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#26 (May 4, 2023, 2:11:51 PM)

Changes
  1. merged (detail / hgweb)
  2. Some hyphens that should be en dashes (detail / hgweb)
  3. slightly refine WPO-definition
    - previous formalization of WPO deviated a bit to paper version (requiring less computation)
    - both versions are equivalent whenever order in parameter is strongly normalizing
    - however, this is no longer true for co-WPO, a variant of WPO with non strongly normalizing orders
    - consequence: change formalization so that it is more closely related to paper version,
      so that also results on coWPO can be proven (detail / hgweb)
  4. merged (detail / hgweb)
  5. no "open" of ML structures: it makes sources unmaintainable; (detail / hgweb)
  6. adapted to Isabelle/5db014c36f42; (detail / hgweb)
  7. adapted to Isabelle/f4cd6e3b5075; (detail / hgweb)
  8. adapted to Isabelle/5db014c36f42; (detail / hgweb)
  9. This file should have been removed in the previous commit. (detail / hgweb)
  10. Sync with my development repo.  Main changes related to CartesianMonoidalCategory. (detail / hgweb)
  11. update timing; (detail / hgweb)
  12. eliminated pointless parallelism: approx. 1.3s as plain sequential ML; (detail / hgweb)
  13. tuned; (detail / hgweb)
  14. alternative version by Manuel Eberl, following the approach of Isabelle2022/src/HOL/Tools/sat.ML with one big hyp; (detail / hgweb)
  15. adapted to Isabelle/c274f52b11ff; (detail / hgweb)
  16. Backed out changeset a537fb4c92af (detail / hgweb)
  17. slightly faster thanks to Thm.shared_context from Isabelle/4f9117e6020d; (detail / hgweb)
  18. merged (detail / hgweb)
  19. moved lemma to FDS exercises (detail / hgweb)
  20. Fix proofs broken by previous commit. (detail / hgweb)
  21. Add congurence rule for bind_tm in Root_Balanced_Tree.Time_Monad

    The rule is necessary for the termination proof of some recursive functions
    over the time monad. (detail / hgweb)
  22. tuned; (detail / hgweb)
  23. tuned; (detail / hgweb)
  24. eliminated aliases: prefer existing Thm.elim_implies; (detail / hgweb)
  25. tuned; (detail / hgweb)
  26. more standard use of structure Unsynchronized; (detail / hgweb)
  27. tuned whitespace; (detail / hgweb)
  28. not unused! (detail / hgweb)
  29. Added running time analysis (detail / hgweb)
  30. some remarks on division (detail / hgweb)
  31. clarified scope of document (detail / hgweb)
  32. no subsection without section (detail / hgweb)
  33. merged (detail / hgweb)
  34. Deleted library material (detail / hgweb)
  35. adapted to Isabelle/b43ee37926a9; (detail / hgweb)
  36. merged (detail / hgweb)
  37. adapted to Isabelle/13cee8c2ed8d; (detail / hgweb)
