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RTA
2005
Springer
13 years 12 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, ...
CORR
2007
Springer
80views Education» more  CORR 2007»
13 years 6 months ago
Polygraphs for termination of left-linear term rewriting systems
– We present a methodology for proving termination of left-linear term rewriting systems (TRSs) by using Albert Burroni’s polygraphs, a kind of rewriting systems on algebraic c...
Yves Guiraud
RTA
2010
Springer
13 years 10 months ago
Termination of linear bounded term rewriting systems
For the whole class of linear term rewriting systems and for each integer k, we define k-bounded rewriting as a restriction of the usual notion of rewriting. We show that the k-bo...
Irène Durand, Géraud Sénizerg...
AAECC
2005
Springer
128views Algorithms» more  AAECC 2005»
13 years 6 months ago
The size-change principle and dependency pairs for termination of term rewriting
Abstract In [24], a new size-change principle was proposed to verify termination of functional programs automatically. We extend this principle in order to prove termination and in...
René Thiemann, Jürgen Giesl
CADE
2001
Springer
14 years 6 months ago
Automated Incremental Termination Proofs for Hierarchically Defined Term Rewriting Systems
We propose the notion of rewriting modules in order to provide a structural and hierarchical approach of TRS. We define then relative dependency pairs built upon these modules whic...
Xavier Urbain