Words Semigroups Transductions 1st Edition by Masami Ito, Gheorghe Paun, Sheng Yu 9812810908 9789812810908

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ISBN-10 :  9812810908 

ISBN-13 :  9789812810908

Author: Masami Ito, Gheorghe Paun, Sheng Yu 

This is an excellent collection of papers dealing with combinatorics on words, codes, semigroups, automata, languages, molecular computing, transducers, logics, etc., related to the impressive work of Gabriel Thierrin. This volume is in honor of Professor Thierrin on the occasion of his 80th birthday.

Words Semigroups Transductions 1st Table of contents:

1 Introduction
2 Monoids Generated By Algebraic Closure Operators
3 Some Simple Families of Fuzzy Languages
4 A Technical Lemma
5 The Main Results
6 Concluding Remarks
Mixed Links: A Method for Generating Multi-Stranded Structures in Syntax
1 Preliminary concepts: linguistic units
2 Theoretical basis of mixed links
3 Formalization
4 Features of mixed links
5 Application of the link of level to basic ULPS
6 Analysis of results
7 Systematization of results
8 Analysis of mixed links depending on the syntactic result of the rules
9 Generative power of mixed systems
Liars Demons and Chaos
1 Introduction
2 Liar’s Paradox
3 Three Graphical Techniques: Web Cantor and Dragon
4 Liar as a Demon
5 Contrapositive Half and Minimalist Liars
6 Unidirectional Time-Dependent Liar
7 Bidirectional Time-Dependent Liar
8 Codes
Some Remarks on Hairpin and Loop Languages
1 Introduction
2 Definitions and Basic Properties
3 Hairpin and Loop Excision
4 Further Work
Conditional Grammars with Restrictions by Syntactic Parameters
1 Introduction
2 Definitions
3 Restrictions by the Number of Nonterminals
4 Restrictions by the Number of Productions
On Complete Classes of Directed Graphs
1 Introduction and Basic Notions
2 Penultimately Permutation Complete Digraphs
3 Complete Classes of Directed Graphs
4 Summary and Further Problems
Circularity and Other Invariants of Gene Assembly in Ciliates
1 Introduction
2 DNA Molecules
3 Gene Assembly in Ciliates
4 Examples
5 The Circularity Problem
A Generalization of Kozen’s Axiomatization of the Equational Theory of the Regular Sets
1 Introduction
2 Conway semialgebras
3 The main result
4 Determinization
5 Minimization
6 Proof of the main result
Catenation Closed Pairs and Forest Languages
1 Introduction
2 Forest Languages Related to Catenation Closed Pair
3 Free Properties of Catenation Closed Pairs
4 Forest Languages Related to Regular and Disjunctive Properties
5 Some Well-Known Forest Languages
Valence Grammars with Target Sets
1 Introduction
2 Preliminaries
3 Results
4 Conclusion
On Isomorphic Representations of Monotone Tree and Nondeterministic Tree Automata
1 Introduction
2 Preliminaries
3 Isomorphic Completeness for MR
4 Isomorhic Representation of n.d. Tree Automata
Minimal Recognizers and Syntactic Monoids of DR Tree Languages
1 Introduction
2 General Preliminaries
3 DR Tree Recognizers
4 Path Languages and Path Closures
5 Nerode Path Congruences
6 Syntactic Path Monoids
Visualizing Languages Using Primitive Powers
1 Introduction
2 The Spectral Partition of A+ Induced by a Language L
3 The Support of a Language
4 Languages on a Half Plane
5 The Sketch Parameters of a Language
6 Sketches of Regular Languages
On Sparse OL Languages Over the Binary Alphabet
1 Introduction
2 Definitions and Results
3 Proofs
On Generalized Slenderness of Context-Free Languages
1 Introduction
2 Slenderness
3 Dyck Loops
4 Bounded Languages
5 Characterization of Parikh fc-Poly-Slenderness
6 Decidability
7 Further Generalization
Prehomomorphisms on Locally Inverse *-Semigroups
1 Introduction
2 Prehomomorphisms
Testing Using X-Machine Translations
1 Introduction
2 Finite state machine concepts
3 X-machine concepts
4 The breakpoint test set of X-machines
5 The extended test set of X-machines
6 Conclusions
Some Fundamental Theorems on BCK
A Characterization of Parikh Sets of ETOL Languages in Terms of P Systems
1 Introduction
2 P Systems with Membrane Creation
3 Some Preliminary Remarks
4 Characterizing PsETOL
5 Final Remarks
Disjunctivity
1 Introduction
2 Basic Notions and Notation
3 Algebras and Pointed Algebras
4 Pointed Monoids and Pointed Semigroups
5 Automata
6 Disjunctive Sets and Languages
7 Disjunctive w-Languages
8 Disjunctive Elements
9 Generalization to Other Structures
10 Variants of Disjunctivity
11 Questions
String Operations Suggested by DNA Biochemistry: The Balanced Cut Operation
1 Introduction
2 Language Theory Prerequisites
3 The Balanced Cut Operation
4 Related Operations
How to Generate Binary Codes Using Context-Free Grammars
1 Introduction
2 Basic Notions and Preliminary Results
3 Preliminary Results
4 The Construction of Grammars Generating Kn
Generation and Parsing of Morphism Languages by Uniquely Parallel Parsable Grammars
1 Introduction
2 Preliminaries
3 Parsing Morphism Languages by UPPGs
4 Concluding Remarks
On the Generative Power of Iterated Transduction
1 Introduction
2 Iterated Finite State Sequential Transducers
3 Iterated Transducers and Turing Machines
4 Open Problems
Time-Varying Distributed H Systems of Degree 1 Generate All Recursively Enumerable Languages
1 Introduction
2 Basic Definitions
3 The Main Result
4 Definition of T
5 Checking the Simulation
On the Power of RRWW-Automata
1 Introduction
2 The RRWW-Automaton
3 Some Additional Examples of Languages That Are Accepted by RRWW-Automata
4 Conclusion
A Definition of Parikh Controlled Context-Free Grammars and Some Properties of Them
1 Introduction
2 Preliminaries
3 Parikh Controlled Grammars
4 Bounded and Terminal Independent PcCFG’s and PcRG’s
5 Conclusion
Words Dyck Paths Trees and Bijections
Personal reminiscences about Gabriel Thierrin
1 Introduction
2 A Bijection
3 Average Degree of the Root
4 Average Number of Leaves
5 Average Number of Paths
6 Average Number of Nodes ‘a’
7 Number of Descendants
8 Number of Ascendants
9 Average Height of Elenas
10 Conclusion
Semilattice Amalgams and Semidirect Product
1 Introduction
2 Semilattice Amalgamation
3 Symmetry and the Semidirect Product
Characterization of Finite Automata by the Images and the Kernels of Their Transition Functions
1 Introduction
2 Preliminaries
3 Main Results
Iterated Morphisms with Complementarity on the DNA Alphabet
1 Introduction
2 Basics About Watson-Crick DOL Systems
3 DNA Systems
4 Stability
5 Equivalence Problems
6 Weird Growth
7 Conclusion
Topologies for the Set of Disjunctive w-Words
1 Notation
2 Preliminary Considerations
3 The w-Language of Disjunctive Sequences
4 The Topology of Forbidden Words
5 A Metric Related to Languages

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Tags: Words Semigroups, Transductions, Masami Ito, Gheorghe Paun, Sheng Yu