تقرير
Uniform Substitution for Differential Refinement Logic
| العنوان: | Uniform Substitution for Differential Refinement Logic |
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| المؤلفون: | Prebet, Enguerrand, Platzer, André |
| المصدر: | Automated Reasoning, 12th International Joint Conference, IJCAR 2024 |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science |
| مصطلحات موضوعية: | Computer Science - Logic in Computer Science, F.3.1, F.4.1, D.2.4 |
| الوصف: | This paper introduces a uniform substitution calculus for differential refinement logic dRL. The logic dRL extends the differential dynamic logic dL such that one can simultaneously reason about properties of and relations between hybrid systems. Refinements are useful e.g. for simplifying proofs by relating a concrete hybrid system to an abstract one from which the property can be proved more easily. Uniform substitution is the key to parsimonious prover microkernels. It enables the verbatim use of single axiom formulas instead of axiom schemata with soundness-critical side conditions scattered across the proof calculus. The uniform substitution rule can then be used to instantiate all axioms soundly. Access to differential variables in dRL enables more control over the notion of refinement, which is shown to be decidable on a fragment of hybrid programs. Comment: IJCAR 2024 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/978-3-031-63501-4_11 |
| URL الوصول: | http://arxiv.org/abs/2404.16734 |
| رقم الأكسشن: | edsarx.2404.16734 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/978-3-031-63501-4_11 |
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