Name
Abstract | ||
|---|---|---|
This paper presents a theoretical and experimental comparison of sound proof rules for proving invariance of algebraic sets, that is, sets satisfying polynomial equalities, under the flow of polynomial ordinary differential equations. Problems of this nature arise in formal verification of continuous and hybrid dynamical systems, where there is an increasing need for methods to expedite formal proofs. We study the trade-off between proof rule generality and practical performance and evaluate our theoretical observations on a set of heterogeneous benchmarks. The relationship between increased deductive power and running time performance of the proof rules is far from obvious; we discuss and illustrate certain classes of problems where this relationship is interesting. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/978-3-662-46081-8_24 | VERIFICATION, MODEL CHECKING, AND ABSTRACT INTERPRETATION (VMCAI 2015) |
Field | DocType | Volume |
Algebraic number,Polynomial,Algebra,Computer science,Differential algebraic geometry,Algorithm,Theoretical computer science,Dynamical systems theory,Mathematical proof,Proof complexity,Formal proof,Formal verification | Conference | 8931 |
ISSN | Citations | PageRank |
0302-9743 | 4 | 0.40 |
References | Authors | |
17 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Khalil Ghorbal | 1 | 42 | 5.34 |
| Andrew Sogokon | 2 | 19 | 6.16 |
| André Platzer | 3 | 1425 | 82.57 |