2014 introductory article: https://www.linuxjournal.com/content/promise-theory—what-it
Basic book on the subject: https://www.amazon.com/Thinking-Promises-Designing-Systems-C...
It's not "maths" like arithmentic but it's "maths" like graph theory:
Promise Theory, in the context of information science, is a model of voluntary cooperation between individual, autonomous actors or agents who publish their intentions to one another in the form of promises. It is a form of labelled graph theory, describing discrete networks of agents joined by the unilateral promises they make.
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