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» On the Expressive Power of Monadic Least Fixed Point Logic
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ICALP
2004
Springer
13 years 10 months ago
On the Expressive Power of Monadic Least Fixed Point Logic
Monadic least fixed point logic MLFP is a natural logic whose expressiveness lies between that of first-order logic FO and monadic second-order logic MSO. In this paper we take ...
Nicole Schweikardt
CSL
2003
Springer
13 years 10 months ago
Comparing the Succinctness of Monadic Query Languages over Finite Trees
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 p...
Martin Grohe, Nicole Schweikardt
APAL
2004
87views more  APAL 2004»
13 years 4 months ago
Expressive equivalence of least and inflationary fixed-point logic
We study the relationship between least and inflationary fixed-point logic. In 1986, Gurevich and Shelah proved that in the restriction to finite structures, the two logics have t...
Stephan Kreutzer
LICS
1999
IEEE
13 years 9 months ago
First-Order Logic vs. Fixed-Point Logic in Finite Set Theory
The ordered conjecture states that least fixed-point logic LFP is strictly more expressive than first-order logic FO on every infinite class of ordered finite structures. It has b...
Albert Atserias, Phokion G. Kolaitis
TCS
2002
13 years 4 months ago
Monadic second-order logic on tree-like structures
An operation M which constructs from a given structure M a tree-like structure whose domain consists of the finite sequences of elements of M is considered. A notion of automata r...
Igor Walukiewicz