| 1 | /* This file is part of the project "Hilbert II" - http://www.qedeq.org |
| 2 | * |
| 3 | * Copyright 2000-2014, Michael Meyling <mime@qedeq.org>. |
| 4 | * |
| 5 | * "Hilbert II" is free software; you can redistribute |
| 6 | * it and/or modify it under the terms of the GNU General Public |
| 7 | * License as published by the Free Software Foundation; either |
| 8 | * version 2 of the License, or (at your option) any later version. |
| 9 | * |
| 10 | * This program is distributed in the hope that it will be useful, |
| 11 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 12 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 13 | * GNU General Public License for more details. |
| 14 | */ |
| 15 | |
| 16 | package org.qedeq.kernel.bo.logic.proof.finder; |
| 17 | |
| 18 | import java.util.ArrayList; |
| 19 | import java.util.List; |
| 20 | |
| 21 | import org.qedeq.kernel.bo.common.Element2Utf8; |
| 22 | import org.qedeq.kernel.bo.log.ModuleLogListener; |
| 23 | import org.qedeq.kernel.se.base.list.Element; |
| 24 | import org.qedeq.kernel.se.base.module.Add; |
| 25 | import org.qedeq.kernel.se.base.module.FormalProofLineList; |
| 26 | import org.qedeq.kernel.se.base.module.Reason; |
| 27 | import org.qedeq.kernel.se.base.module.SubstPred; |
| 28 | import org.qedeq.kernel.se.dto.module.AddVo; |
| 29 | import org.qedeq.kernel.se.dto.module.FormalProofLineListVo; |
| 30 | import org.qedeq.kernel.se.dto.module.FormalProofLineVo; |
| 31 | import org.qedeq.kernel.se.dto.module.FormulaVo; |
| 32 | import org.qedeq.kernel.se.dto.module.ModusPonensVo; |
| 33 | import org.qedeq.kernel.se.dto.module.SubstPredVo; |
| 34 | |
| 35 | |
| 36 | /** |
| 37 | * Utilities for proofs finders. |
| 38 | * |
| 39 | * @author Michael Meyling |
| 40 | */ |
| 41 | public final class ProofFinderUtility { |
| 42 | |
| 43 | /** Maps new proof line numbers to old ones. */ |
| 44 | private List new2Old; |
| 45 | |
| 46 | /** |
| 47 | * Constructor. |
| 48 | * |
| 49 | */ |
| 50 | private ProofFinderUtility() { |
| 51 | // nothing to do |
| 52 | } |
| 53 | |
| 54 | /** |
| 55 | * Shorten given formal proof. |
| 56 | * |
| 57 | * @param lines Lines of formulas. |
| 58 | * @param reasons Reasons for derivation of formula. Must be Add, MP or SubstPred. |
| 59 | * @param log For BO logging. |
| 60 | * @param trans Transformer (used for logging). |
| 61 | * @return Reduced formal proof. |
| 62 | */ |
| 63 | public static FormalProofLineList shortenProof(final List lines, final List reasons, |
| 64 | final ModuleLogListener log, final Element2Utf8 trans) { |
| 65 | return (new ProofFinderUtility()).shorten(lines, reasons, log, trans); |
| 66 | } |
| 67 | |
| 68 | private FormalProofLineList shorten(final List lines, final List reasons, |
| 69 | final ModuleLogListener log, final Element2Utf8 trans) { |
| 70 | final boolean[] used = new boolean[lines.size()]; |
| 71 | int n = lines.size() - 1; |
| 72 | used[n] = true; |
| 73 | while (n >= 0) { |
| 74 | if (used[n]) { |
| 75 | Reason r = (Reason) reasons.get(n); |
| 76 | if (r instanceof ModusPonensBo) { |
| 77 | final ModusPonensBo mp = (ModusPonensBo) reasons.get(n); |
| 78 | used[mp.getN1()] = true; |
| 79 | used[mp.getN2()] = true; |
| 80 | } else if (r instanceof SubstPredBo) { |
