Formal Semantics of a Classical-Quantum Language
Logic in Computer Science
2021-07-05 v1
Abstract
We investigate the formal semantics of a simple imperative language that has both classical and quantum constructs. More specifically, we provide an operational semantics, a denotational semantics and two Hoare-style proof systems: an abstract one and a concrete one. The two proof systems are satisfaction-based, as inspired by the program logics of Barthe et al for probabilistic programs. The abstract proof system turns out to be sound and relatively complete, while the concrete one is sound only.
Cite
@article{arxiv.2107.00804,
title = {Formal Semantics of a Classical-Quantum Language},
author = {Yuxin Deng and Yuan Feng},
journal= {arXiv preprint arXiv:2107.00804},
year = {2021}
}
Comments
30 pages