# Comparing the succinctness of monadic query languages over finite trees

Martin Grohe; Nicole Schweikardt

RAIRO - Theoretical Informatics and Applications (2010)

- Volume: 38, Issue: 4, page 343-373
- ISSN: 0988-3754

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topGrohe, Martin, and Schweikardt, Nicole. "Comparing the succinctness of monadic query languages over finite trees." RAIRO - Theoretical Informatics and Applications 38.4 (2010): 343-373. <http://eudml.org/doc/92747>.

@article{Grohe2010,

abstract = {
We study the succinctness of monadic second-order logic and a variety
of monadic fixed point logics on trees. All these languages are known to have
the same expressive power on trees, but some can express the same
queries much more succinctly than others. For example, we show that, under
some complexity theoretic assumption, monadic second-order logic is
non-elementarily more succinct than monadic least fixed point logic,
which in turn is non-elementarily more succinct than monadic datalog.
Succinctness of the languages is closely related to the combined and
parameterised complexity of query evaluation for these languages.
},

author = {Grohe, Martin, Schweikardt, Nicole},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {monadic second-order logic; monadic least fixed point logic; full modal mu-calculus; stratified monadic datalog; monadic datalog; finite automata on labelled finite trees},

language = {eng},

month = {3},

number = {4},

pages = {343-373},

publisher = {EDP Sciences},

title = {Comparing the succinctness of monadic query languages over finite trees},

url = {http://eudml.org/doc/92747},

volume = {38},

year = {2010},

}

TY - JOUR

AU - Grohe, Martin

AU - Schweikardt, Nicole

TI - Comparing the succinctness of monadic query languages over finite trees

JO - RAIRO - Theoretical Informatics and Applications

DA - 2010/3//

PB - EDP Sciences

VL - 38

IS - 4

SP - 343

EP - 373

AB -
We study the succinctness of monadic second-order logic and a variety
of monadic fixed point logics on trees. All these languages are known to have
the same expressive power on trees, but some can express the same
queries much more succinctly than others. For example, we show that, under
some complexity theoretic assumption, monadic second-order logic is
non-elementarily more succinct than monadic least fixed point logic,
which in turn is non-elementarily more succinct than monadic datalog.
Succinctness of the languages is closely related to the combined and
parameterised complexity of query evaluation for these languages.

LA - eng

KW - monadic second-order logic; monadic least fixed point logic; full modal mu-calculus; stratified monadic datalog; monadic datalog; finite automata on labelled finite trees

UR - http://eudml.org/doc/92747

ER -

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