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169
Voted
RTA
2005
Springer
15 years 10 months ago
On Tree Automata that Certify Termination of Left-Linear Term Rewriting Systems
We present a new method for proving termination of term rewriting systems automatically. It is a generalization of the match bound method for string rewriting. To prove that a term...
Alfons Geser, Dieter Hofbauer, Johannes Waldmann, ...
RTA
2005
Springer
15 years 10 months ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner
149
Voted
RTA
2005
Springer
15 years 10 months ago
Orderings for Innermost Termination
Abstract. This paper shows that the suitable orderings for proving innermost termination are characterized by the innermost parallel monotonicity, IP-monotonicity for short. This p...
Mirtha-Lina Fernández, Guillem Godoy, Alber...
130
Voted
RTA
2005
Springer
15 years 10 months ago
Proving Positive Almost-Sure Termination
Abstract In order to extend the modeling capabilities of rewriting systems, it is rather natural to consider that the firing of rules can be subject to some probabilistic laws. Co...
Olivier Bournez, Florent Garnier
121
Voted
RTA
2005
Springer
15 years 10 months ago
Abstract Modularity
Michael Abbott, Neil Ghani, Christoph Lüth
Theoretical Computer Science
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