| H. Schmitz. Generalized Deterministic Languages and their Automata: A Characterization of Restricted Temporal Logic. April 1999. |
.... testable events (see [BS73, McN74] when relating the dot depth hierarchy and the Straubing Therien hierarchy (as mentioned above, see [Str85] for a levelwise analysis of dot depth one languages (see [Ste85a] also [Sch99b] when studying the notion of generalized deterministic languages (see [Sch99a]) and it was mentioned recently in [TW98] 3 We first look at the family of classes B 3=2;k . With help of a number of closure properties and a series of technical lemmas we prove a useful normalform representation for languages in B 3=2;k . This normalform was known before for the case k = 0 ....
....we require here n 1 which is no restriction since ( Sigma 0 ) k contains only words of length k 1 and hence ( Sigma 0 ) k = S fi2 Sigma 0 ( Sigma 0 ; fi; Sigma 0 ) k . Furthermore, deterministic versions of these languages with requirements of the type ff i 62 Sigma i were studied in [Sch99a]. These generalized deterministic languages were shown to be equal to languages definable by formulas of restricted temporal logic, which in turn are known to correspond to languages having locally R trivial syntactic semigroups and to languages having locally L trivial syntactic semigroups (cf. ....
H. Schmitz. Generalized deterministic languages and their automata: A characterization of restricted temporal logic. Technical Report 226, Inst. fur Informatik, Univ. Wurzburg, 1999. An extended abstract appeared in the Preproceedings of DCAGRS'99, Magdeburg.
....k (L) 9 Summary We summarize the results of the structure of B 1 in Figure 7. Recall that in case k = 0 we deal with the usual concatenation and hence we encounter the Boolean hierarchy over level 1=2 of the Straubing Therien hierarchy. Generalizations of languages in B 1;k were studied in [Sch99a] 24 Acknowledgements. Thanks are due to Christian Glaer for his comments and for reading proofs, and to Klaus W. Wagner, because parts of this paper are generalizations of methods developed in [SW98] for the case k = 0. ....
H. Schmitz. Generalized deterministic languages and their automata: A characterization of restricted temporal logic. Technical Report 226, Inst. fur Informatik, Univ. Wurzburg, 1999. An extended abstract appeared in the Preproceedings of DCAGRS'99, Magdeburg.
No context found.
H. Schmitz. Generalized Deterministic Languages and their Automata: A Characterization of Restricted Temporal Logic. April 1999.
No context found.
H. Schmitz. Generalized Deterministic Languages and their Automata: A Characterization of Restricted Temporal Logic. April 1999.
No context found.
H. Schmitz. Generalized Deterministic Languages and their Automata: A Characterization of Restricted Temporal Logic. April 1999.
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