| Issue |
RAIRO-Theor. Inf. Appl.
Volume 33, Number 4-5, July October 1999
|
|
|---|---|---|
| Page(s) | 427 - 446 | |
| DOI | https://doi.org/10.1051/ita:1999101 | |
| Published online | 15 August 2002 | |
On Distributive Fixed-Point Expressions
1
FB IV – Informatik,
Universität Trier,
54286 Trier, Germany
2
Institute of Informatics,
University of Warsaw,
Ul. Banacha 2,
02-097 Warsaw, Poland
Received:
25
November
1998
Revised:
22
April
1999
For every fixed-point expression e of alternation-depth r,
we construct a new fixed-point expression e' of alternation-depth 2
and size 
. Expression e' is equivalent to e
whenever operators are distributive and the underlying
complete lattice has a co-continuous least upper bound. We
alternation-depth but also w.r.t. the increase in size of the
resulting expression.
Mathematics Subject Classification: 68Q60 / 03D70 / 06D99 / 68Q25
Key words: Fixed-point expressions / distributivity / alternation-depth / lower bounds.
© EDP Sciences, 1999
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