We identify the algebraic structure of the material histories generated by concurrent processes. Specifically, we extend existing categorical theories of resource convertibility to capture concurrent interaction. Our formalism admits an intuitive graphical presentation via string diagrams for proarrow equipments. We also consider certain induced categories of resource transducers, which are of independent interest due to their unusual structure.

翻译：我们确定了同时进程产生的物质历史的代数结构。 具体地说,我们扩展了现有的资源可兑换性绝对理论,以捕捉同时发生的相互作用。 我们的正规主义承认了一种直观的图形演示方式,即通过麻麻麻设备字符串图来显示。 我们还考虑了某些因不同寻常的结构而引起独立兴趣的资源转换器类别。