My PhD Thesis:   "Models of Tree Translation"



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  1. Models of Tree Translation
  • Introduction
  • Tree Transducers
  • The Generating Power of Tree Transducers
  • MSO Tree Transducers and MTTs of Linear Size Increase
  • Comparison of Pebble Tree Transducers with MTTs
  1. The Generating Power of Total Deterministic Tree Transducers
  • Introduction
  • Preliminaries
  • Top-Down Tree Transducers, Attributed Tree Transducers, and Attribute Grammars
  • Generating Power of Deterministic Top-Down Tree Transducers
  • Term-Generating Power of Attribute Grammars and Attributed Tree Transducers
  • A Hierarchy for the Generating Power of Attributed Tree Transducers
  • Further Research Topics
  1. Output String Languages of Compositions of Deterministic Macro Tree Transducers
  • Introduction
  • Preliminaries
  • Macro Tree Transducers
  • Closure Properties
  • Bridge Theorems
  • The yMTT-Hierarchy and the EDT0L-Hierarchy
  • The IO-Hierarchy
  • Conclusions and Open Problems
  1. Macro Tree Transducers, Attribute Grammars, and MSO Definable Tree Translations
  • Introduction
  • Preliminaries
  • Tree Transducers
  • Top-Down and Attributed Relabelings
  • Single Use Restricted Tree Transducers
  • Finite Copying MTTs
  • Main Result and Consequences
  1. Macro Tree Translations of Linear Size Increase are MSO Definable
  • Introduction
  • Preliminaries
  • Macro Tree Transducers
  • Finite Copying Restrictions
  • Proper Normal Form
  • From Linear Size Increase to Finite Copying
  • Main Results and Consequences
  1. A Comparison of Pebble Tree Transducers with Macro Tree Transducers
  • Introduction
  • Preliminaries
  • Pebble Tree Transducers
  • Decomposition of Pebble Tree Transducers
  • Pebble Tree Transducers and Macro Tree Transducers
  • Pebble Hierarchies for Deterministic PTTs
  • Type Checking
  • Conclusions and Problems