  38. Add related entry for Combinatorial_Enumeration_Algorithms.

    Note: I followed APA style guide for the reference. https://apastyle.apa.org/style-grammar-guidelines/references/examples/published-dissertation-references
    Note: Ran sitegen. (detail / hgweb)
  39. small simplifications (detail / hgweb)
  40. shortened some parts of Huffman proof using Sledgehammer (detail / hgweb)
  41. added another simplification rule when alternatives are equal (detail / hgweb)
  42. added more simplification rules involving Zero (detail / hgweb)
  43. adapted to Isabelle/4a174bea55e2; (detail / hgweb)
  44. uodated map update syntax (detail / hgweb)
  45. Adjusted to changes in distribution. (detail / hgweb)
  46. more realistic timeout; (detail / hgweb)
  47. avoid hardwired documents;
    tuned whitespace; (detail / hgweb)
  48. merged (detail / hgweb)
  49. simplified a few proofs (detail / hgweb)
  50. added character sets to the extension directory of regular expressions (detail / hgweb)
  51. more syntax adjustments (detail / hgweb)
  52. more syntax update for map update syntax (detail / hgweb)
  53. more map update syntax updates (detail / hgweb)
  54. merged (detail / hgweb)
  55. updated to new map update syntax priorities (detail / hgweb)
  56. Some simplifications of proofs (detail / hgweb)
  57. Minor refinements (detail / hgweb)
  58. tiny simplifications (detail / hgweb)
  59. tidied another file (detail / hgweb)
  60. tidied a bit more (detail / hgweb)
  61. merged (detail / hgweb)
  62. More tidying (detail / hgweb)
  63. completed the addtion of Rec in the Extension directory (detail / hgweb)
  64. added another regular expression for Record (detail / hgweb)
  65. More tidying of the Ordinal entry (detail / hgweb)
  66. A massive tidying (detail / hgweb)
  67. Tiny bit more tidying (detail / hgweb)
  68. more robust: allow optional arguments in isabelle.Progress.echo; (detail / hgweb)
  69. More tidying (detail / hgweb)
  70. merged (detail / hgweb)
  71. Suppression of duplicate syntax for abs_summable_on, etc. (detail / hgweb)
  72. No more sorted_take, sorted_drop (detail / hgweb)
  73. Update entries MDP-Rewards and MDP-Algorithms (detail / hgweb)
  74. Migration of material from Jordan_Hoelder to HOL-Algebra (detail / hgweb)
  75. merged (detail / hgweb)
  76. Tidied up some messy proofs (detail / hgweb)
  77. Adjustments for the new infix status of has_sum (detail / hgweb)
  78. A tiny spelling correction (detail / hgweb)
  79. merged (detail / hgweb)
  80. A little more migration (detail / hgweb)
  81. Backed out changeset fa59c080cb3b (detail / hgweb)
  82. Backed out changeset 811f0b8d4f58 (detail / hgweb)
  83. tuned metis call to avoid obscure feature (detail / hgweb)
  84. merged (detail / hgweb)
  85. Migration of material to the repository and necessary modifications (detail / hgweb)
  86. more map_of adaptions (detail / hgweb)
  87. adapted to new List.map_of (detail / hgweb)
  88. update Real_Time_Deque (detail / hgweb)
  89. Removal of a stray sledgehammer command (detail / hgweb)
  90. explicit range types in abstractions (detail / hgweb)
  91. somehow more clear terminology (detail / hgweb)
  92. merged (detail / hgweb)
  93. Some tidying and moving some material to the distribution (detail / hgweb)
  94. Deleted use of Euclidean_Division (detail / hgweb)
  95. Repaired session name (detail / hgweb)
  96. "Repaired boundary behaviour of mod+- for even modulus, Added locale module_spec for possible instantiation of Dilithium" (detail / hgweb)
  97. Update names to match thesis. (detail / hgweb)
  98. proper components base, following "isabelle components -I": downloaded components should be shared for all Isabelle versions; (detail / hgweb)
  99. proper symbolic handle on component resources (see Isabelle/3eb3de867786); (detail / hgweb)
  100. more realistic timeout, based on CPU time; (detail / hgweb)
  101. adapted to Isabelle/9a60c1759543; (detail / hgweb)
  102. more realistic timeout, based on CPU time; (detail / hgweb)
  103. fixed looping proofs (detail / hgweb)
