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Finitary Compositions of Two-way Finite-State Transductions

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The hierarchy of arbitrary compositions of two-way nondeterministic finite-state transductions collapses when restricted to finitary transductions, i.e., transductions that produce a finite set of outputs for each input. The hierarchy collapses to the class of nondeterministic mso definable transductions, which is inside the second level of that hierarchy. It is decidable whether a composition of two-way nondeterministic finite-state transducers realizes a finitary transduction (i.e., is mso definable).
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111--123
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bibliogr. 20 poz., wykr.
Twórcy
Bibliografia
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  • [16] Maneth, S.: The macro tree transducer hierarchy collapses for functions of linear size increase, in: Proc. FSTTCS'2003 (P. K. Pandya, J. Radhakrishnan, Eds.), Lecture Notes in Computer Science 2914, Springer-Verlag, 2003, 326-337.
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  • [19] Mazurkiewicz, A. W.: Trace theory, in: Petri Nets: Central Models and Their Properties (W. Brauer, W. Reisig, G. Rozenberg, Eds.), Lecture Notes in Computer Science 255, Springer-Verlag, 1987, 279-324.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS5-0014-0006
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