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LPAR
2010
Springer
13 years 8 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
LPAR
2010
Springer
13 years 8 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
LPAR
2010
Springer
13 years 8 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
LPAR
2010
Springer
13 years 8 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...
LPAR
2010
Springer
13 years 8 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