  104. dropped reference to dead clone (detail / hgweb)
  105. removed dead clone (detail / hgweb)
  106. modernized (detail / hgweb)
  107. Modernized. (detail / hgweb)
  108. More instances. (detail / hgweb)
  109. Tuned whitespace. (detail / hgweb)
  110. Updated references. (detail / hgweb)
  111. More correct references. (detail / hgweb)
  112. Removed a bit of unnecessary material (detail / hgweb)
  113. merged (detail / hgweb)
  114. Shortened several messy proofs (detail / hgweb)
  115. Fix name clash in Frequency_Moments. (detail / hgweb)
  116. Fixed a name clash (detail / hgweb)
  117. Moving more material to the distribution (detail / hgweb)
  118. Moving some material to the main repository (detail / hgweb)
  119. adapted to db93f67a; (detail / hgweb)
  120. merged (detail / hgweb)
  121. generalized theory name: euclidean division denotes one particular division definition on integers (detail / hgweb)
  122. more efficient specification (detail / hgweb)
  123. merge from afp-2022 (detail / hgweb)
  124. metadata for Suppes' theorem + sitegen (detail / hgweb)
  125. new entry: Suppes' Theorem (detail / hgweb)
  126. new entry HoareForDivergence (detail / hgweb)
  127. tuned css; (detail / hgweb)
  128. metadat for StrictOmegaCategories (detail / hgweb)
  129. new entry StrictOmegaCategories (detail / hgweb)
  130. tuned css; (detail / hgweb)
  131. cleanup accidental unused document files; (detail / hgweb)
  132. check ROOTs: add warning-only checks; (detail / hgweb)
  133. tuned; (detail / hgweb)
  134. add ROOT checks for document presence and unused files; (detail / hgweb)
  135. afp-submit visual improvements; (detail / hgweb)
  136. update bibtex example; (detail / hgweb)
  137. new doi (detail / hgweb)
  138. sitegen for AOT (detail / hgweb)
  139. merged (detail / hgweb)
  140. New entry AOT (detail / hgweb)
  141. New entry: Propositional_Logic_Class (detail / hgweb)
  142. sitegen for Cook_Levin (detail / hgweb)
  143. New entry Cook_Levin (detail / hgweb)
  144. Sorry — extra files for Boolos_Curious_Inference_Automated (detail / hgweb)
  145. Metadata for /Users/lp15/.isabelle/Isabelle2022/browser_info/AFP/Boolos_Curious_Inference_Automated (detail / hgweb)
  146. New entry Boolos_Curious_Inference_Automated (detail / hgweb)
  147. New entry: Synthetic_Completeness (detail / hgweb)
  148. New entry: Quantifier_Elimination_Hybrid (detail / hgweb)
  149. New entry Birkhoff_Finite_Distributive_Lattices (detail / hgweb)
  150. sitegen for Kneser_Cauchy_Davenport (detail / hgweb)
  151. metadata for Kneser_Cauchy_Davenport (detail / hgweb)
  152. new entry: Kneser_Cauchy_Davenport (detail / hgweb)
  153. sitegen for Turan (detail / hgweb)
  154. added metadata for Turans graph theorem (detail / hgweb)
  155. new entry: Turans Graph Theorem (detail / hgweb)
  156. new entry Multitape_To_Singletape_TM (detail / hgweb)
  157. removed static pages from rss feed; (detail / hgweb)
  158. Minor rerating of the abstract of Sauer_Shelah_Lemma (detail / hgweb)
  159. sitegen for /Users/lp15/.isabelle/Isabelle2022/browser_info/AFP/Sauer_Shelah_Lemma (detail / hgweb)
  160. New entry Sauer_Shelah_Lemma (detail / hgweb)
  161. sitegen for the aforementioned changes (detail / hgweb)
  162. adjustments to the abstract, requested by the author (detail / hgweb)
  163. CHERI-C_Memory_Model patch & metadata (detail / hgweb)
  164. New submission CHERI-C_Memory_Model (detail / hgweb)
  165. updated docs; (detail / hgweb)
  166. improve page layout slightly; (detail / hgweb)
  167. fixed broken abstract for PAPP_Impossibility (detail / hgweb)
  168. remove dead code (detail / hgweb)
  169. metadata and sitegen for PAPP_Impossibility (detail / hgweb)
  170. new entry PAPP_Impossibility (detail / hgweb)
  171. remove old .sitegen-ignore and mention AFP chapter in submission guidelines; (detail / hgweb)
  172. afp_check_roots: proper error message printing; (detail / hgweb)
  173. metadata and sitegen for Balog_Szemeredi_Gowers (detail / hgweb)
  174. new entry: Balog_Szemeredi_Gowers (detail / hgweb)
  175. tuned check names; (detail / hgweb)
