Stretching and jamming of automata

  • Authors:

  • Noud De Beijer;Bruce W. Watson;Derrick G. Kourie

  • Affiliations:

  • Department of Mathematics and Computing Science, Eindhoven University of Technology, Den Dolech 2, Postbus 513, 5600 MB Eindhoven, The Netherlands;FASTAR Research Group, Department of Computer Science, University of Pretoria, Pretoria 0002, South Africa;FASTAR Research Group, Department of Computer Science, University of Pretoria, Pretoria 0002, South Africa

  • Venue:
  • SAICSIT '03 Proceedings of the 2003 annual research conference of the South African institute of computer scientists and information technologists on Enablement through technology
  • Year:
  • 2003

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Abstract

In this paper we present two transformations on automata, called stretching and jamming. These transformations will, under certain conditions, reduce the size of the transition table, and under other conditions reduce the string recognition time. Given a deterministic finite automaton, we can stretch it by transforming each single transition into two or more sequential transitions, thereby introducing additional intermediate states. Jamming is the opposite transformation, in which two or more successive transitions are transformed into a single transition, thereby removing redundant intermediate states.We will present formal definitions of stretching and jamming. We will give algorithms for stretching and jamming and we will calculate theoretical bounds, when stretching/jamming is effective in terms of memory consumption and string recognition time.