AI 中文总结
该研究针对反应式、非确定性系统中的计算错误，引入新的三值对称非确定性析取，在非确定性矩阵框架内定义，源于Kleene与Bochvar语义组合，消除不对称性，使语义在含错误混合情况中有非确定性结果且保持相关特性。
AI 中文摘要
我们为反应式、非确定性系统中的计算错误提出了一种逻辑形式化。为此，引入了一种新的三值对称非确定性析取，旨在为并发计算中出现的非确定性选择提供忠实的逻辑表示。该连接词在非确定性矩阵框架内定义，源自Kleene宽容语义和Bochvar对称错误持久性的最小组合，消除了如McCarthy逻辑等顺序评估策略引起的残余不对称。所得语义在涉及错误的混合情况下允许真正的非确定性结果，同时保持交换性和操作对称性。
英文摘要
We propose a logical formalisation of computational errors in reactive, nondeterministic systems. To this aim, we introduce a new three-valued symmetric nondeterministic disjunction, designed to provide a faithful logical representation of the nondeterministic choice arising in concurrent computations. The connective is defined within the framework of nondeterministic matrices (Nmatrices) and derives from a minimal combination of Kleene's tolerant semantics and Bochvar's symmetric error persistence, thereby eliminating the residual asymmetry induced by sequential evaluation strategies such as McCarthy's logic. The resulting semantics admits genuinely nondeterministic outcomes in mixed cases involving errors, while preserving commutativity and operational symmetry.
CommentsIn Proceedings LSFA 2026, arXiv:2607.15904
Journal refEPTCS 449, 2026, pp. 1-17
