Formal models, languages and applications

A collection of articles by leading experts in theoretical computer science, this volume commemorates the 75th birthday of Professor Rani Siromoney, one of the pioneers in the field in India. The articles span the vast range of areas that Professor Siromoney has worked in or influenced, including gr...

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Hlavní autori: Subramanian, K. G, Rangarajan, K, Mukund, M
Médium: E-kniha Kniha
Jazyk:English
Vydavateľské údaje: New Jersey World Scientific Publishing Co. Pte. Ltd 2006
World Scientific
World Scientific Publishing Company
WORLD SCIENTIFIC
WSPC
Vydanie:1
Edícia:Series in machine perception and artificial intelligence
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ISBN:9789812568892, 9812568891, 9812773037, 9789812773036
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  • Formal models, languages and applications -- Preface -- Contents -- Chapter 1: Finite Array Automata and Regular Array Grammars/Adrian Atanasiu, K. G. Subramanian, K. Rangarajan and P. S. P. Wang -- Chapter 2: L-Convex Polyominoes: a Survey/Giusi Castiglione and Antonio Restivo -- Chapter 3: On Oriented Labelling Parameters/Daniel Gongalves, Andre Raspaud and M. A. Shalu -- Chapter 4: On a Variant of Parallel Communicating Grammar Systems with Communication by Command/Erzsebet Csuhaj-Varju and Gyorgy Vaszil -- Chapter 5: Some Remarks on Homogeneous Generating Networks of Free Evolutionary Processors/Jurgen Dassow, Carlos Martin-Vide -- Chapter 6: Hexagonal Contextual Array P Systems/K. S. Dersanambika, K. Krithivasan, H. K. Agarwal and J. Gupta -- Chapter 7: A q-Analogue of the Parikh Matrix Mapping/Ömer Eğecioğlu and Oscar H. Ibarra -- Chapter 8: Contextual Array Grammars/Rudolf Freund, Gheorghe Paun, and Grzegorz Rozenberg -- Chapter 9: Characterizing Tractability by Cell-Like Membrane Systems/Miguel A. Gutiérrez-Naranjo, Mario J. Pérez-Jiménez, Agustín Riscos-Núnez, Francisco J. Romero-Campero and Álvaro Romero-Jiménez -- Chapter 10: A Cosmic Muse/Tom Head -- Chapter 11: Sublogarithmically Space-Bounded Alternating One-Pebble Turing Machines with Only Universal States/Katsushi Inoue, Akira Ito and Atsuyuki Inoue -- Chapter 12: Verification of Clock Synchronization in TTP/K. Kalyanasundaram and R. K. Shyamasundar -- Chapter 13: Triangular Pasting System/T. Kalyani, K. Sasikala, V. R. Dare, P. J. Abishaf and T. Robinson -- Chapter 14: Towards Reducing Parallelism in P Systems/Shankara Narayanan Krishna -- Chapter 15: Iteration Lemmata for Rational, Linear, and Algebraic Languages Over Algebraic Structures with Several Binary Operations/Manfred Kudlek -- Chapter 16: The Computational Efficiency of Insertion Deletion Tissue P Systems/K. Lakshmanan -- Chapter 17: Petri Nets, Event Structures and Algebra/Kamal Lodaya -- Chapter 18: Pattern Generation and Parsing by Array Grammars/Kenichi Morita, Jin-Shan Qi and Katsunobu Imai -- Chapter 19: Anchored Concatenation of MSCs/Madhavan Mukund, K. Narayan Kumar, P. S. Thiagarajan and Shaofa Yang -- Chapter 20: Simple Deformation of 4D Digital Pictures/Akira Nakamura -- Chapter 21: Probabilistic Inference in Test Tube and Its Application to Gene Expression Profiles/Yasubumi Sakakibara, Takashi Yokomori -- Chapter 22: On Languages Defined by Numerical Parameters/Arto Salomaa -- Chapter 23: An Application of Regular Tree Grammars/Priti Shankar -- Chapter 24: Digitalization of Kolam Patterns and Tactile Kolam Tools/Shojiro Nagata and Robinson Thamburaj -- Chapter 25: Hexagonal Array Acceptors and Learning/D. G. Thomas, M. H. Begam, N. G. David and Colin de la Higuera -- Chapter 26: Pollard's Rho Split Knowledge Scheme/M. K. Viswanath and K. P. Vidya -- Chapter 27: Characterizations for Some Classes of Codes Defined by Binary Relations/Do Long Van and Kieu Van Hung -- Back Cover
