Formal languages
Cornerstones of undecidability
Cornerstones of undecidability
The undecidability of some equivalence problems concerning ngsm's and finite substitutions
Theoretical Computer Science
Handbook of formal languages, vol. 1
Journal of Automata, Languages and Combinatorics
The Equivalence of DGSM Replications on Q-Rational Languages is Decidable
ICALP '88 Proceedings of the 15th International Colloquium on Automata, Languages and Programming
Morphisms
Finite Substitutions and Integer Weighted Finite Automata
Finite Substitutions and Integer Weighted Finite Automata
The Mathematical Theory of Context-Free Languages
The Mathematical Theory of Context-Free Languages
A Remark on Code Sets and Context-Free Languages
IEEE Transactions on Computers
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Regular languages are divided into equivalence classes according to the lengths of the words and both the universal and the existential equivalence of rational transductions on the set of these classes is studied. It is shown that the cardinality equivalence problem is undecidable for ε-free finite substitutions. The morphic replication equivalence problem is arithmetized and an application to word equations is presented. Finally, the generalized Post correspondence problem is modified by using a single inverse morphism or a single finite substitution or its inverse instead of two morphisms.