The Validation module provides a framework for installing and using a collection of Validation Tools. This virtual namespace documents them all in one place.
Validation Tools
Methods
CASValidator(expression)
The CAS Validation Tool uses
Algebrite to evaluate
whether an equation, inequality, or the statement isprime(n)
is valid.
It can be applied to a single Expression, and will mark it valid
if and only if the expression is a valid Algebrite equation, inequality,
or the statement isprime(n)
where $n$ is an expression that evaluates
to an integer, and the Algebrite check(expression)
command returns 1
.
Parameters
-
expression
Expression
An Expression that represents a valid Algebrite equation, inequality, or the statement
isprime(n)
.
See
Source
arithmeticValidator(target)
The Floating Point Arithmetic Validation Tool uses JavaScript to evaluate
an Expression whose only operators are +
, -
, *
, /
, %
, ^
,
=
, >
, <
, >=
, and <=
. Since such JavaScript expressions can be
inequalies and equations, they can evaluate to true
or false
in some
cases. This tool marks the expression valid
if and only if the JavaScript
expression built from it evaluates to true
.
Parameters
-
target
Expression
an Expression that represents a valid JavaScript expression
See
Source
classicalPropositionalValidator(conclusion)
The Classical Propositional Logic validation tool determines whether the propositional form of the sequent of a conclusion in an environment (not involving formulas or declarations) is a classical tautology.
This tool is installed with the tool name 'Classical Propositional Logic'
. Thus,
to use this tool to validate a conclusion, C
, call
Validation.setOptions and Validation.validate as follows:
Validation.setOptions(C,'tool','Classical Propositional Logic')
Validation.validate(C)
That will result in the validation results being stored in $C$ as an attribute.
Parameters
-
conclusion
Environment#conclusions
An conclusion of an Environment
See
Source
intuitionisticPropositionalValidator(conclusion)
The Intuitionistic Propositional Logic validation tool determines whether the propositional form of the sequent of a conclusion in an environment (not involving formulas or declarations) is intuitionistically valid in the fragment of propositional logic generated by implication and conjunction.
This tool is installed with the tool name 'Intuitionistic Propositional Logic'
. Thus,
to use this tool to validate a conclusion, C
, call
Validation.setOptions and Validation.validate as follows:
Validation.setOptions(C,'tool','Intuitionistic Propositional Logic')
Validation.validate(C)
That will result in the validation results being stored in $C$ as an attribute.
Parameters
-
conclusion
Environment#conclusions
A conclusion of an Environment