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» A Proof-Producing Decision Procedure for Real Arithmetic
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CADE
2005
Springer
14 years 5 months ago
A Proof-Producing Decision Procedure for Real Arithmetic
We present a fully proof-producing implementation of a quantifier elimination procedure for real closed fields. To our knowledge, this is the first generally useful proof-producing...
Sean McLaughlin, John Harrison
CAV
2009
Springer
123views Hardware» more  CAV 2009»
13 years 8 months ago
On Using Floating-Point Computations to Help an Exact Linear Arithmetic Decision Procedure
We consider the decision problem for quantifier-free formulas whose atoms are linear inequalities interpreted over the reals or rationals. This problem may be decided using satisf...
David Monniaux
AISC
2008
Springer
13 years 6 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
JAR
2010
160views more  JAR 2010»
13 years 3 months ago
MetiTarski: An Automatic Theorem Prover for Real-Valued Special Functions
Many theorems involving special functions such as ln, exp and sin can be proved automatically by MetiTarski: a resolution theorem prover modified to call a decision procedure for ...
Behzad Akbarpour, Lawrence C. Paulson
CADE
2004
Springer
14 years 5 months ago
The ICS Decision Procedures for Embedded Deduction
contexts such as construction of abstractions, speed may be favored over completeness, so that undecidable theories (e.g., nonlinear integer arithmetic) and those whose decision pr...
Leonardo Mendonça de Moura, Sam Owre, Haral...