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APAL
2004
87views more  APAL 2004»
13 years 6 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
14 years 5 days 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 11 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 6 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
14 years 29 days 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...