Approaches to parallel quantifier elimination
ISSAC '98 Proceedings of the 1998 international symposium on Symbolic and algebraic computation
Mixed real-integer linear quantifier elimination
ISSAC '99 Proceedings of the 1999 international symposium on Symbolic and algebraic computation
ISSAC '99 Proceedings of the 1999 international symposium on Symbolic and algebraic computation
Deciding linear-trigonometric problems
ISSAC '00 Proceedings of the 2000 international symposium on Symbolic and algebraic computation
ISSAC '00 Proceedings of the 2000 international symposium on Symbolic and algebraic computation
Symbolic Reachability Computation for Families of Linear Vector Fields
Journal of Symbolic Computation
Efficient path conditions in dependence graphs
Proceedings of the 24th International Conference on Software Engineering
A New Approach for Automatic Theorem Proving in Real Geometry
Journal of Automated Reasoning
Computer Algebra Meets Automated Theorem Proving: Integrating Maple and PVS
TPHOLs '01 Proceedings of the 14th International Conference on Theorem Proving in Higher Order Logics
A New Class of Decidable Hybrid Systems
HSCC '99 Proceedings of the Second International Workshop on Hybrid Systems: Computation and Control
Controlled Invariance of Discrete Time Systems
HSCC '00 Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control
Decidable Controller Synthesis for Classes of Linear Systems
HSCC '00 Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control
Reach Set Computations Using Real Quantifier Elimination
HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
Formal Methods for Extensions to CAS
FM '99 Proceedings of the Wold Congress on Formal Methods in the Development of Computing Systems-Volume II
Solving Geometric Problems with Real Quantifier Elimination
ADG '98 Proceedings of the Second International Workshop on Automated Deduction in Geometry
Integration of Quantifier Elimination with Constraint Logic Programming
AISC '02/Calculemus '02 Proceedings of the Joint International Conferences on Artificial Intelligence, Automated Reasoning, and Symbolic Computation
A generic projection operator for partial cylindrical algebraic decomposition
ISSAC '03 Proceedings of the 2003 international symposium on Symbolic and algebraic computation
Computer algebra handbook
Non-linear loop invariant generation using Gröbner bases
Proceedings of the 31st ACM SIGPLAN-SIGACT symposium on Principles of programming languages
QEPCAD B: a program for computing with semi-algebraic sets using CADs
ACM SIGSAM Bulletin
Efficient projection orders for CAD
ISSAC '04 Proceedings of the 2004 international symposium on Symbolic and algebraic computation
A simple algorithm to compute comprehensive Gröbner bases using Gröbner bases
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
Efficient path conditions in dependence graphs for software safety analysis
ACM Transactions on Software Engineering and Methodology (TOSEM)
Multiple object semilinear motion planning
Journal of Symbolic Computation
Implementing the cylindrical algebraic decomposition within the Coq system
Mathematical Structures in Computer Science
Applications of Hierarchical Reasoning in the Verification of Complex Systems
Electronic Notes in Theoretical Computer Science (ENTCS)
The complexity of quantifier elimination and cylindrical algebraic decomposition
Proceedings of the 2007 international symposium on Symbolic and algebraic computation
A speed-up of the algorithm for computing comprehensive Gröbner systems
Proceedings of the 2007 international symposium on Symbolic and algebraic computation
DISCOVERER: a tool for solving semi-algebraic systems
ACM Communications in Computer Algebra
PGB: a package for computing parametric Gröbner and related objects
ACM Communications in Computer Algebra
ACM Communications in Computer Algebra
Program Verification by Using DISCOVERER
Verified Software: Theories, Tools, Experiments
Certified Computer Algebra on Top of an Interactive Theorem Prover
Calculemus '07 / MKM '07 Proceedings of the 14th symposium on Towards Mechanized Mathematical Assistants: 6th International Conference
Hierarchical and Modular Reasoning in Complex Theories: The Case of Local Theory Extensions
FroCoS '07 Proceedings of the 6th international symposium on Frontiers of Combining Systems
Investigating Generic Methods to Solve Hopf Bifurcation Problems in Algebraic Biology
AB '08 Proceedings of the 3rd international conference on Algebraic Biology
Efficient Hierarchical Reasoning about Functions over Numerical Domains
KI '08 Proceedings of the 31st annual German conference on Advances in Artificial Intelligence
Hybrid Automata in Systems Biology: How Far Can We Go?