  • Intro -- CONTENTS -- Preface -- Chapter 1 Finite Array Automata and Regular Array Grammars -- 1 Introduction -- 2 Preliminaries -- 3 Finite Array Automata -- 4 Regular Array Languages and Pumping Lemma -- 5 Control on Regular Array grammars -- 6 Final Remarks -- References -- Chapter 2 L-Convex Polyominoes: A Survey -- 1 Introduction -- 2 Definitions and Preliminaries on L-convex Polyominoes -- 3 Discrete Tomography -- 4 L-convex Polyominoes with Respect to Subpicture Order -- 5 Enumerating L-Convex Polyominoes -- References -- Chapter 3 On Oriented Labelling Parameters -- 1 Introduction -- 2 Oriented Vertex Partitioning Problems -- 3 Notation and Terminology -- 4 Two Oriented Variations of L(p g)-Labelling -- 5 Oriented L(p q)-Labelling for Trees -- 6 Oriented L(p 1)-Labelling of Bipartite Graphs -- 7 Oriented L(p 1)-Labelling and the Acyclic Chromatic Number -- 8 L(p q)-Labelling of Oriented Graphs -- 9 Conclusion -- References -- Chapter 4 On a Variant of Parallel Communicating Grammar Systems with Communication by Command -- 1 Introduction -- 2 Basic Notions and Definitions -- 3 On the Power of FCCPC Grammar Systems -- 4 On the Efficiency of FCCPC Grammar Systems -- 5 Final Remarks -- References -- Chapter 5 Some Remarks on Homogeneous Generating Networks of Free Evolutionary Processors -- 1 Introduction -- 2 Basic Definitions -- 3 Computational Power of HGNFEPs -- 4 Conclusion -- References -- Chapter 6 Hexagonal Contextual Array P Systems -- 1 Introduction -- 2 Preliminaries -- 3 External and Internal Hexagonal Array Contextual P Systems -- 4 Contextual Hexagonal Array P Systems with Erased Contexts -- 5 Some Properties of Hexagonal Array Contextual P Systems -- 6 Correspondence between External Array Contextual P Systems and External Hexagonal Array Contextual Grammars with Regular Control -- 7 Concluding Remarks -- References
  • Chapter 14 Towards Reducing Parallelism in P Systems -- 1 Introduction -- 2 Some Language Theory Prerequisites -- 3 Time Dependent Transition P Systems -- 4 The Generative Power -- 5 P Systems with Null Parallelism -- 6 The Generative Power -- References -- Chapter 15 Iteration Lemmata for Rational Linear and Algebraic Languages Over Algebraic Structures with Several Binary Operations -- 1 Introduction -- 2 Systems of Equations -- 3 Normal Forms -- 4. Iteration Lemmata -- References -- Chapter 16 The Computational Efficiency of Insertion Deletion Tissue P Systems -- 1. Introduction -- 2. Insertion-Deletion tP System -- 3. The Efficiency of the System -- 4. Final Remarks -- References -- Chapter 17 Petri Nets Event Structures and Algebra -- 1. Signatures and Terms -- 2. Algebras and Recognizability -- 3. Nets and Algebras -- 4. Congruences -- 5. Event Structures -- References -- Chapter 18 Pattern Generation and Parsing by Array Grammars -- 1. Introduction -- 2. Pattern Generation in Array Grammars -- 3. Generating Connected and Simply-Connected Words by UPAGs -- 4. Concluding Remarks -- References -- Chapter 19 Anchored Concatenation of MSCs -- 1. Introduction -- 2. Message Sequence Charts -- 3. Preliminaries -- 4. MSC Languages of HMSCs -- 5. Closure of HMSCs with Respect to Implied Scenarios -- 6. Conclusions -- References -- Chapter 20 Simple Deformation of 4D Digital Pictures -- 1. Introduction -- 2. Definition -- 3. Main Theorem -- 4. Further Problems -- Acknowledgment -- References -- Chapter 21 Probabilistic Inference in Test Tube and its Application to Gene Expression Profiles -- 1. Introduction -- 2. Evaluation of Boolean Formulae in DNA -- 3. Probabilistic Inference in DNA -- 4. Application to in-vitro Gene Expression Analyses -- 5. Conclusions -- Acknowledgments -- References -- Chapter 22 On Languages Defined by Numerical Parameters
