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CSL
2009
Springer
13 years 11 months ago
Fixed-Point Definability and Polynomial Time
My talk will be a survey of recent results about the quest for a logic capturing polynomial time. In a fundamental study of database query languages, Chandra and Harel [4] first ra...
Martin Grohe
POPL
2004
ACM
14 years 7 months ago
A logic you can count on
We prove the decidability of the quantifier-free, static fragment of ambient logic, with composition adjunct and iteration, which corresponds to a kind of regular expression langu...
Silvano Dal-Zilio, Denis Lugiez, Charles Meyssonni...
PODS
2004
ACM
139views Database» more  PODS 2004»
14 years 7 months ago
On Preservation under Homomorphisms and Unions of Conjunctive Queries
Unions of conjunctive queries, also known as select-project-join-union queries, are the most frequently asked queries in relational database systems. These queries are definable b...
Albert Atserias, Anuj Dawar, Phokion G. Kolaitis
LICS
2009
IEEE
14 years 2 months ago
Logics with Rank Operators
—We introduce extensions of first-order logic (FO) and fixed-point logic (FP) with operators that compute the rank of a definable matrix. These operators are generalizations o...
Anuj Dawar, Martin Grohe, Bjarki Holm, Bastian Lau...
APAL
2004
87views more  APAL 2004»
13 years 7 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