TY - JOUR A1 - Dang, Han-Hing A1 - Möller, Bernhard T1 - Transitive separation logic T2 - Lecture Notes in Computer Science N2 - Separation logic (SL) is an extension of Hoare logic by operations and formulas that not only talk about program variables, but also about heap portions. Its general purpose is to enable more exible reasoning about linked object/record structures. In the present paper we give an algebraic extension of SL at the data structure level. We define operations that additionally to heap separation make assumptions about the linking structure. Phenomena to be treated comprise reachability analysis, (absence of) sharing, cycle detection, preservation of substructures under destructive assignments. We demonstrate the practicality of this approach with the examples of in-place list-reversal and tree rotation. Y1 - 2012 UR - https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/58757 UR - https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-587577 SN - 9783642333132 SN - 9783642333149 SN - 0302-9743 SN - 1611-3349 VL - 7560 SP - 1 EP - 16 PB - Springer CY - Berlin ER -