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Hilbert II - JAVA-Packages - Principia Mathematica II | ||||||||||
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java.lang.Objectcom.meyling.principia.argument.AbstractArgument
com.meyling.principia.argument.AbstractArgumentList
com.meyling.principia.logic.rule.Generalization
Implemention of making a conclusion universal.
A0 => A1
x0 not in A0
x0 free in A1
---------------
A0 => A x0(A1)
Constructor Summary | |
Generalization(Argument[] arguments)
Constructs a generalization rule. |
Method Summary | |
Rule |
changeProofLines(int[] mapping)
Get proof line numbers that are used to derive the new formula. |
void |
check(Module module,
ProofLineList proofLines,
int position,
Formula formula)
Check if proof could be extended with formula because of modus ponens. |
static void |
checkDeclaration(Module module,
RuleDeclaration declaration)
Check this rule could be declared. |
Argument |
create(Argument[] arguments)
Create a new Argument with given arguments. |
ProofLineList |
extendWithout(Module module,
ProofLineList proofLines,
int position)
Return proof lines that could replace the proof line position . |
int[] |
getProofLines()
Get proof line numbers that are used to derive the new formula. |
Version |
getVersion()
Get version of this rule. |
String |
toString()
Get the argument in String form. |
Methods inherited from class com.meyling.principia.argument.AbstractArgumentList |
copy, getArgument, getArgumentSize |
Methods inherited from class com.meyling.principia.argument.AbstractArgument |
containsPatternVariables, equals, getHighestNumber, getPatternVariables, getReplacementParents, getSearchParents, hashCode, matches, matches, replace, replace, replace, replaceMatches |
Methods inherited from class java.lang.Object |
clone, finalize, getClass, notify, notifyAll, wait, wait, wait |
Methods inherited from interface com.meyling.principia.argument.Argument |
containsPatternVariables, copy, equals, getArgument, getArgumentSize, getPatternVariables, getReplacementParents, getSearchParents, hashCode, matches, matches, replace, replace, replace, replaceMatches |
Constructor Detail |
public Generalization(Argument[] arguments) throws ArgumentException
arguments
- ArgumentException
- if there are not exactly two
arguments, if the first argument is not
an instance of Counter
or is not bigger than zero, or
if the second argument is no instance of a SubjectVariable
Method Detail |
public final void check(Module module, ProofLineList proofLines, int position, Formula formula) throws ArgumentException
check
in interface Rule
module
- moduleproofLines
- proof linesposition
- number of proof lines that could be used
in the ruleformula
- formula to add
ArgumentException
- if addition is not possible
because the proof line numbers are not allowed (e.g.
between 0 and the minimum of position - 1
and current maximum proof line number)
or the proof line number is no Implication
or the first formula of the implication has already the
new subject variable
or the second formula of the implication dosn't have
the new subject variable as a free one
or the resulting formula is not equal to
formula
or a version conflict occurspublic ProofLineList extendWithout(Module module, ProofLineList proofLines, int position) throws UnsupportedOperationException
Rule
position
.
extendWithout
in interface Rule
module
- the belonging moduleproofLines
- proof linesposition
- referenced proof line (starting with 0)
in proofLines
position
UnsupportedOperationException
- if this rule couldn't
be reduced at all because it is a basic rulepublic final int[] getProofLines()
Rule
getProofLines
in interface Rule
public final Rule changeProofLines(int[] mapping)
Rule
changeProofLines
in interface Rule
mapping
- array that maps old proof line numbers (index) to
new ones (value)
public static final void checkDeclaration(Module module, RuleDeclaration declaration) throws ArgumentException
module
- the module contextdeclaration
- the declaration that shall declare this rule
IllegalArgumentException
- if an programming error occured
ArgumentException
- if declaration failedpublic final Version getVersion()
Rule
getVersion
in interface Rule
public final Argument create(Argument[] arguments) throws ArgumentException
Argument
create
in interface Argument
create
in class AbstractArgumentList
ArgumentException
public final String toString()
Argument
String
form.
toString
in interface Argument
toString
in class AbstractArgumentList
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Hilbert II - JAVA-Packages - Principia Mathematica II | ||||||||||
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