@inproceedings(ava:mos:08, author = {M. Avanzini and G. Moser}, year = {2008}, title = {Complexity Analysis by Rewriting}, booktitle = {Proc.\ FLOPS}, pages = {130--146}, doi = {10.1007/978-3-540-78969-7_11}, ) @article(baillot:lago:16, author = {P. Baillot and Dal Lago, U.}, year = {2016}, title = {Higher-order interpretations and program complexity}, journal = {IC}, pages = {56--81}, doi = {10.1016/j.ic.2015.12.008}, ) @article(cherifa:lescanne:87, author = {{Ben Cherifa}, A. and P. Lescanne}, year = {1987}, title = {Termination of rewriting systems by polynomial interpretations and its implementation}, journal = {Science of Computer Programming}, volume = {9}, number = {2}, pages = {137--159}, doi = {10.1016/0167-6423(87)90030-X}, ) @article(bonfante:cichon:marion:touzet:01, author = {G. Bonfante and A. Cichon and J.-Y. Marion and H. Touzet}, year = {2001}, title = {Algorithms with polynomial interpretation termination proof}, journal = {Journal of Functional Programming}, volume = {11}, number = {1}, pages = {33–53}, doi = {10.1017/S0956796800003877}, ) @inproceedings(bonfante:et-al:01, author = {G. Bonfante and J. Marion and J. Moyen}, year = {2001}, title = {On Lexicographic Termination Ordering with Space Bound Certifications}, booktitle = {Proc.\ PSI}, pages = {482--493}, doi = {10.1007/3-540-45575-2_46}, ) @inproceedings(cichon:lescanne:92, author = {A. Cichon and P. Lescanne}, year = {1992}, title = {Polynomial interpretations and the complexity of algorithms}, booktitle = {CADE}, pages = {139--147}, doi = {10.1007/3-540-55602-8_161}, ) @article(codish:gonopolskiy:ben-amram:amir:fuhs:giesl:11, author = {M. Codish and I. Gonopolskiy and Ben-Amram, A. M. and C. Fuhs and J. Giesl}, year = {2011}, title = {SAT-based termination analysis using monotonicity constraints over the integers}, journal = {Theory and Practice of Logic Programming}, volume = {11}, number = {4-5}, pages = {503–520}, doi = {10.1017/S1471068411000147}, ) @article(contejan:marche:tomas:urbain:05, author = {E. Contejan and C. Marché and A. P. Tomás and X. Urbain}, year = {2005}, title = {Mechanically Proving Termination Using Polynomial Interpretations}, journal = {JAR}, volume = {34}, number = {34}, doi = {10.1007/s10817-005-9022-x}, ) @article(contejan:tomas:urbain:05, author = {Evelyne Contejean and Claude March{\'e} and Ana Paula Tom{\'a}s and Xavier Urbain}, year = {2005}, title = {Mechanically Proving Termination Using Polynomial Interpretations}, journal = {JAR}, volume = {34}, number = {4}, pages = {325--363}, doi = {10.1007/s10817-005-9022-x}, ) @article(giesl:et-al:17, author = {J. Giesl and C. Aschermann and M. Brockschmidt and F. Emmes and F. Frohn and C. Fuhs and J. Hensel and C. Otto and M. Plucker and Schneider-Kamp, P. and T. Stroder and S. Swiderski and R. Thiemann}, year = {2017}, title = {Analyzing Program Termination and Complexity Automatically with \textsf{AProVE}}, journal = {JAR}, volume = {58}, pages = {3--31}, doi = {10.1007/s10817-016-9388-y}, ) @inproceedings(nao:moser:08, author = {N. Hirokawa and G. Moser}, year = {2008}, title = {Automated Complexity Analysis Based on the Dependency Pair Method}, booktitle = {Proc.\ IJCAR}, pages = {364--379}, doi = {10.1007/978-3-540-71070-7_32}, ) @article(hof:92, author = {D. Hofbauer}, year = {1992}, title = {Termination proofs by multiset path orderings imply primitive recursive derivation lengths}, journal = {Proc.