  176. make check roots tool less dependent on AFP structure; (detail / hgweb)
  177. tuned; (detail / hgweb)
  178. web for Combinatorial_Enumeration_Algorithms (detail / hgweb)
  179. sitegen for Combinatorial_Enumeration_Algorithms (detail / hgweb)
  180. New entry Combinatorial_Enumeration_Algorithms (detail / hgweb)
  181. fix duplicate affiliations from author and notify; (detail / hgweb)
  182. add metadata check tool to sitegen; (detail / hgweb)
  183. update check tools: add formatting checks, new cmd options; (detail / hgweb)
  184. check for entries instead of session due to session nesting allowed in entries; (detail / hgweb)
  185. added unused thy check; (detail / hgweb)
  186. clarified check roots tool; (detail / hgweb)
  187. afp-submit: tuned logging; (detail / hgweb)
  188. afp-submit: encode new notify addresses properly; (detail / hgweb)
  189. afp-submit: correct build status on empty file; (detail / hgweb)
  190. afp-submit: remove padding on select; (detail / hgweb)
  191. re-format metadata; (detail / hgweb)
  192. afp-submit: update on correct status change; (detail / hgweb)
  193. afp-submit: clarified date format, tuned logging; (detail / hgweb)
  194. switch fonts to www prefixed isa-afp.org domain; (detail / hgweb)
  195. switch to www prefixed isa-afp.org domain; (detail / hgweb)
  196. clarified afp-submit error handling; (detail / hgweb)
  197. clarified afp-submit creation and message; (detail / hgweb)
  198. list submission system website; (detail / hgweb)
  199. afp-submit: clarified api urls; (detail / hgweb)
  200. Removal of more unused material (detail / hgweb)
  201. Small simplifications. Removed a needless assumption. (detail / hgweb)
  202. isabelle update -u cite; (detail / hgweb)
  203. more accurate root.bib, based on original \bibitem entries in root.tex 1a42ddd5dbbc; (detail / hgweb)
  204. Fixed the bib issues and supplied a root.bib based on the one in Types_Tableaus_and_Goedels_God (by the same author) (detail / hgweb)
  205. merged (detail / hgweb)
  206. Added the missing .bib file (detail / hgweb)
  207. proper bib context for formal citations, although there is no document; (detail / hgweb)
  208. back to unchecked \cite: entry lacks .bib file; (detail / hgweb)
  209. back to unchecked \cite: entry lacks .bib file; (detail / hgweb)
  210. back to unchecked \cite: there is entry lacks .bib file; (detail / hgweb)
  211. proper citation; (detail / hgweb)
  212. merged (detail / hgweb)
  213. added lemmas image_grounding_of_cls_grounding_of_cls and grounding_of_clss_grounding_of_clss[simp] (detail / hgweb)
  214. merged (detail / hgweb)
  215. isabelle update -u cite; (detail / hgweb)
  216. merged (detail / hgweb)
  217. consistent casing in \cite (detail / hgweb)
  218. ETTS: updated bibliography and citations (detail / hgweb)
  219. merged (detail / hgweb)
  220. more correct and complete citations; (detail / hgweb)
  221. unchecked \cite for unidentifiable citation; (detail / hgweb)
  222. proper @{cite} syntax; (detail / hgweb)
  223. isabelle update -u cite; (detail / hgweb)
  224. Updating Risk Free Lending Entry

      - Adding lemma for transfers in special case
      - Fixing grammar in abstract
      - Adding citation (detail / hgweb)
  225. added bibliography to ROOT; (detail / hgweb)
  226. CTR and ETTS: several amendments (fact names, printing, presentation) (detail / hgweb)
  227. Removed a reference to the (redundant) wf_restr (detail / hgweb)
  228. added bibliographies to ROOTs; (detail / hgweb)
  229. Changes for generalised lemmas (detail / hgweb)
  230. Changes for generalised lemmas (detail / hgweb)
  231. Generalised Lemmas (detail / hgweb)
  232. merged (detail / hgweb)
  233. adapted to Isabelle/c9e091867206 (detail / hgweb)
  234. tuned; (detail / hgweb)
  235. tuned signature, following Isabelle/947510ce4e36; (detail / hgweb)
  236. adapted to Isabelle/25900fbea7ad;
    fewer clones of Isabelle sources; (detail / hgweb)
  237. adapted to Isabelle/b61ad889dffa (detail / hgweb)
