CeTA swMATH ID: 6584 Software Authors: Thiemann, René; Sternagel, Christian Description: Certification of termination proofs using CeTA. There are many automatic tools to prove termination of term rewrite systems, nowadays. Most of these tools use a combination of many complex termination criteria. Hence generated proofs may be of tremendous size, which makes it very tedious (if not impossible) for humans to check those proofs for correctness.par In this paper we use the theorem prover Isabelle/HOL to automatically certify termination proofs. To this end, we first formalized the required theory of term rewriting including three major termination criteria: dependency pairs, dependency graphs, and reduction pairs. Second, for each of these techniques we developed an executable check which guarantees the correct application of that technique as it occurs in the generated proofs. Moreover, if a proof is not accepted, a readable error message is displayed. Finally, we used Isabelle’s code generation facilities to generate a highly efficient and certified Haskell program, CeTA, which can be used to certify termination proofs without even having Isabelle installed. Homepage: http://cl-informatik.uibk.ac.at/software/ceta/ Programming Languages: Haskell Keywords: Certified Termination Analysis; Isabelle/HOL; Logic in Computer Science; arXiv_cs.LO; proof; term rewrite systems; TRSs Related Software: Isabelle/HOL; Isabelle; Archive Formal Proofs; CoLoR; AProVE; Coq; Tyrolean; HOL; CiME; z3; Haskell; CSI; IsaFoR; Locales; Isar; ML; Sledgehammer; A3PAT; Matchbox; AVATAR Cited in: 46 Publications Further Publications: http://cl-informatik.uibk.ac.at/software/ceta/#publications Standard Articles 2 Publications describing the Software, including 1 Publication in zbMATH Year CeTA - A Tool for Certified Termination Analysis Christian Sternagel, René Thiemann, Sarah Winkler, Harald Zankl 2012 Certification of termination proofs using CeTA. Zbl 1252.68265Thiemann, René; Sternagel, Christian 2009 all top 5 Cited by 59 Authors 17 Thiemann, René 14 Sternagel, Christian 5 Fuhs, Carsten 5 Giesl, Jürgen 5 Nagele, Julian 5 Yamada, Akihisa 4 Blanchette, Jasmin Christian 4 Brockschmidt, Marc 4 Felgenhauer, Bertram 4 Lochbihler, Andreas 4 Middeldorp, Aart 4 Schneider-Kamp, Peter 4 Zankl, Harald 3 Frohn, Florian 3 Joosten, Sebastiaan J. C. 3 Nipkow, Tobias 3 Ströder, Thomas 3 Waldmann, Uwe 2 Aschermann, Cornelius 2 Emmes, Fabian 2 Hensel, Jera 2 Krauss, Alexander 2 Otto, Carsten 2 Plücker, Martin 2 Schlichtkrull, Anders 2 Sternagel, Thomas 2 Swiderski, Stephanie 2 Traytel, Dmitry 1 Alkassar, Eyad 1 Avanzini, Martin 1 Böhme, Sascha 1 Bottesch, Ralph Christian 1 Bulwahn, Lukas 1 Chihani, Zakaria 1 Coquand, Thierry 1 Divasón, Jose 1 Greenaway, David 1 Haftmann, Florian 1 Haslbeck, Max W. 1 Hirokawa, Nao 1 Kaliszyk, Cezary 1 Korp, Martin 1 Kühlwein, Daniel 1 Kusakari, Keiichirou 1 Lammich, Peter 1 Marić, Filip 1 Maximova, Alexandra 1 Mehlhorn, Kurt 1 Miller, Dale Allen 1 Parting, Michael 1 Paulson, Lawrence Charles 1 Petrović, Danijela 1 Rizkallah, Christine 1 Siles, Vincent 1 Swiderski, Stephan 1 Urban, Josef 1 Wand, Daniel 1 Wenzel, Makarius 1 Winkler, Sarah all top 5 Cited in 6 Serials 11 Journal of Automated Reasoning 3 Logical Methods in Computer Science 1 Information and Computation 1 Formal Aspects of Computing 1 Annals of Mathematics and Artificial Intelligence 1 Journal of Logical and Algebraic Methods in Programming all top 5 Cited in 6 Fields 46 Computer science (68-XX) 8 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Geometry (51-XX) Citations by Year