Using First-Order Logic to Reason about Policies

Details Using First-Order Logic to Reason about Policies Using First-Order Logic to Reason about Policies

2006-01-10

arxiv.org/abs/cs/0601034v3

Computer Science

Logic in Computer Science

39 pages, earlier version in Proceedings of the Sixteenth IEEE Computer Security Foundations Workshop, 2003, pp. 187-201

Scientific paper

A policy describes the conditions under which an action is permitted or forbidden. We show that a fragment of (multi-sorted) first-order logic can be used to represent and reason about policies. Because we use first-order logic, policies have a clear syntax and semantics. We show that further restricting the fragment results in a language that is still quite expressive yet is also tractable. More precisely, questions about entailment, such as `May Alice access the file?', can be answered in time that is a low-order polynomial (indeed, almost linear in some cases), as can questions about the consistency of policy sets.

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