Hilbert II - JAVA-Packages - Principia Mathematica II

com.meyling.principia.logic.rule
Class LeftAdditionImplication

java.lang.Object
  extended bycom.meyling.principia.argument.AbstractArgument
      extended bycom.meyling.principia.argument.AbstractArgumentList
          extended bycom.meyling.principia.logic.rule.LeftAdditionImplication
All Implemented Interfaces:
Argument, Rule

public class LeftAdditionImplication
extends AbstractArgumentList
implements Argument, Rule

Implemention of "addition" of an implication on the left side.

A1 => A2

--------------------------

(A3 => A1) => (A3 => A2)

Version:
$Revision: 1.8 $
Author:
Michael Meyling

Constructor Summary
LeftAdditionImplication(Argument[] arguments)
          Constructs a left implication addition 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 right addition of a implication.
static void checkDeclaration(Module module, RuleDeclaration declaration)
          Check if 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

LeftAdditionImplication

public LeftAdditionImplication(Argument[] arguments)
                        throws ArgumentException
Constructs a left implication addition rule.

Parameters:
arguments -
Throws:
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 Formula
Method Detail

check

public final void check(Module module,
                        ProofLineList proofLines,
                        int position,
                        Formula formula)
                 throws ArgumentException
Check if proof could be extended with formula because of right addition of a implication.

Specified by:
check in interface Rule
Parameters:
module - module
proofLines - proof lines
position - number of proof lines that could be used in the rule
formula - formula to add
Throws:
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 implication and the additional formula have in common a subject variable that is bound in one formula and free in the other, or the resulting formula is not equal to formula or a version conflict occurs

checkDeclaration

public static final void checkDeclaration(Module module,
                                          RuleDeclaration declaration)
                                   throws ArgumentException
Check if this rule could be declared.

Parameters:
module - the module context
declaration - the declaration that shall declare this rule
Throws:
IllegalArgumentException - if an programming error occured
ArgumentException - if declaration failed

extendWithout

public final ProofLineList extendWithout(Module module,
                                         ProofLineList proofLines,
                                         int position)
                                  throws IllegalArgumentException
Return proof lines that could replace the proof line position.

Specified by:
extendWithout in interface Rule
Parameters:
module - the belonging module
proofLines - proof lines
position - referenced proof line (starting with 0) in proofLines
Returns:
proof lines that could substitute the single proof line position
Throws:
IllegalArgumentException - if extension is impossible or other problems occured

getProofLines

public final int[] getProofLines()
Description copied from interface: Rule
Get proof line numbers that are used to derive the new formula.

Specified by:
getProofLines in interface Rule
Returns:
numbers of involved proof lines

changeProofLines

public final Rule changeProofLines(int[] mapping)
Description copied from interface: Rule
Get proof line numbers that are used to derive the new formula.

Specified by:
changeProofLines in interface Rule
Parameters:
mapping - array that maps old proof line numbers (index) to new ones (value)
Returns:
same rule but with changed numbers of involved proof lines

getVersion

public final Version getVersion()
Description copied from interface: Rule
Get version of this rule.

Specified by:
getVersion in interface Rule
Returns:
rule version

create

public final Argument create(Argument[] arguments)
                      throws ArgumentException
Description copied from interface: Argument
Create a new Argument with given arguments.

Specified by:
create in interface Argument
Specified by:
create in class AbstractArgumentList
Throws:
ArgumentException

toString

public final String toString()
Description copied from interface: Argument
Get the argument in String form.

Specified by:
toString in interface Argument
Specified by:
toString in class AbstractArgumentList

Hilbert II - JAVA-Packages - Principia Mathematica II

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