Electronic Notes in Theoretical Computer Science (ENTCS)
Combining logical and algebraic techniques for natural style proving in elementary analysis
Mathematics and Computers in Simulation
TACAS '09 Proceedings of the 15th International Conference on Tools and Algorithms for the Construction and Analysis of Systems: Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2009,
Combined Decision Techniques for the Existential Theory of the Reals
Calculemus '09/MKM '09 Proceedings of the 16th Symposium, 8th International Conference. Held as Part of CICM '09 on Intelligent Computer Mathematics
CADE-22 Proceedings of the 22nd International Conference on Automated Deduction
CADE-22 Proceedings of the 22nd International Conference on Automated Deduction
Effective Quantifier Elimination for Presburger Arithmetic with Infinity
CASC '09 Proceedings of the 11th International Workshop on Computer Algebra in Scientific Computing
Interactions Between PVS and Maple in Symbolic Analysis of Control Systems
Electronic Notes in Theoretical Computer Science (ENTCS)
Hidden verification for computational mathematics
Journal of Symbolic Computation
ACM Transactions on Programming Languages and Systems (TOPLAS)
Hybrid modelling and control of power electronics
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
On proving the absence of oscillations in models of genetic circuits
AB'07 Proceedings of the 2nd international conference on Algebraic biology
Algorithmic algebraic model checking IV: characterization of metabolic networks
AB'07 Proceedings of the 2nd international conference on Algebraic biology
Discovering non-linear ranking functions by solving semi-algebraic systems
ICTAC'07 Proceedings of the 4th international conference on Theoretical aspects of computing
Generating polynomial invariants with DISCOVERER and QEPCAD
Formal methods and hybrid real-time systems
Parametric quantified SAT solving
Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation
Termination of linear programs with nonlinear constraints
Journal of Symbolic Computation
Linear-invariant generation for probabilistic programs: automated support for proof-based methods
SAS'10 Proceedings of the 17th international conference on Static analysis
Supporting global numerical optimization of rational functions by generic symbolic convexity tests
CASC'10 Proceedings of the 12th international conference on Computer algebra in scientific computing
CASC'10 Proceedings of the 12th international conference on Computer algebra in scientific computing
Extending clause learning of SAT solvers with Boolean Gröbner bases
CASC'10 Proceedings of the 12th international conference on Computer algebra in scientific computing
SIAM Journal on Control and Optimization
Proceedings of the 14th international conference on Hybrid systems: computation and control
GiNaCRA: a C++ library for real algebraic computations
NFM'11 Proceedings of the Third international conference on NASA Formal methods
Solution formulas for cubic equations without or with constraints
Journal of Symbolic Computation
Algebraic analysis on asymptotic stability of continuous dynamical systems
Proceedings of the 36th international symposium on Symbolic and algebraic computation
Verification and synthesis using real quantifier elimination
Proceedings of the 36th international symposium on Symbolic and algebraic computation
Automatic verification of the adequacy of models for families of geometric objects
ADG'08 Proceedings of the 7th international conference on Automated deduction in geometry
Virtual substitution for SMT-solving
FCT'11 Proceedings of the 18th international conference on Fundamentals of computation theory
Chemical reaction systems, computer algebra and systems biology
CASC'11 Proceedings of the 13th international conference on Computer algebra in scientific computing
Superposition modulo non-linear arithmetic
FroCoS'11 Proceedings of the 8th international conference on Frontiers of combining systems
Calculating polynomial runtime properties
APLAS'05 Proceedings of the Third Asian conference on Programming Languages and Systems
ATVA'05 Proceedings of the Third international conference on Automated Technology for Verification and Analysis
Hierarchic reasoning in local theory extensions
CADE' 20 Proceedings of the 20th international conference on Automated Deduction
Quantifier elimination for constraint logic programming
CASC'05 Proceedings of the 8th international conference on Computer Algebra in Scientific Computing
Efficient preprocessing methods for quantifier elimination
CASC'06 Proceedings of the 9th international conference on Computer Algebra in Scientific Computing
New domains for applied quantifier elimination
CASC'06 Proceedings of the 9th international conference on Computer Algebra in Scientific Computing
Hierarchical reasoning for the verification of parametric systems
IJCAR'10 Proceedings of the 5th international conference on Automated Reasoning
Algebraic analysis on asymptotic stability of switched hybrid systems
Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control
SMT-RAT: an SMT-compliant nonlinear real arithmetic toolbox
SAT'12 Proceedings of the 15th international conference on Theory and Applications of Satisfiability Testing
IJCAR'12 Proceedings of the 6th international joint conference on Automated Reasoning
Timed relational abstractions for sampled data control systems
CAV'12 Proceedings of the 24th international conference on Computer Aided Verification
Weak integer quantifier elimination beyond the linear case
CASC'07 Proceedings of the 10th international conference on Computer Algebra in Scientific Computing
Triangular decomposition of semi-algebraic systems
Journal of Symbolic Computation
Computing hopf bifurcations in chemical reaction networks using reaction coordinates
CASC'12 Proceedings of the 14th international conference on Computer Algebra in Scientific Computing
Stability conditions of monomial bases and comprehensive gröbner systems
CASC'12 Proceedings of the 14th international conference on Computer Algebra in Scientific Computing
Verifiable conditions on asymptotic stabilisability for a class of planar switched linear systems
CASC'12 Proceedings of the 14th international conference on Computer Algebra in Scientific Computing
On the limits of the classical approach to cost analysis
SAS'12 Proceedings of the 19th international conference on Static Analysis
Discovering polynomial Lyapunov functions for continuous dynamical systems
Journal of Symbolic Computation
Hierarchical reasoning and model generation for the verification of parametric hybrid systems
CADE'13 Proceedings of the 24th international conference on Automated Deduction
JBernstein: a validity checker for generalized polynomial constraints
CAV'13 Proceedings of the 25th international conference on Computer Aided Verification
HIPimm: verifying granular immutability guarantees
Proceedings of the ACM SIGPLAN 2014 Workshop on Partial Evaluation and Program Manipulation
Time-aware relational abstractions for hybrid systems
Proceedings of the Eleventh ACM International Conference on Embedded Software
Note: On the complexity of quantified linear systems
Theoretical Computer Science
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REDLOG is a package that extends the computer algebra system REDUCE to a computer logic system, i.e., a system that provides algorithms for the symbolic manipulation of first-order formulas over some temporarily fixed language and theory. In contrast to theorem provers, the methods applied know about the underlying algebraic theory and make use of it. We illustrate some applications of REDLOG, describe its functionality as it appears to the user, and explain the design issues and implementation techniques. REDLOG is available on the WWW.