sbv-8.0: SMT Based Verification: Symbolic Haskell theorem prover using SMT solving.

Documentation.SBV.Examples.Optimization.ExtField

Description

Author : Levent Erkok License : BSD3 Maintainer: erkokl@gmail.com Stability : experimental

Demonstrates the extension field (oo/epsilon) optimization results.

Synopsis

# Documentation

Optimization goals where min/max values might require assignments to values that are infinite (integer case), or infinite/epsion (real case). This simple example demostrates how SBV can be used to extract such values.

We have:

>>> optimize Independent problem
Objective "one-x": Optimal in an extension field:
one-x =                    oo :: Integer
min_y = 7.0 + (2.0 * epsilon) :: Real
min_z =         5.0 + epsilon :: Real
Objective "min_y": Optimal in an extension field:
one-x =                    oo :: Integer
min_y = 7.0 + (2.0 * epsilon) :: Real
min_z =         5.0 + epsilon :: Real
Objective "min_z": Optimal in an extension field:
one-x =                    oo :: Integer
min_y = 7.0 + (2.0 * epsilon) :: Real
min_z =         5.0 + epsilon :: Real