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Sigma knowledge engineering system is an system for developing, viewing and debugging theories in first order logic. It works with Knowledge Interchange Format (KIF) and is optimized for the Suggested Upper Merged Ontology (SUMO) www.ontologyportal.org.

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package com.articulate.sigma.semRewrite;

/*
Copyright 2014-2015 IPsoft

Author: Peigen You [email protected]

This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with this program ; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston,
MA  02111-1307 USA
*/

import java.util.*;

/************************************************************
 * A class for check Rewrite Rule subsume condition
 *
 * Functions:
 * checkRuleSet     will check the rule set subsume condition
 * isRuleSubsumedByRuleSet   will check the rule subsume condition with the exsiting ruleset
 */
public class SemRewriteRuleCheck {

    private static boolean isIgnoreCNFOnRight = true;




    /***********************************************************
     * //TODO
     */
    private static void printRuleSetTree(ArrayList rset,Map> links){

        class RuleNode{
            RuleNode p=null;
            Integer r=null;
            ArrayList getSubsumedList;
            ArrayList childCNFList;
            RuleNode(Integer r,RuleNode p){
                this.r=r;
                this.p=p;
            }
        }


        ArrayList rootNodes=new ArrayList();
        RuleNode[] visited=new RuleNode[rset.size()];
        Arrays.fill(visited,null);
        HashSet children=null;
        for(int i=rset.size()-1;i>=0;--i){
            children=links.get(i);
            RuleNode rn=visited[i];
            if(rn==null){
                rn=new RuleNode(i,null);
                rootNodes.add(rn);
                visited[i]=rn;
            }
            if(children==null)
                continue;
            for(Integer k:children){
                RuleNode rnc=visited[k];
                if(rnc==null) {
                    rnc = new RuleNode(k, rn);
                    visited[k] = rnc;
                }else continue;
                if(rn.getSubsumedList==null) rn.getSubsumedList=new ArrayList();
                rn.getSubsumedList.add(rnc);
            }
        }

        for(RuleNode rn:rootNodes){
            System.out.print("Root:");
            Queue q=new LinkedList();
            q.offer(rn);
            RuleNode father=null;
            while(!q.isEmpty()){
                RuleNode e=q.poll();
                if(e.r==null){
                    System.out.print("=>");
                    father=null;
                    continue;
                }
                if(father!=e.p){
                    System.out.print("||");
                    father=e.p;
                    q.offer(new RuleNode(null,null));
                }
                System.out.print(e.r+" ");
                if(e.getSubsumedList!=null) q.addAll(e.getSubsumedList);
            }
            System.out.println();
        }

    }


    /***********************************************************
     * Check the whole Ruleset. Print all possible subsumptions.
     * Change isIgnoreCNFOnRight value to control if CNF on right rule conflict should be printed.
     */
    public static Map> checkRuleSet(RuleSet rs) {

        HashMap> subsumMap = new HashMap>();
        int len = rs.rules.size();
        for (int i = 0; i < len; ++i) {
            Rule r = rs.rules.get(i);

            ArrayList getSubsumedRules = new ArrayList();
            ArrayList subsumerRules = new ArrayList();

            isRuleSubsumedByRuleSet(r, rs, getSubsumedRules, subsumerRules);

            if (subsumerRules.size() != 0) {
                HashSet l = subsumMap.get(i);
                if (l == null)
                    l = new HashSet();
                for (int k : subsumerRules) {
                    if (k != i)
                        l.add(k);
                }
                if (l.size() != 0)
                    subsumMap.put(i, l);
            }

            if (getSubsumedRules.size() != 0) {
                HashSet l;
                for (int h : getSubsumedRules) {
                    if (h == i)
                        continue;
                    l = subsumMap.get(h);
                    if (l == null)
                        l = new HashSet();
                    l.add(i);
                    subsumMap.put(h, l);
                }
            }
        }
        int count = 0;
        for (Integer r : subsumMap.keySet()) {
            for (Integer k : subsumMap.get(r)) {
                if (k > r) {
                    if (isIgnoreCNFOnRight)
                        if (rs.rules.get(r).rhs.cnf != null)
                            continue;
                    count++;
                    System.out.println("\nLine " + rs.rules.get(r).startLine + " and  " + rs.rules.get(k).startLine);
                    System.out.println("rules = \n" + rs.rules.get(r) + "\n.\n" + rs.rules.get(k));
                }
            }
        }
        System.out.println("There are total " + count + " need to be check.");
        return subsumMap;
    }

    /***********************************************************
     * get all the Rules in Ruleset that would be subsumed or subsums the rule r
     * should pass in the arraylist as result space
     */
    public static void isRuleSubsumedByRuleSet(Rule r, RuleSet rs, ArrayList getSubsumedRules, ArrayList subsumerRules) {

        getSubsumedRules.clear();
        subsumerRules.clear();
        CNF lc = Clausifier.clausify(r.lhs.deepCopy());
        for (int i = 0; i < rs.rules.size(); ++i) {
            CNF rc = rs.rules.get(i).cnf.deepCopy();
            if (isCNFSubsumedNaive(lc, rc)) {
                subsumerRules.add(i);
            }
            if (isCNFSubsumedNaive(rc, lc)) {
                getSubsumedRules.add(i);
            }
        }
    }

    /***********************************************************
     * check if CNF subsumed, naive implementation
     */
    private static boolean isCNFSubsumedNaive(CNF subsumer, CNF subsumed) {

        HashMap binding = subsumer.unify(subsumed);
        if (binding != null) {
            subsumed = subsumer.applyBindings(binding);
        }
        subsumed.clearBound();
        subsumer.clearBound();
        if (subsumed.clauses.size() < subsumer.clauses.size()) return false;
        //check if subsumed has all the clauses that subsumer has.
        if (subsumed.clauses.containsAll(subsumer.clauses))
            return true;
        return false;
    }

    /***********************************************************
     * //TODO
     */
    private static boolean isCNFSubsumed(CNF subsumer, CNF subsumed) {

        return false;
    }


}




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