Abstract
A framework for the analysis of the amortized complexity of functional
data structures is formalized in Isabelle/HOL and applied to a number of
standard examples and to the folowing non-trivial ones: skew heaps,
splay trees, splay heaps and pairing heaps.
License
History
- July 14, 2016
- Moved pairing heaps from here to the new Pairing_Heap
- July 12, 2016
- Moved splay heaps from here to Splay_Tree
- March 17, 2015
- Added pairing heaps by Hauke Brinkop.
Topics
Related publications
- Nipkow, T., & Brinkop, H. (2018). Amortized Complexity Verified. Journal of Automated Reasoning, 62(3), 367–391. https://doi.org/10.1007/s10817-018-9459-3
- Author's copy
- Wikipedia
Session Amortized_Complexity
- Amortized_Framework0
- Amortized_Framework
- Amortized_Examples
- Priority_Queue_ops_merge
- Skew_Heap_Analysis
- Lemmas_log
- Splay_Tree_Analysis_Base
- Splay_Tree_Analysis
- Splay_Tree_Analysis_Optimal
- Priority_Queue_ops
- Splay_Heap_Analysis
- Pairing_Heap_Tree_Analysis
- Pairing_Heap_Tree_Analysis2
- Pairing_Heap_List1_Analysis
- Pairing_Heap_List1_Analysis2
- Pairing_Heap_List2_Analysis