Name
Abstract | ||
|---|---|---|
In this paper we investigate two purely syntactical notions ofcircularity, which we call ``self-application'' and ``self-inclusion.'' Alanguage containing self-application allows linguistic items to beapplied to themselves. In a language allowing for self-inclusion thereare expressions which include themselves as a proper part. We introduceaxiomatic systems of syntax which include identity criteria andexistence axioms for such expressions. The consistency of these axiomsystems will be shown by providing a variety of different models –these models being our circular languages. Finally we will show what apossible semantics for these circular languages could look like. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1023/B:JLLI.0000028335.19112.1d | Journal of Logic, Language and Information |
Keywords | DocType | Volume |
application,circularity,non-well-founded sets,paradox,syntax | Journal | 13 |
Issue | Citations | PageRank |
3 | 3 | 0.44 |
References | Authors | |
2 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hannes Leitgeb | 1 | 115 | 19.26 |
| Alexander Hieke | 2 | 3 | 0.44 |