
Implementation and Application of Automata
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Content
- Title Page
- Preface
- Organization
- Table of Contents
- Using Automata to Describe Self-Assembled Nanostructures
- A Summary of Some Discrete-Event System Control Problems
- Introduction
- Supervisory Control Problems
- Problems and Complexity
- Undecidable Problems
- Discussion
- References
- Large-Scale Training of SVMs with Automata Kernels
- Introduction
- Preliminaries
- Kernel Methods and SVM Optimization
- Overview of Kernel Methods
- Coordinate Descent Solution for SVM Optimization
- Coordinate Descent Solution for Rational Kernels
- Implementation and Analysis
- Experiments
- Conclusion
- References
- Filters for Efficient Composition of Weighted Finite-State Transducers
- Introduction
- Composition Algorithm
- Preliminaries
- Composition
- Elementary Composition Filters
- Look-Ahead Composition Filters
- Combining Filters
- Examples
- Implementation
- References
- Incremental DFA Minimisation
- Introduction
- Preliminaries
- The UNION-FIND Algorithm
- Related Work
- The Incremental Minimisation Algorithm
- Experimental Results
- Conclusions
- References
- Finite Automata for Generalized Approach to Backward Pattern Matching
- Introduction
- Historical Context
- Motivation
- Basic Definitions
- Background
- Backward Pattern Matching
- Classification of Pattern Matching Problems
- Backward Pattern Matching Machine
- Implementation Options
- Executor
- Constructor
- Construction of a Backward Pattern Matching Automaton
- Construction of a Reversed Projection Automaton
- Example: Construction of RPA for SFIERCO Problem
- Construction of Backward Pattern Matching Automaton
- Time and Space Complexity
- Conclusion
- References
- Partial Derivative Automata Formalized in Coq
- Introduction
- Regular Languages and Finite Automata
- Partial Derivative Automata
- The Coq Proof Assistant
- Formalization in Coq
- Formal Languages and Regular Expressions
- Correctness of Mirkin's Construction
- Related Work and Applications
- Concluding Remarks
- References
- Regular Geometrical Languages and Tiling the Plane
- Introduction
- Preliminaries
- Geometrical Languages
- Geometrical Languages and Tiling
- Tiling a Geometrical Figure
- Tiling the Figure of a Geometrical Language
- State Sequences Associated with the Levels of a Tiling
- Conclusion
- References
- COMPAS - A Computing Package for Synchronization
- Introduction and Motivation
- Synchronizing Automata and Synchronizing Algorithms
- COMPAS Architecture and Functionality
- References
- From Sequential Extended Regular Expressions to NFA with Symbolic Labels
- Introduction
- Regular Expressions for Property Specification
- Non-deterministic Finite Automata with Symbolic Labels
- Related Work
- Experimental Evaluation
- Conclusions and Future Work
- References
- State Complexity of Catenation Combined with Union and Intersection
- Introduction
- Preliminaries
- Catenation Combined with Union
- Catenation Combined with Intersection
- Conclusion
- References
- Complexity Results and the Growths of Hairpin Completions of Regular Languages (Extended Abstract)
- Introduction
- Preliminaries and Notation
- Main Results
- The NFA A
- Structure Theorem and Rational Growth
- Complexity for Testing the Regularity of Hk(L1, L2)
- References
- On Straight Words and Minimal Permutators in Finite Transformation Semigroups
- Introduction
- Straight Words
- Minimal Straight Words and Permutations of Subsets
- A Biological Example
- Conclusion
- References
- On Lazy Representations and Sturmian Graphs
- Introduction
- Continued Fraction Expansions, Sturmian Words and Sturmian Graphs
- Numeration Systems and Lazy Representations of Integers
- Ostrowski Numeration System and Lazy Representations
- Sturmian Graphs and Lazy Representations
- Conclusions
- References
- Symbolic Dynamics, Flower Automata and Infinite Traces
- Introduction
- Definitions and Notations
- Words and Traces
- Subshifts
- Infinite Traces and T-Shifts
- Flower Shifts
- References
- The Cayley-Hamilton Theorem for Noncommutative Semirings
- Introduction
- Semirings and Fields
- Permutations
- The Determinant in Noncommutative Semirings
- The Characteristic Polynomial in Noncomm. Semirings
- Multi-process CHT for Noncommutative Semirings
- Single-Process CHT for Noncommutative Semirings
