Logic-based representation and reasoning about knowledge of constrained resources

摘要

It appears that classical logic is not suitable for the representation and reasoning about knowledge of disposable resources. The major difference between reasoning about disposable resources and classical logic is that once a disposable resource is used to produce something, it is not available any more; but a formula of classical logic can be repeatedly used in deduction. Inspired by linear logic, or logic of resources, we propose a language for knowledge-based systems of resources, which can process state space models of systems represented by Petri nets or their subclasses such as marked graphs and state machines. It can serve as a modeling tool for various engineering and social science problems of resource allocations.