Automatic amortized resource analysis with the Quantum physicist’s method

Author:

Kahn David M.1,Hoffmann Jan1

Affiliation:

1. Carnegie Mellon University, USA

Abstract

We present a novel method for working with the physicist's method of amortized resource analysis, which we call the quantum physicist's method. These principles allow for more precise analyses of resources that are not monotonically consumed, like stack. This method takes its name from its two major features, worldviews and resource tunneling, which behave analogously to quantum superposition and quantum tunneling. We use the quantum physicist's method to extend the Automatic Amortized Resource Analysis (AARA) type system, enabling the derivation of resource bounds based on tree depth. In doing so, we also introduce remainder contexts, which aid bookkeeping in linear type systems. We then evaluate this new type system's performance by bounding stack use of functions in the Set module of OCaml's standard library. Compared to state-of-the-art implementations of AARA, our new system derives tighter bounds with only moderate overhead.

Funder

NSF

Defense Advanced Research Projects Agency

Publisher

Association for Computing Machinery (ACM)

Subject

Safety, Risk, Reliability and Quality,Software

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Automatic Amortized Resource Analysis with Regular Recursive Types;2023 38th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS);2023-06-26

2. A separation logic for heap space under garbage collection;Proceedings of the ACM on Programming Languages;2022-01-12

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