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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
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
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
IANDC
2006
113views more  IANDC 2006»
13 years 5 months ago
Automata and fixed point logic: A coalgebraic perspective
This paper generalizes existing connections between automata and logic to a coalgestraction level. Let F : Set Set be a standard functor that preserves weak pullbacks. We introdu...
Yde Venema
ICALP
2007
Springer
13 years 11 months ago
Regular Languages of Nested Words: Fixed Points, Automata, and Synchronization
Abstract. Nested words are a restriction of the class of visibly pushdown languages that provide a natural model of runs of programs with recursive procedure calls. The usual conne...
Marcelo Arenas, Pablo Barceló, Leonid Libki...