Modal Tools for Separation and Refinement

Georg Struth
<span title="">2008</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/uy5mv2ncw5eahkdx47hkrglxmm" style="color: black;">Electronical Notes in Theoretical Computer Science</a> </i> &nbsp;
Kleene modules and modal Kleene algebras are applied to automatically verify refinement laws for infinite loops and separation of termination. The key concept in this analysis is divergence which, in some models, abstractly characterises that part of a state space from which infinite dynamics is possible. In other models it expresses infinite iteration. Equational axioms for divergence are introduced, and the concept is refined for different contexts. In particular it is related to Löb's formula, which describes termination in modal logics.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.entcs.2008.06.005">doi:10.1016/j.entcs.2008.06.005</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gzvmozk35nhzncfs5p5arvwos4">fatcat:gzvmozk35nhzncfs5p5arvwos4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190414174929/https://core.ac.uk/download/pdf/82179011.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c2/9d/c29d1a2f226aadd7b0a1f3e7a9fd5e82deb02be8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.entcs.2008.06.005"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> elsevier.com </button> </a>