# On Distributive Fixed-Point Expressions

RAIRO - Theoretical Informatics and Applications (2010)

- Volume: 33, Issue: 4-5, page 427-446
- ISSN: 0988-3754

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topSeidl, Helmut, and Niwiński, Damian. "On Distributive Fixed-Point Expressions." RAIRO - Theoretical Informatics and Applications 33.4-5 (2010): 427-446. <http://eudml.org/doc/222054>.

@article{Seidl2010,

abstract = {
For every fixed-point expression e of alternation-depth r,
we construct a new fixed-point expression e' of alternation-depth 2
and size $\{\cal O\}(r\cdot|e|)$. 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.
},

author = {Seidl, Helmut, Niwiński, Damian},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Fixed-point expressions; distributivity; alternation-depth;
lower bounds.; lower bounds; fixed-point expression},

language = {eng},

month = {3},

number = {4-5},

pages = {427-446},

publisher = {EDP Sciences},

title = {On Distributive Fixed-Point Expressions},

url = {http://eudml.org/doc/222054},

volume = {33},

year = {2010},

}

TY - JOUR

AU - Seidl, Helmut

AU - Niwiński, Damian

TI - On Distributive Fixed-Point Expressions

JO - RAIRO - Theoretical Informatics and Applications

DA - 2010/3//

PB - EDP Sciences

VL - 33

IS - 4-5

SP - 427

EP - 446

AB -
For every fixed-point expression e of alternation-depth r,
we construct a new fixed-point expression e' of alternation-depth 2
and size ${\cal O}(r\cdot|e|)$. 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.

LA - eng

KW - Fixed-point expressions; distributivity; alternation-depth;
lower bounds.; lower bounds; fixed-point expression

UR - http://eudml.org/doc/222054

ER -

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