Verifying nonlinear real formulas via sums of squares (2007)

Cached

Download Links

by John Harrison
Venue:Theorem Proving in Higher Order Logics, TPHOLs 2007, volume 4732 of Lect. Notes in Comp. Sci
Citations:19 - 2 self

Documents Related by Co-Citation

568 A Decision Method for Elementary Algebra and Geometry – A Tarski - 1948
222 Semidefinite Programming Relaxations for Semialgebraic Problems – Pablo A. Parrilo - 2001
24 A proof-producing decision procedure for real arithmetic – Sean Mclaughlin, John Harrison - 2005
80 Real quantifier elimination is doubly exponential – DH88 J H Davenport, J Heinz - 1988
13 An algebraic approach for the unsatisfiability of nonlinear constraints – Ashish Tiwari
181 Partial cylindrical algebraic decomposition for quantifier elimination – G E Collins, H Hong - 1991
29 KeYmaera: A hybrid theorem prover for hybrid systems – André Platzer, Jan-David Quesel - 2008
42 Quantifier Elimination for Real Algebra - the Quadratic Case and Beyond – Volker Weispfenning - 1993
69 A Nullstellensatz and a Positivstellensatz in semialgebraic geometry – G Stengle - 1973
377 Quantifier Elimination for Real Closed Fields by Cylindrical Algebraic Decomposition - Preliminary Report – G E Collins - 1974
3657 Convex Optimization – Stephen Boyd, Lieven Vandenberghe - 2004
7 Formal Global Optimisation with Taylor Models,” in IJCAR, ser – R Zumkeller - 2006
15 models and other validated functional inclusion methods – K Makino, M Berz, Taylor
20 Rigorous Analysis of Nonlinear Motion in Particle Accelerators – K Makino - 1998
56 QEPCAD B: A program for computing with semi-algebraic sets using CADs – Christopher W. Brown - 2003
105 REDLOG Computer Algebra Meets Computer Logic – Andreas Dolzmann, Thomas Sturm - 1996
35 An Algorithm for Finding the Basis Elements of the Residue Class Ring of a Zero Dimensional Polynomial Ideal – B Buchberger - 1965
41 Differential Dynamic Logic for Hybrid Systems – André Platzer - 2007
31 Computing differential invariants of hybrid systems as fixedpoints – André Platzer, Edmund M. Clarke - 2008