Recognition of Deterministic ETOL Languages in Logarathimic Space

نویسندگان

  • Neil D. Jones
  • Sven Skyum
چکیده

Recently considerable interest has been shown in questions concerning the complexity of the membership problem for various types of L systems3 In van Leeuwen (1975a) it is shown that there is an E T O L system G such that the set L(G) is ~/ '~-complete . Opatrn3~ and Culik (1975) showed that EOL membership could be determined by a D T I M E (n 4) algorithm, and Sudborough (1976) gave a DSPACE((logn) 2) algorithm (based on a construction in van Leeuwen (1975b)). Sudborough also gave a DSPACE(log n) algorithm for membership in any deterministic EOL language. In this paper we show that membership in L(G) for a deterministic E T O L system G may be determined in NSPACE(log n) and hence that L(G) is also recognizable by a deterministic polynomial time algorithm. 2 This indicates that

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عنوان ژورنال:
  • Information and Control

دوره 35  شماره 

صفحات  -

تاریخ انتشار 1977