RESTRICTED SETS OF TRAJECTORIES AND DECIDABILITY OF SHUFFLE DECOMPOSITIONS

Author:

DOMARATZKI MICHAEL1,SALOMAA KAI2

Affiliation:

1. Jodrey School of Computer Science, Acadia University, Wolfville, Nova Scotia B4P 2R6, Canada

2. School of Computing, Queen's University, Kingston, Ontario K7L 3N6, Canada

Abstract

The decidability of the shuffle decomposition problem for regular languages is a long standing open question. We consider decompositions of regular languages with respect to shuffle along a regular set of trajectories and obtain positive decidability results for restricted classes of trajectories. Also we consider decompositions of unary regular languages. Finally, we establish in the spirit of the Dassow-Hinz undecidability result an undecidability result for regular languages shuffled along a fixed linear context-free set of trajectories.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. ORTHOGONAL SHUFFLE ON TRAJECTORIES;International Journal of Foundations of Computer Science;2011-01

2. On Language Decompositions and Primality;Lecture Notes in Computer Science;2011

3. Language Decompositions, Primality, and Trajectory-Based Operations;Implementation and Applications of Automata

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