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» Finite Trees as Ordinals
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TPLP
2008
89views more  TPLP 2008»
14 years 9 months ago
Theory of finite or infinite trees revisited
We present in this paper a first-order axiomatization of an extended theory T of finite or infinite trees, built on a signature containing an infinite set of function symbols and ...
Khalil Djelloul, Thi-Bich-Hanh Dao, Thom W. Fr&uum...
CP
2003
Springer
15 years 3 months ago
Solving Finite Domain Constraint Hierarchies by Local Consistency and Tree Search
We provide a reformulation of the constraint hierarchies (CHs) framework based on the notion of error indicators. Adapting the generalized view of local consistency in semiring-ba...
Stefano Bistarelli, Philippe Codognet, Kin Chuen H...
COMBINATORICS
2007
90views more  COMBINATORICS 2007»
14 years 10 months ago
Distinguishability of Locally Finite Trees
The distinguishing number ∆(X) of a graph X is the least positive integer n for which there exists a function f : V (X) → {0, 1, 2, · · · , n−1} such that no nonidentity ...
Mark E. Watkins, Xiangqian Zhou
LPAR
2001
Springer
15 years 2 months ago
Boolean Functions for Finite-Tree Dependencies
Several logic-based languages, such as Prolog II and its successors, SICStus Prolog and Oz, offer a computation domain including rational trees. Infinite rational trees allow fo...
Roberto Bagnara, Enea Zaffanella, Roberta Gori, Pa...
CSL
2003
Springer
15 years 3 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