@inproceedings{MossakowskiEA08b, abstract = {For a number of programming languages, among them Eiffel, C, Java and Ruby, Hoare-style logics and dynamic logics have been developed. In these logics, pre- and postconditions are typically formulated using potentially effectful programs. In order to ensure that these pre- and postconditions behave like logical formulae (that is, enjoy some kind of referential transparency), a notion of purity is needed. Here, we introduce a generic framework for reasoning about purity and effects. Effects are modeled abstractly and axiomatically, using Moggi's idea of encapsulation of effects as monads. We introduce a dynamic logic (from which, as usual, a Hoare logic can be derived) whose logical formulae are pure programs in a strong sense. We formulate a set of proof rules for this logic, and prove it to be complete with respect to a categorical semantics. Using dynamic logic, we then develop a relaxed notion of purity which allows for observationally neutral effects such writing on newly allocated memory.}, added-at = {2016-08-05T15:59:03.000+0200}, author = {Mossakowski, Till and Schr{\"o}der, Lutz and Goncharov, Sergey}, biburl = {https://www.bibsonomy.org/bibtex/2a27c1257f1171c1b2833dbcadee1fb9a/tillmo}, booktitle = {Fundamental Approaches to Software Engineering (FASE 2008)}, editor = {Fiadeiro, J. and Inverardi, P.}, interhash = {2241a61078c7e0bfc014773d5cca2258}, intrahash = {a27c1257f1171c1b2833dbcadee1fb9a}, keywords = {completeness dynamic function logic monad observational pure purity}, pages = {199-214}, pdfurl = {http://www.informatik.uni-bremen.de/~till/papers/purity-effects.pdf}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, status = {Reviewed}, timestamp = {2016-08-05T15:59:03.000+0200}, title = { A generic complete dynamic logic for reasoning about purity and effects}, url = {http://dx.doi.org/10.1007/978-3-540-78743-3_15}, volume = 4961, year = 2008 }