  • 1. Introduction -- 2. Preliminary Considerations -- 3. Basic Definitions -- 4. Useful Reductions -- 5. The Case of a-Separated Words -- 6. Languages Associated with Parikh Matrices -- References -- Chapter 23 An Application of Regular Tree Grammars -- 1. Introduction -- 2. Regular Tree Grammars and Tree Parsing -- 3. Techniques Extending LR-Parsers -- 4. Conclusion -- References -- Chapter 24 Digitalization of Kolam Patterns and Tactile Kolam Tools -- 1. Kolam Patterns -- 2. Picture Language -- 3. Digitalization of Kolam Patterns -- 4. Universal Kolam Cube (UKC/PsyKolo) -- 5. Tactile Kolam Sheets -- 6. Summary -- Acknowledgments -- References -- Chapter 25 Hexagonal Array Acceptors and Learning -- 1. Introduction -- 2. Preliminaries -- 3. Automata for Languages of HREC -- 4. Examples -- 5. Results -- 7. Learning of Recognizable Hexagonal Picture Languages -- Acknowledgments -- References -- Chapter 26 Pollard's Rho Split Knowledge Scheme -- 1. Introduction -- 2. Elliptic Curves -- 3. Pollard's Rho Split Knowledge Scheme -- 4. Wired Payment System -- 5. Conclusion -- References -- Chapter 27 Characterizations for Some Classes of Codes Defined by Binary Relations -- 1. Introduction -- 2. Characterizations -- 3. Maximality -- 4. Supercodes over Two-Letter Alphabets -- References
  • Chapter 7 A q-Analogue of the Parikh Matrix Mapping -- 1 Introduction -- 2 Definitions -- 3 Parikh Matrix Mapping -- 4 q-Counting Scattered Subwords -- 5 Parikh q-Matrix Mapping -- 6 Injectivity Inverse and Further Remarks -- References -- Chapter 8 Contextual Array Grammars -- 1 Introduction -- 2 Array Grammars - Definitions and Examples -- 3 Contextual Array Grammars: Definitions and Examples -- 4 The Power of Contextual Array Grammars -- 5 Contextual Array Grammars and Context-free Array Grammars -- 6 Contextual Array Grammars and Siromoney Matrix Array Grammars -- References -- Chapter 9 Characterizing Tractability by Cell-Like Membrane Systems -- 1 Introduction -- 2 Preliminaries -- 3 Accepting Cell-like Membrane Systems -- 4 Complexity Classes in Cell-like Membrane Systems -- 5 Simulating Turing Machines by P Systems -- References -- Chapter 10 A Cosmic Muse -- 1 Introduction -- 2 Should the Scale of Our Cosmos Intimidate Us? -- 3 The Dimension of the Eternal -- 4 Cosmoscopes -- 5 Are all Eyes the Eyes of G-d? -- 6 Are all I's the I of G-d? -- References -- Chapter 11 Sublogarithmically Space-Bounded Alternating One-Pebble Turing Machines with only Universal States -- 1 Introduction -- 2 Definitions and Notations -- 3 Incomparability with 2-DC -- 4 USPACE Versus ASPACE -- 5 Space Hierarchy -- 6 Closure Property -- 7 Conclusion -- References -- Chapter 12 Verification of Clock Synchronization in TTP -- 1 Introduction -- 2 Time-Triggered Protocol -- 3 Modelling TTP in lustre -- 4 Verification of TTP -- 5 Discussion -- References -- Chapter 13 Triangular Pasting System -- 1 Introduction -- 2 Notation and Preliminaries4 5 -- 3 Two Tabled Triangular Pasting System -- 4 Sequential Tabled Triangular Pasting System -- 5 Symmetric Pasting System -- 6 Basic Puzzle Iso Array Grammar -- 7 Conclusion -- References