  238. removed Restricted_Predicates.transp_on following the introduction of equivalent Relation.transp_on in HOL (detail / hgweb)
  239. merged (detail / hgweb)
  240. adapted to Isabelle/d33fc5228aae (detail / hgweb)
  241. fixed proof following Isabelle/66cae055ac7b (detail / hgweb)
  242. merge (detail / hgweb)
  243. adapted to Isabelle/c48fe2be847f (detail / hgweb)
  244. enable -no-pie for CakeML (detail / hgweb)
  245. fixed proofs and removed duplicates following Isabelle/e65a50f6c2de (detail / hgweb)
  246. tuned proofs to use asymI, asymD, asympI, and asympD (detail / hgweb)
  247. Fix failing continuous integration (detail / hgweb)
  248. fixed proof following Isabelle/8fff4e4d81cb (detail / hgweb)
  249. removed Restricted_Predicates.antisymp_on following the introduction of equivalent Relation.antisymp_on in HOL (detail / hgweb)
  250. added lemma imgu_range_vars_subset (detail / hgweb)
  251. Update headers and metadata. (detail / hgweb)
  252. Fix ROOT again (detail / hgweb)
  253. Fix ROOT (detail / hgweb)
  254. Use transfinite induction to prove Lindenbaum's lemma, removing the countable assumption. (detail / hgweb)
  255. Fixed proofs following Isabelle/a7d2a7a737b8 (detail / hgweb)
  256. added lemmas mem_range_varsI and imgu_subst_domain_subset (detail / hgweb)
  257. weakened the definition of redundant_inference (detail / hgweb)
  258. removed Restricted_Predicates.irreflp_on following the introduction of equivalent Relation.irreflp_on in HOL (detail / hgweb)
  259. fixed Containers following introduction of irrefl_on (detail / hgweb)
  260. added lemmas ex_unify_if_unifiers_not_empty, ex_mgu_if_unifiers_not_empty, and imgu_range_vars_of_equations_vars_subset (detail / hgweb)
  261. name change (detail / hgweb)
  262. AFP and DBLP (detail / hgweb)
  263. merged (detail / hgweb)
  264. added lemmas subst_range_rename_subst_domain_subset and range_vars_rename_subst_domain_subset (detail / hgweb)
  265. added lemma subst_domain_rename_subst_domain_subset (detail / hgweb)
  266. added lemma image_the_Var_image_subst_renaming_eq (detail / hgweb)
  267. Added acknowledgements (detail / hgweb)
  268. Added code export to ROOT (detail / hgweb)
  269. Removed out of place code (detail / hgweb)
  270. tuned lemma subst_domain_restrict_subst_domain (detail / hgweb)
  271. added lemmas rename_subst_domain_range_Var_lhs[simp] and rename_subst_domain_range_Var_rhs[simp] (detail / hgweb)
  272. added attribute [simp] to lemma rename_subst_domain_Var_rhs (detail / hgweb)
  273. added lemmas inj_on_Var[simp] and rename_subst_domain_Var_lhs[simp] (detail / hgweb)
  274. merged (detail / hgweb)
  275. removed Restricted_Predicates.reflp_on following the introduction of equivalent Relation.reflp_on in HOL (detail / hgweb)
  276. removed Restricted_Predicates.total_on following the introduction of equivalent Relation.totalp_on in HOL (detail / hgweb)
  277. added lemmas grounding_of_subst_cls_renaming_ident[simp] and grounding_of_subst_clss_renaming_ident[simp] (detail / hgweb)
  278. added lemmas is_ground_cls_add_mset[simp], grounding_of_subst_cls_subset, and grounding_of_subst_clss_subset (detail / hgweb)
  279. Streamlined a proof (detail / hgweb)
  280. added lemmas (detail / hgweb)
  281. moved lemma around (detail / hgweb)
  282. redefined mgu as a definition (detail / hgweb)
  283. tuned naming (detail / hgweb)
  284. fixed proof (detail / hgweb)
  285. added definition restrict_subst_domain and associated lemmas (detail / hgweb)
  286. tuned (sub)subsection (detail / hgweb)
  287. added lemma member_image_the_Var_image_subst (detail / hgweb)
  288. added lemmas unify_subst_domain_range_vars_disjoint (detail / hgweb)
  289. added lemma unify_range_vars (detail / hgweb)
  290. added lemma unify_subst_domain (detail / hgweb)
  291. added definition rename_subst_domain_range and related lemmas (detail / hgweb)
  292. merged (detail / hgweb)
  293. added lemmas vars_term_subst_apply_term and vars_term_subst_apply_term_subset (detail / hgweb)
  294. Fixed the ROOT file, so that the theory of cardinals is loaded (detail / hgweb)
