| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 432626 | Journal of Logical and Algebraic Methods in Programming | 2014 | 19 Pages |
•Different applications of modal idempotent semirings.•Modal algebra of bisimulations and a proof of closure.•Modal algebra of formal concept analysis and database preferences.•Modal algebra of total and partial program correctness, including abortion.•Modal algebra of structured modules in feature oriented software development.
Modal idempotent semirings cover a large set of different applications. The paper presents a small collection of these, ranging from algebraic logics for program correctness over bisimulation refinement, formal concept analysis, database preferences to feature oriented software development. We provide new results and/or views on these domains; the modal semiring setting allows a concise and unified treatment, while being more general than, e.g., standard relation algebra.
