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It can indeed be alternatively defined using deterministic two-way finite state trans- ducers (2DFT), using Monadic Second-Order graph transductions interpreted.
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Mar 29, 2021 · We introduce a notion of aperiodicity for these transducers and we show that aperiodic transducers correspond exactly to FO-transductions. This ...
Regular string-to-string functions enjoy a nice triple characterization through determinis- tic two-way transducers (2DFT), streaming string transducers ...
... aperiodic transducers, in the sense that if the two input transducers are aperiodic, then we can construct an aperiodic transducer realizing the composition.
We've successfully built transducers for the Penrose tilings (both P2 and P3), and for the Spectre tiling. But we haven't tackled the hat tiling ...
Abstract. Regular string-to-string functions enjoy a nice triple charac- terization through deterministic two-way transducers (2DFT), streaming.
Lack of compositionality: {x ∈ M | ∃n ∈ N : xn = xn+1} not a submonoid. =⇒ lack of locality: aperiodicity cannot be checked just on the generators.
Jul 12, 2021 · SDRTEs are constructed from simple functions using the combinators unambiguous sum. (deterministic choice), Hadamard product, and unambiguous.
Jun 12, 2015 · In this paper, we give three direct transformations: i) from 1-bounded SST to 2DFT, ii) from 2DFT to copyless SST, and iii) from k-bounded to 1- ...
The notion of aperiodicity for these transducers is introduced and it is shown that aperiodic transducers correspond exactly to FO-transductions.