Reversible pushdown transducers

被引:0
|
作者
Guillon, Bruno [1 ]
Kutrib, Martin [2 ]
Malcher, Andreas [2 ]
Prigioniero, Luca [2 ,3 ]
机构
[1] Univ Clermont Auvergne, LIMOS, Aubiere, France
[2] Univ Giessen, Inst Informat, Arndtstr 2, D-35392 Giessen, Germany
[3] Univ Milan, Dipartimento Informat, Via Celoria 18, I-20133 Milan, Italy
关键词
Pushdown transducers; Reversible computations; Computational capacity; Transduction hierarchies;
D O I
10.1016/j.ic.2021.104813
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Deterministic pushdown transducers are studied with respect to their ability to compute reversible transductions, that is, to transform inputs into outputs in a reversible way. This means that the transducers are also backward deterministic and thus are able to uniquely step the computation back and forth. The families of transductions computed are classified with regard to four types of length-preserving transductions as well as to the property of working reversibly. It turns out that accurate to one case separating witness transductions can be provided. For the remaining case it is possible to establish the equivalence of both families by proving that stationary moves can always be removed in length-preserving reversible pushdown transductions. (C) 2021 Elsevier Inc. All rights reserved.
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页数:16
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