About: Lambda-Confluence Is Undecidable for Clearing Restarting Automata     Goto   Sponge   NotDistinct   Permalink

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Description
  • Clearing restarting automata are based on contextual rewriting. A word w is accepted by an automaton of this type if there is a computation that reduces the word w to the empty word Î}} by a finite sequence of rewritings. Accordingly, the word problem for a clearing restarting automaton can be solved nondeterministically in quadratic time. If, however, the contextual rewritings happen to be Î}}-confluent, that is, confluent on the congruence class of the empty word, then the word problem can be solved deterministically in linear time. Here we show that, unfortunately, Î}}-confluence is not even recursively enumerable for clearing restarting automata. This follows from the fact that Î}}-confluence is not recursively enumerable for finite factor-erasing string-rewriting systems.
  • Clearing restarting automata are based on contextual rewriting. A word w is accepted by an automaton of this type if there is a computation that reduces the word w to the empty word Î}} by a finite sequence of rewritings. Accordingly, the word problem for a clearing restarting automaton can be solved nondeterministically in quadratic time. If, however, the contextual rewritings happen to be Î}}-confluent, that is, confluent on the congruence class of the empty word, then the word problem can be solved deterministically in linear time. Here we show that, unfortunately, Î}}-confluence is not even recursively enumerable for clearing restarting automata. This follows from the fact that Î}}-confluence is not recursively enumerable for finite factor-erasing string-rewriting systems. (en)
Title
  • Lambda-Confluence Is Undecidable for Clearing Restarting Automata
  • Lambda-Confluence Is Undecidable for Clearing Restarting Automata (en)
skos:prefLabel
  • Lambda-Confluence Is Undecidable for Clearing Restarting Automata
  • Lambda-Confluence Is Undecidable for Clearing Restarting Automata (en)
skos:notation
  • RIV/00216208:11320/13:10145557!RIV14-GA0-11320___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP103/10/0783)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
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  • 84237
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/13:10145557
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • limited context restarting automaton; factor-erasing string-rewriting system; Clearing restarting automaton; lamda-confluence (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [B6AFE7F7C419]
http://linked.open...v/mistoKonaniAkce
  • Halifax, Kanada
http://linked.open...i/riv/mistoVydani
  • Berlin
http://linked.open...i/riv/nazevZdroje
  • Implementation and Application of Automata
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http://linked.open...vavai/riv/projekt
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http://linked.open...iv/tvurceVysledku
  • Mráz, František
  • Otto, Friedrich
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
issn
  • 0302-9743
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-39274-0_23
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
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  • 978-3-642-39273-3
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  • 11320
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