\ TCS}, doi = {10.1007/3-540-53162-9_50}, ) @inproceedings(hof:01, author = {D. Hofbauer}, year = {2001}, title = {Termination Proofs by Context-Dependent Interpretations}, booktitle = {Proc.\ RTA}, pages = {108--121}, doi = {10.1007/3-540-45127-7_10}, ) @inproceedings(hof:lau:89, author = {D. Hofbauer and C. Lautemann}, year = {1989}, title = {Termination proofs and the length of derivations}, booktitle = {Proc.\ RTA}, pages = {167--177}, doi = {10.1007/3-540-51081-8_107}, ) @book(huet:oppen:80, author = {G. Huet and D.C Oppen}, year = {1980}, title = {Equations and rewrite rules: a survey}, series = {Formal Language Theory: Perspectives and Open Problems}, publisher = {Loria}, url = {http://rewriting.loria.fr/documents/CS-TR-80-785.pdf}, ) @inproceedings(kop:vale:21, author = {C. Kop and D. Vale}, year = {2021}, title = {{Tuple Interpretations for Higher-Order Complexity}}, booktitle = {FSCD}, pages = {31:1--31:22}, doi = {10.4230/LIPIcs.FSCD.2021.31}, ) @article(lautemann:88, author = {C. Lautemann}, year = {1988}, title = {A note on polynomial interpretation}, journal = {Bulletin EATCS}, volume = {volume 36}, pages = {129--131}, ) @inproceedings(mitterwallner:aart:22, author = {F. Mitterwallner and A. Middeldorp}, year = {2022}, title = {{Polynomial Termination Over $\mathbb{N}$ Is Undecidable}}, booktitle = {Proc.\ FSCD}, pages = {27:1--27:17}, doi = {10.4230/LIPIcs.FSCD.2022.27}, ) @inproceedings(moser:17, author = {G. Moser}, year = {2017}, title = {{Uniform Resource Analysis by Rewriting: Strengths and Weaknesses (Invited Talk)}}, booktitle = {Proc.\ FSCD}, pages = {2:1--2:10}, doi = {10.4230/LIPIcs.FSCD.2017.2}, ) @inproceedings(moser:schnabl:wadmann:08, author = {G. Moser and A. Schnabl and J. Waldmann}, year = {2008}, title = {{Complexity Analysis of Term Rewriting Based on Matrix and Context Dependent Interpretations}}, booktitle = {Proc.\ IARCS}, pages = {304--315}, doi = {10.4230/LIPIcs.FSTTCS.2008.1762}, ) @inproceedings(noschinski:emmes:jurgen:11, author = {L. Noschinski and F. Emmes and J. Giesl}, year = {2011}, title = {A Dependency Pair Framework for Innermost Complexity Analysis of Term Rewrite Systems}, booktitle = {CADE-23}, pages = {422--438}, doi = {10.1007/978-3-642-22438-6_32}, ) @inproceedings(steinbach:05, author = {J. Steinbach}, year = {1992}, title = {Proving polynomials positive}, booktitle = {In Proc.\ FSTTCS 92}, address = {Berlin, Heidelberg}, pages = {191--202}, doi = {10.1007/3-540-56287-7_105}, ) @article(toyama:87, author = {Yoshihito T.}, year = {1987}, title = {Counterexamples to termination for the direct sum of term rewriting systems}, journal = {Information Processing Letters}, volume = {25}, number = {3}, pages = {141--143}, doi = {10.1016/0020-0190(87)90122-0}, ) @article(weiermann:95, author = {A. Weiermann}, year = {1995}, title = {Termination proofs for term rewriting systems by lexicographic path orderings imply multiply recursive derivation lengths}, journal = {TCS}, doi = {10.1016/0304-3975(94)00135-6}, ) @article(yamada:22, author = {A. Yamada}, year = {2022}, title = {Tuple Interpretations for Termination of Term Rewriting}, journal = {J Autom Reasoning}, doi = {10.1007s10817-022-09640-4}, )