TY - GEN
T1 - Proving termination using recursive path orders and SAT solving
AU - Schneider-Kamp, Peter
AU - Thiemann, René
AU - Annov, Elena
AU - Codish, Michael
AU - Giesl, Jürgen
PY - 2007/1/1
Y1 - 2007/1/1
N2 - We introduce a propositional encoding of the recursive path order with status (RPO). RPO is a combination of a multiset path order and a lexicographic path order which considers permutations of the arguments in the lexicographic comparison. Our encoding allows us to apply SAT solvers in order to determine whether a given term rewrite system is RPO-terminating. Furthermore, to apply RPO within the dependency pair framework, we combined our novel encoding for RPO with an existing encoding for argument filters. We implemented our contributions in the termination prover AProVE. Our experiments show that due to our encoding, combining termination provers with SAT solvers improves the performance of RPO-implementations by orders of magnitude.
AB - We introduce a propositional encoding of the recursive path order with status (RPO). RPO is a combination of a multiset path order and a lexicographic path order which considers permutations of the arguments in the lexicographic comparison. Our encoding allows us to apply SAT solvers in order to determine whether a given term rewrite system is RPO-terminating. Furthermore, to apply RPO within the dependency pair framework, we combined our novel encoding for RPO with an existing encoding for argument filters. We implemented our contributions in the termination prover AProVE. Our experiments show that due to our encoding, combining termination provers with SAT solvers improves the performance of RPO-implementations by orders of magnitude.
UR - http://www.scopus.com/inward/record.url?scp=38049083693&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-74621-8_18
DO - 10.1007/978-3-540-74621-8_18
M3 - Conference contribution
AN - SCOPUS:38049083693
SN - 9783540746201
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 267
EP - 282
BT - Frontiers of Combining Systems - 6th International Symposium, FroCoS 2007, Proceedings
PB - Springer Verlag
T2 - 6th International Symposium on Frontiers of Combining Systems, FroCoS 2007
Y2 - 10 September 2007 through 12 September 2007
ER -