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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; HOL; Tyrolean; CiME; Haskell; CSI; z3; IsaFoR; Locales; Isar; ML; Sledgehammer; A3PAT; Matchbox; AVATAR
Referenced in: 45 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 1252.68265
Thiemann, René; Sternagel, Christian
2009

Referencing Publications by Year