- The CHT for Noncommutative Idempotent Semirings
- Conclusions
- References
- Approximating Minimum Reset Sequences
- Introduction
- Prior and Related Work
- Results
- A Simple Approximation Algorithm
- The stack cover Problem
- Open Problems and Conjectures
- References
- Transductions Computed by PC-Systems of Monotone Deterministic Restarting Automata
- Introduction
- Basic Notions and Definitions
- Transductions Computed by Restarting Automata
- Transformations Computed by PC-Systems of Monotone Deterministic RRWW-Automata
- Concluding Remarks
- References
- Uniformizing Rational Relations for Natural Language Applications Using Weighted Determinization
- Introduction
- Some Definitions and Background
- Algorithm
- An Example
- Conclusion and Future Work
- References
- Regular Expressions on Average and in the Long Run
- Introduction
- Weighted Automata on Finite and Infinite Words
- Cauchy Valuation Monoids, Cauchy Products, and Iterations
- Weighted Finite Automata and Regular Expressions
- Weighted Büchi Automata and -Regular Expressions
- Conclusion
- References
- Reachability Games on Automatic Graphs
- Introduction
- Preliminaries
- Automatic Reachability Games on Finite Arenas
- Automatic Reachability Games on Infinite Arenas
- Conclusion
- References
- Disambiguation in Regular Expression Matching via Position Automata with Augmented Transitions
- Introduction
- Formalizing the Leftmost-Longest Semantics
- Enumerating Parse Trees via Position Automata
- Correctly Nested Parenthesis Expressions
- Position NFAs with Augmented Transitions
- Developing a Matching Algorithm
- Basic Idea for Choosing the Most Prior Path
- Formalization
- Algorithm
- Related Work
- References
- A Polynomial Time Match Test for Large Classes of Extended Regular Expressions
- Introduction
- Definitions
- Janus Automata
- Janus Automata for Pattern Languages
- Patterns with Restricted Variable Distance
- References
- A Challenging Family of Automata for Classical Minimization Algorithms
- Introduction
- Preliminaries on Automata and Moore's Minimization
- Subset Construction and Brzozowski's Algorithm
- Circular Factors of Fibonacci Words
- The Two Algorithms on Word Automata
- Further Work
- References
- State of B¨uchi Complementation
- Introduction
- Preliminaries
- Historical Review
- Comparison of Complementation Approaches
- Optimization Techniques
- For Safra-Piterman
- For Rank
- For Slice
- Experimental Results
- Conclusion
- References
- Types of Trusted Information That Make DFA Identification with Correction Queries Feasible
- Introduction
- Preliminaries
- Query Learning
- Useful Parameters for Language Learning with CQs
- Learning $k$-Injective Languages with CQs
- Concluding Remarks
- References
- Compressing Regular Expressions' DFA Table by Matrix Decomposition
- Introduction
- Related Work
- A Matrix Decomposition Method for DFA Compression
- Problem Formulation: Additive Matrix Decomposition
- Iterative Algorithm for Additive Matrix Decomposition
- Experiment and Evaluation
- Compression Efficiency Comparison
- Searching Time Comparison
- Conclusion
- References
- Relational String Verification Using Multi-track Automata
- Introduction
- String Systems
- Regular Approximation of Word Equations
- Symbolic Reachability Analysis
- Experiments
- Conclusion
- References
- A Note on a Tree-Based 2D Indexing
- Introduction
- Basic Notions
- Representation of Multidimensional Arrays for Indexing
- Tree-Based Decomposition of a Picture
- Two-Dimensional Pattern Matching in Pictures in the Tree Representation
- Pushdown Automata for Picture Indexing
- Two-Dimensional Pattern Matching Using Pushdown Automata
- Conclusion
- References
- Regular Expressions at Their Best: A Case for Rational Design
- Introduction
- Backtracking vs. Automaton-Based Implementations
- Avoiding the Construction of NFA
- Lazy Determinization
- Pathological Cases Avoided
- More Freedom of Use
- Submatching
- Efficiency and Scalability
- Design and Implementation
- ASTL, Cursors and Incrementality
- Encapsulation, Lazy Determinization, Submatches, Thread-Safety
- Performance
- Conclusion
- References
- Simulations of Weighted Tree Automata
- Introduction
- Preliminaries
- Simulation
- Category of Simulations
- Joint Reduction
- References
- Author Index
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