REDLOG: computer algebra meets computer logic
ACM SIGSAM Bulletin
Simplification by Cooperating Decision Procedures
ACM Transactions on Programming Languages and Systems (TOPLAS)
Applications of Hierarchical Reasoning in the Verification of Complex Systems
Electronic Notes in Theoretical Computer Science (ENTCS)
On local reasoning in verification
TACAS'08/ETAPS'08 Proceedings of the Theory and practice of software, 14th international conference on Tools and algorithms for the construction and analysis of systems
Hierarchic reasoning in local theory extensions
CADE' 20 Proceedings of the 20th international conference on Automated Deduction
Locality Results for Certain Extensions of Theories with Bridging Functions
CADE-22 Proceedings of the 22nd International Conference on Automated Deduction
CADE-22 Proceedings of the 22nd International Conference on Automated Deduction
Towards complete reasoning about axiomatic specifications
VMCAI'11 Proceedings of the 12th international conference on Verification, model checking, and abstract interpretation
Proceedings of the 14th international conference on Hybrid systems: computation and control
Hierarchical reasoning for the verification of parametric systems
IJCAR'10 Proceedings of the 5th international conference on Automated Reasoning
Hierarchical reasoning and model generation for the verification of parametric hybrid systems
CADE'13 Proceedings of the 24th international conference on Automated Deduction
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We show that many properties studied in mathematical analysis (monotonicity, boundedness, inverse, Lipschitz properties possibly combined with continuity, derivability) are expressible by formulae in a class for which sound and complete hierarchical proof methods for testing satisfiability of sets of ground clauses exist. The results are useful for automated reasoning in analysis and in the verification of hybrid systems.