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LATIN
2004
Springer
13 years 10 months ago
Complementation of Rational Sets on Scattered Linear Orderings of Finite Rank
In a preceding paper [6], automata have been introduced for words indexed by linear orderings. These automata are a generalization of automata for finite, infinite, bi-infinite...
Olivier Carton, Chloe Rispal
CADE
2006
Springer
13 years 9 months ago
A Sufficient Completeness Checker for Linear Order-Sorted Specifications Modulo Axioms
We present a tool for checking the sufficient completeness of linear, order-sorted equational specifications modulo associativity, commutativity, and identity. Our tool treats this...
Joe Hendrix, José Meseguer, Hitoshi Ohsaki
MFCS
2001
Springer
13 years 9 months ago
Automata on Linear Orderings
We consider words indexed by linear orderings. These extend finite, (bi-)infinite words and words on ordinals. We introduce finite automata and rational expressions for these w...
Véronique Bruyère, Olivier Carton
FOSSACS
2011
Springer
12 years 8 months ago
A Practical Linear Time Algorithm for Trivial Automata Model Checking of Higher-Order Recursion Schemes
The model checking of higher-order recursion schemes has been actively studied and is now becoming a basis of higher-order program verification. We propose a new algorithm for tri...
Naoki Kobayashi
TCS
2010
13 years 1 days ago
Factorization forests for infinite words and applications to countable scattered linear orderings
The theorem of factorization forests of Imre Simon shows the existence of nested factorizations -- `a la Ramsey -- for finite words. This theorem has important applications in sem...
Thomas Colcombet