Name
Title | ||
|---|---|---|
The Stuttering Principle Revisited: On the Expressiveness of Nested X and U Operators in the Logic LTL |
Abstract | ||
|---|---|---|
It is known that LTL formulae without the 'next' operator are invariant under the so-called stutter-equivalence of words. In this paper we extend this principle to general LTL formulae with given nesting depths of the 'next' and 'until' operators. This allows us to prove the semantical strictness of three natural hierarchies of LTL formulae, which are parametrized either by the nesting depth of just one of the two operators, or by both of them. As another interesting corollary we obtain an alternative characterization of LTL languages, which are exactly the regular languages closed under the generalized form of stutter equivalence. We also indicate how to tackle the state-space explosion problem with the help of presented results. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1007/3-540-45793-3_19 | CSL |
Keywords | Field | DocType |
ltl language,u operators,nested x,general ltl formula,natural hierarchy,stuttering principle revisited,generalized form,alternative characterization,ltl formula,semantical strictness,interesting corollary,logic ltl,regular language,nesting depth | Discrete mathematics,Concurrency,Equivalence (measure theory),Invariant (mathematics),Operator (computer programming),Linear logic,Temporal logic,Regular language,Corollary,Mathematics | Conference |
Volume | ISSN | ISBN |
2471 | 0302-9743 | 3-540-44240-5 |
Citations | PageRank | References |
5 | 0.55 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Antonín Kucera | 1 | 658 | 55.69 |
| Jan Strejcek | 2 | 99 | 13.83 |