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» A Heuristic Prover for Real Inequalities
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LPAR
2007
Springer
14 years 2 months ago
Extending a Resolution Prover for Inequalities on Elementary Functions
Abstract. Experiments show that many inequalities involving exponentials and logarithms can be proved automatically by combining a resolution theorem prover with a decision procedu...
Behzad Akbarpour, Lawrence C. Paulson
AISC
2008
Springer
13 years 10 months ago
MetiTarski: An Automatic Prover for the Elementary Functions
Many inequalities involving the functions ln, exp, sin, cos, etc., can be proved automatically by MetiTarski: a resolution theorem prover (Metis) modified to call a decision proced...
Behzad Akbarpour, Lawrence C. Paulson
TPHOL
2007
IEEE
14 years 2 months ago
Verifying Nonlinear Real Formulas Via Sums of Squares
Techniques based on sums of squares appear promising as a general approach to the universal theory of reals with addition and multiplication, i.e. verifying Boolean combinations of...
John Harrison
CORR
2006
Springer
151views Education» more  CORR 2006»
13 years 8 months ago
Combining decision procedures for the reals
Abstract. We address the general problem of determining the validity of boolean combinations of equalities and inequalities between real-valued expressions. In particular, we consi...
Jeremy Avigad, Harvey Friedman
MKM
2009
Springer
14 years 3 months ago
Combined Decision Techniques for the Existential Theory of the Reals
Methods for deciding quantifier-free non-linear arithmetical conjectures over R are crucial in the formal verification of many realworld systems and in formalised mathematics. Wh...
Grant Olney Passmore, Paul B. Jackson