Abstract
We present an axiomatic specification of a key fragment of DOM using structural separation logic. This specification allows us to develop modular reasoning about client programs that call the DOM.
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Notes
- 1.
It is possible to combine multiple cases into one by rewriting the pre- and postconditions as a disjunction of the cases and using logical variables to track each case. For clarity, we opt to write each case separately.
- 2.
Since DOM may be called by different client programs written in different languages, \(\mathsf {store} \) denotes a black-box predicate that can be instantiated to describe a variable store in the client language. Here, we instantiate it as the JavaScript variable store.
- 3.
All free logical variables on the right-hand side are parameters of the predicate on the left. We omit them for readability as they do not change throughout the execution. By contrast, the iteration number i, and the tag listeners \(\textsc {e}\) of node \(\textsc {n}\) may change (the latter may grow by getElementsByTagName) and are explicitly parameterised.
References
W3C DOM standard. www.w3.org/TR/REC-DOM-Level-1/level-one-core.html
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Acknowledgements
This research was supported by EPSRC programme grants EP/H008373/1, EP/K008528/1 and EP/K032089/1.
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Raad, A., Santos, J.F., Gardner, P. (2016). DOM: Specification and Client Reasoning. In: Igarashi, A. (eds) Programming Languages and Systems. APLAS 2016. Lecture Notes in Computer Science(), vol 10017. Springer, Cham. https://doi.org/10.1007/978-3-319-47958-3_21
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