Decision problems for patterns
Journal of Computer and System Sciences
Journal of the ACM (JACM)
Theoretical Computer Science
Handbook of Formal Languages
Semirings, Automata and Languages
Semirings, Automata and Languages
Theoretical Computer Science
Subword histories and Parikh matrices
Journal of Computer and System Sciences
Reconstruction from subsequences
Journal of Combinatorial Theory Series A
CONCUR '08 Proceedings of the 19th international conference on Concurrency Theory
Subword histories and associated matrices
Theoretical Computer Science
Discrete Applied Mathematics
Criteria for the matrix equivalence of words
Theoretical Computer Science
Subword balance, position indices and power sums
Journal of Computer and System Sciences
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This paper introduces the notion of a subword condition and investigates languages defined by them. The special case, where the language reduces to one word, concerns the inference of a sequence from its subsequences. We obtain various characterization and decidability results for languages defined by subword conditions. The results contribute to the theory of Parikh matrices and arithmetizing the study of words. An important notion from early automata theory, that of a quasi-uniform event, plays a central role in our characterization.