NDLI: Alloy Meets the Algebra of Programming: A Case Study

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Alloy Meets the Algebra of Programming: A Case Study

Content Provider	IEEE Xplore Digital Library
Author	Oliveira, J.N. Ferreira, M.A.
Copyright Year	1976
Abstract	Relational algebra offers to software engineering the same degree of conciseness and calculational power as linear algebra in other engineering disciplines. Binary relations play the role of matrices with similar emphasis on multiplication and transposition. This matches with Alloy's lemma “everything is a relation” and with the relational basis of the Algebra of Programming (AoP). Altogether, it provides a simple and coherent approach to checking and calculating programs from abstract models. In this paper, we put Alloy and the Algebra of Programming together in a case study originating from the Verifiable File System mini-challenge put forward by Joshi and Holzmann: verifying the refinement of an abstract file store model into a journaled (Flash) data model catering to wear leveling and recovery from power loss. Our approach relies on diagrams to graphically express typed assertions. It interweaves model checking (in Alloy) with calculational proofs in a way which offers the best of both worlds. This provides ample evidence of the positive impact in software verification of Alloy's focus on relations, complemented by induction-free proofs about data structures such as stores and lists.
Sponsorship	IEEE Computer Society Technical Council on Software Engineering Association for Computing Machinery (ACM) IEEE Computer Society
Starting Page	305
Ending Page	326
Page Count	22
File Size	719415
File Format	PDF
ISSN	00985589
Volume Number	39
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Metals Software Programming Matrices Calculus Cognition grand challenges in computing Model checking algebra of programming software verification
Content Type	Text
Resource Type	Article
Subject	Software

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