Hoare Semigroups

Author:

STRUTH GEORG

Abstract

A semigroup-based setting for developing Hoare logics and refinement calculi is introduced together with procedures for translating between verification and refinement proofs. A new Hoare logic for multirelations and two minimalist generic verification and refinement components, implemented in an interactive theorem prover, are presented as applications that benefit from this generalisation.

Publisher

Cambridge University Press (CUP)

Subject

Computer Science Applications,Mathematics (miscellaneous)

Cited by 4 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. Modal algebra of multirelations;Journal of Logic and Computation;2024-05-28

2. Predicate Transformer Semantics for Hybrid Systems;Journal of Automated Reasoning;2021-10-31

3. Differential Hoare Logics and Refinement Calculi for Hybrid Systems with Isabelle/HOL;Relational and Algebraic Methods in Computer Science;2020

4. Cylindric Kleene Lattices for Program Construction;Lecture Notes in Computer Science;2019

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