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  • In this paper we give a new proof of Richardson's theorem [31]: a global function G(A) of a cellular automaton A is injective if and only if the inverse of G(A) is a global function of a cellular automaton. Moreover, we show a way how to construct the inverse cellular automaton using the method of feasible interpolation from [20]. We also solve two problems regarding complexity of cellular automata formulated by Durand [12].
  • In this paper we give a new proof of Richardson's theorem [31]: a global function G(A) of a cellular automaton A is injective if and only if the inverse of G(A) is a global function of a cellular automaton. Moreover, we show a way how to construct the inverse cellular automaton using the method of feasible interpolation from [20]. We also solve two problems regarding complexity of cellular automata formulated by Durand [12]. (en)
Title
  • Some applications of propositional logic to cellular automata
  • Some applications of propositional logic to cellular automata (en)
skos:prefLabel
  • Some applications of propositional logic to cellular automata
  • Some applications of propositional logic to cellular automata (en)
skos:notation
  • RIV/67985840:_____/09:00380559!RIV13-AV0-67985840
http://linked.open...avai/riv/aktivita
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  • P(IAA1019401), Z(AV0Z10190503)
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  • 6
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  • 342332
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  • RIV/67985840:_____/09:00380559
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  • propositional logic; propositional proof complexity; cellular (en)
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  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [061A4C595E29]
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  • Mathematical Logic Quarterly
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  • 55
http://linked.open...iv/tvurceVysledku
  • Cavagnetto, Stefano
http://linked.open...ain/vavai/riv/wos
  • 000272570100004
http://linked.open...n/vavai/riv/zamer
issn
  • 0942-5616
number of pages
http://bibframe.org/vocab/doi
  • 10.1002/malq.200810008
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