples and Basic Properties of Languages in CkCk+1, kN+
- Simplifying the Structure of Bounded Languages in CkCk+1, kN+
- Propagation in the Chain
- Closure Properties of the Language Families Ck, kN+
- Conclusions
- References
- Describing Periodicity in Two-Way Deterministic Finite Automata Using Transformation Semigroups
- Introduction
- Two-Way Transformation Semigroups
- Monogenic Subsemigroups of TTQ
- The Distance Travelled After i Steps
- : Moving by f Until Advancing by One Position
- Index and Period of the Subsemigroup Generated by f
- The Main Theorem and Its Implications
- Transformation to Sweeping Automata
- Transformation to One-Way Automata
- References
- Deciding Networks of Evolutionary Processors
- Introduction
- Basic Definitions
- The New Halting Condition and Computability Results
- Complete ANEPs
- Computational Complexity
- References
- From Linear Partitions to Parallelogram Polyominoes
- Introduction
- Preliminaries
- The Algorithm
- The Data Structure
- Complexity
- Conclusions
- References
- On Brzozowski's Conjecture for the FreeBurnside Semigroup Satisfying x^2 = x^3$
- Preliminaries
- Procedure Ancestor and Primary Series of Words
- The Proof of the Main Result
- Growth Rates of Congruence Classes
- References
- Never Minimal Automata and the Rainbow Bipartite Subgraph Problem
- Introduction
- The Syntactic Graphs
- The Rainbow Bipartite Subgraph Problem
- NP-Completeness of co-NEVER-MINIMAL
- Connections with the Syntactic Monoid Problem
- Conclusions and Open Problems
- References
- Boolean Algebras of Regular Languages
- Introduction
- Preliminaries on Boolean Algebras
- Preliminaries on Regular Languages
- Boolean Algebra R
- Boolean Algebra A
- Conclusion
- References
- Fife's Theorem Revisited
- Introduction
- Notation
- The Lexicographically Least Overlap-Free Word
- Automatic Infinite Binary Overlap-Free Words
- Remarks
- References
- Infinite Words Rich and Almost Rich in Generalized Palindromes
- Introduction
- Properties of Words with Finite -Defect
- Proofs
- Conclusion
- References
- Models of Pushdown Automata with Reset
- Introduction
- Preliminaries
- Basic Notation
- Basic Computation Models
- PDA with Reset States
- Resettable Pushdown Automata
- Variants Equivalent to the 2PDA
- Conclusion
- References
- Towards Dual Approaches for Learning Context-Free Grammars Based on Syntactic Concept Lattices
- Introduction
- Preliminaries
- Syntactic Concept Lattices
- Overview
- Grammatical Representation of Syntactic Concept Lattices
- Learning of Context-Free Grammars
- Primal Approach
- Dual Approach
- Learning with the Maximal Bicliques
- Concluding Remarks
- References
- On Highly Repetitive and Power Free Words
- Introduction
- Preliminary Definitions and Results
- Highly Repetitive Binary Words
- Highly Repetitive Ternary Words
- Weaker Results on Ternary Words
- Conclusion
- References
- A Sufficient Condition for Erasing Productions to Be Avoidable
- Introduction
- Basic Notions
- Control Languages and Erasing Productions
- Applications
- References
- Short Papers
- Encoding Centered Polyominoes by Means of a Regular Language
- References
- Computational Aspects of Asynchronous Cellular Automata
- References
- Short 3-Collapsing Words over a 2-Letter Alphabet
- References
- A Cascade Decomposition of Weighted Finite Transition Systems
- References
- Morphic Characterizations in Terms of Insertion Systems with a Context of Length One
- References
- Inference of Residual Finite-State Tree Automata from Membership Queries and Finite Positive Data
- References
- On the Representability of Line Graphs
- Introduction
- Results
- References
- Author Index
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