The First-Order Theory of Ordering Constraints over Feature Trees
Abstrak
The system FT< of ordering constraints over feature trees has been introduced as an extension of the system FT of equality constraints over feature trees. We investigate the first-order theory of FT< and its fragments in detail, both over finite trees and over possibly infinite trees. We prove that the first-order theory of FT< is undecidable, in contrast to the first-order theory of FT which is well-known to be decidable. We show that the entailment problem of FT< with existential quantification is PSPACE-complete. So far, this problem has been shown decidable, coNP-hard in case of finite trees, PSPACE-hard in case of arbitrary trees, and cubic time when restricted to quantifier-free entailment judgments. To show PSPACE-completeness, we show that the entailment problem of FT< with existential quantification is equivalent to the inclusion problem of non-deterministic finite automata. Available at http://www.ps.uni-saarland.de/Publications/documents/FTSubTheory_98.pdf
Topik & Kata Kunci
Penulis (3)
Martin Müller
Joachim Niehren
Ralf Treinen
Akses Cepat
- Tahun Terbit
- 2001
- Sumber Database
- DOAJ
- DOI
- 10.46298/dmtcs.267
- Akses
- Open Access ✓