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Word problems requiring exponential time(Preliminary Report)
Abstract
The equivalence problem for Kleene's regular expressions has several effective solutions, all of which are computationally inefficient. In [1], we showed that this inefficiency is an inherent property of the problem by showing that the problem of membership in any arbitrary context-sensitive language was easily reducible to the equivalence problem for regular expressions. We also showed that with a squaring abbreviation ( writing (E)2 for E×E) the equivalence problem for expressions required computing space exponential in the size of the expressions.
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The complexity of theorem-proving procedures
Cook, S. A. (1971) · Proceedings of the third annual ACM symposium on Theory of computing - STOC '71 · doi:10.1145/800157.805047 · Cited by 6,385
Cited by
The Complexity of Markov Decision Processes
Papadimitriou, C. H., & Tsitsiklis, J. N. (1987) · Mathematics of Operations Research · doi:10.1287/moor.12.3.441 · Cited by 1,329
Parity, circuits, and the polynomial-time hierarchy
Furst, M., Saxe, J. B., & Sipser, M. (1984) · Mathematical Systems Theory · doi:10.1007/bf01744431 · Cited by 938
A survey of recent advances in SAT-based formal verification
Prasad, M. R., Biere, A., & Gupta, A. (2005) · International Journal on Software Tools for Technology Transfer · doi:10.1007/s10009-004-0183-4 · Cited by 279
Metadata
- Authors
- Stockmeyer, L. J., & Meyer, A. R.
- Venue
- Proceedings of the fifth annual ACM symposium on Theory of computing - STOC '73
- Publisher
- ACM Press
- Published
- 1973
- Pages
- 1-9
- OpenAlex
- W1998084650
- Cited by
- 871
- References
- 1
- FWCI
- 13.92
- Type
- conference paper
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Word problems requiring exponential time(Preliminary Report). https://app.cochat.ai/papers/10.1145/800125.804029
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- Stockmeyer, L. J., & Meyer, A. R. (1973). Word problems requiring exponential time(Preliminary Report). Proceedings of the fifth annual ACM symposium on Theory of computing - STOC '73. https://doi.org/10.1145/800125.804029
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