  295. added lemma ex_mgu_if_subst_apply_term_eq_subst_apply_term (detail / hgweb)
  296. added lemmas unify_append_prefix_same, unify_Cons_same, unify_same, and mgu_same (detail / hgweb)
  297. added lemma decompose_same_Fun[simp] (detail / hgweb)
  298. added lemma zip_option_same[simp] (detail / hgweb)
  299. added definition rename_subst_domain and lemma renaming_cancels_rename_subst_domain (detail / hgweb)
  300. removed simp annotation from subst_apply_term_eq_subst_apply_term_if_mgu (detail / hgweb)
  301. used rho for renamming (detail / hgweb)
  302. tuned assumptions (detail / hgweb)
  303. added lemma subst_apply_term_eq_subst_apply_term_if_mgu (detail / hgweb)
  304. added lemmas inv_renaming_sound and ex_inverse_of_renaming (detail / hgweb)
  305. added lemma subst_apply_term_ident (detail / hgweb)
  306. added lemmas subst_range_Var and range_vars_Var and moved stuff around (detail / hgweb)
  307. added lemma subst_apply_term_subst_apply_term_eq_subst_apply_term_lhs and tuned naming (detail / hgweb)
  308. tuned naming (detail / hgweb)
  309. added lemma mgu_range_vars (detail / hgweb)
  310. added lemma subst_compose_apply_eq_apply_lhs_if (detail / hgweb)
  311. added lemmas is_Var_mgu_if_not_in_equations, ball_is_Var_mgu, and inj_on_mgu (detail / hgweb)
  312. RealTimeDeque: replace `reverseN` with `take_rev (detail / hgweb)
  313. replaced Open_Induction.Restricted_Predicates.total_on by equivalent HOL.Relation.totap_on (detail / hgweb)
  314. merge from afp-2022 (detail / hgweb)
  315. add missing thy files in Sturm_Tarski + repair (detail / hgweb)
  316. afp-submit: style page, improve elements; (detail / hgweb)
  317. afp-submit: added repository updates; (detail / hgweb)
  318. afp-submit: added download and faster file handling; (detail / hgweb)
  319. add submission pages to web ui; (detail / hgweb)
  320. afp-submit: add submission and build status with adapter to existing system; (detail / hgweb)
  321. add user-facing exception handling to web app; (detail / hgweb)
  322. clarified submission handling; (detail / hgweb)
  323. afp-submit: added submission read-only and list views; (detail / hgweb)
  324. add afp-submit web app; (detail / hgweb)
  325. add web app facilities; (detail / hgweb)
  326. RealTimeDeque: Separate implementation and auxiliary functions (detail / hgweb)
  327. Backed out changeset 3a67df508397
    The finite simproc is no longer active by default (detail / hgweb)
  328. adapted to new simproc finite (detail / hgweb)
  329. clarified signature, following Isabelle/f362975e8ba1; (detail / hgweb)
  330. more direct Proof_Context.init_global; (detail / hgweb)
  331. proper naming conventions for Isabelle/ML; (detail / hgweb)
  332. Updated citation (detail / hgweb)
  333. merge from afp-2022 (detail / hgweb)
  334. Isabelle2022: new release download links (detail / hgweb)
  335. Added tag Isabelle2022 for changeset 548e384c0445 (detail / hgweb)
  336. Removal of some old junk (detail / hgweb)
  337. Deleted unused material (detail / hgweb)
  338. nothing (detail / hgweb)
  339. Instantiation of the order solver for ⊑ and ⊏ (no real effect though) (detail / hgweb)
  340. proof simplifications (detail / hgweb)
  341. merged (detail / hgweb)
  342. Simplified the proofs a bit (detail / hgweb)
  343. merged (detail / hgweb)
  344. replaced fmember.rep_eq by fmember_iff_member_fset (detail / hgweb)
  345. merge from afp-2021-1 (detail / hgweb)
  346. adapted to Isabelle/457f1cba78fb (detail / hgweb)
  347. merged (detail / hgweb)
  348. added lemmas generalizes_lit_refl[simp] and generalizes_lit_trans;
    added simp annotation to generalizes_refl (detail / hgweb)
  349. extracted proof cases from lifting_lemma to distinct lemmas (detail / hgweb)
  350. tuned proof due to new simp rules (detail / hgweb)
  351. corresponding lemma was removed from distribution (detail / hgweb)

Started by user Administrative User

This run spent:

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  • 4 hr 8 min build duration;
  • 4 hr 8 min total from scheduled to completion.
Revision: 8507ab527aa0dd9b67d4ac3f05d8daea66d812ca