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105
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LPAR
2010
Springer
14 years 10 months ago
Infinite Families of Finite String Rewriting Systems and Their Confluence
We introduce parameterized rewrite systems for describing infinite families of finite string rewrite systems depending upon non-negative integer parameters, as well as ways to reas...
Jean-Pierre Jouannaud, Benjamin Monate
104
Voted
LPAR
2010
Springer
14 years 10 months ago
Satisfiability of Non-linear (Ir)rational Arithmetic
Abstract. We present a novel way for reasoning about (possibly ir)rational quantifier-free non-linear arithmetic by a reduction to SAT/SMT. The approach is incomplete and dedicated...
Harald Zankl, Aart Middeldorp
94
Voted
LPAR
2010
Springer
14 years 10 months ago
Disunification for Ultimately Periodic Interpretations
Abstract. Disunification is an extension of unification to first-order formulae over syntactic equality atoms. Instead of considering only syntactic equality, I extend a disunifica...
Matthias Horbach
114
Voted
LPAR
2010
Springer
14 years 10 months ago
Counting and Enumeration Problems with Bounded Treewidth
By Courcelle's Theorem we know that any property of finite structures definable in monadic second-order logic (MSO) becomes tractable over structures with bounded treewidth. T...
Reinhard Pichler, Stefan Rümmele, Stefan Wolt...
97
Voted
LPAR
2010
Springer
14 years 10 months ago
On Strong Normalization of the Calculus of Constructions with Type-Based Termination
Termination of recursive functions is an important property in proof assistants based on dependent type theories; it implies consistency and decidability of type checking. Type-bas...
Benjamin Grégoire, Jorge Luis Sacchini