| 81 | final SubstPredBo substPred = (SubstPredBo) reasons.get(n); |
| 82 | used[substPred.getN()] = true; |
| 83 | } else if (r instanceof Add) { |
| 84 | // ignore |
| 85 | } else { |
| 86 | throw new IllegalStateException("unexpected reason class: " + r.getClass()); |
| 87 | } |
| 88 | } |
| 89 | n--; |
| 90 | } |
| 91 | for (int j = 0; j < lines.size(); j++) { |
| 92 | if (used[j]) { |
| 93 | log.logMessageState(getUtf8Line(lines, reasons, j, trans)); |
| 94 | } |
| 95 | } |
| 96 | new2Old = new ArrayList(); |
| 97 | for (int j = 0; j < lines.size(); j++) { |
| 98 | if (used[j]) { |
| 99 | new2Old.add(new Integer(j)); |
| 100 | } |
| 101 | } |
| 102 | final FormalProofLineListVo result = new FormalProofLineListVo(); |
| 103 | for (int j = 0; j < new2Old.size(); j++) { |
| 104 | n = ((Integer) new2Old.get(j)).intValue(); |
| 105 | final Reason r = (Reason) reasons.get(n); |
| 106 | final Reason newReason; |
| 107 | if (r instanceof ModusPonensBo) { |
| 108 | final ModusPonensBo mp = (ModusPonensBo) reasons.get(n); |
| 109 | newReason = new ModusPonensVo("" + (1 + old2new(mp.getN1())), |
| 110 | "" + (1 + old2new(mp.getN2()))); |
| 111 | } else if (r instanceof SubstPredBo) { |
| 112 | final SubstPredBo substPred = (SubstPredBo) reasons.get(n); |
| 113 | newReason = new SubstPredVo("" + (1 + old2new(substPred.getN())), |
| 114 | substPred.getPredicateVariable(), substPred.getSubstituteFormula()); |
| 115 | } else if (r instanceof Add) { |
| 116 | final Add add = (Add) reasons.get(n); |
| 117 | newReason = new AddVo(add.getReference()); |
| 118 | } else { |
| 119 | throw new IllegalStateException("unexpected reason class: " + r.getClass()); |
| 120 | } |
| 121 | result.add(new FormalProofLineVo("" + (1 + j), |
| 122 | new FormulaVo((Element) lines.get(new2old(j))), |
| 123 | newReason)); |
| 124 | } |
| 125 | for (int j = 0; j < result.size(); j++) { |
| 126 | log.logMessageState(result.get(j).getLabel() + ": " |
| 127 | + trans.getUtf8(result.get(j).getFormula().getElement()) |
| 128 | + " " + result.get(j).getReason()); |
| 129 | } |
| 130 | return result; |
| 131 | } |
| 132 | |
| 133 | private int old2new(final int old) { |
| 134 | int result = new2Old.indexOf(new Integer(old)); |
| 135 | if (result < 0) { |
| 136 | throw new IllegalArgumentException("not found: " + old); |
| 137 | } |
| 138 | return result; |
| 139 | } |
| 140 | |
| 141 | private int new2old(final int n) { |
| 142 | final int result = ((Integer) new2Old.get(n)).intValue(); |
| 143 | return result; |
| 144 | } |
| 145 | |
| 146 | /** |
| 147 | * Get UTF-8 representation of proof line. |
| 148 | * |
| 149 | * @param lines Proof line formulas. |
| 150 | * @param reasons Proof line reasons. |
| 151 | * @param i Proof line to print. |
| 152 | * @param trans Transformer to get UTF-8 out of a formula. |
| 153 | * @return UTF-8 display text for proof line. |
| 154 | */ |
| 155 | public static String getUtf8Line(final List lines, final List reasons, final int i, |
| 156 | final Element2Utf8 trans) { |
| 157 | if (i < 0) { |
| 158 | return "beginning to prove"; |
| 159 | } |
| 160 | final StringBuffer result = new StringBuffer(); |
| 161 | result.append((i + 1) + ": "); |
| 162 | Reason reason = (Reason) reasons.get(i); |
| 163 | Element formula = (Element) lines.get(i); |
| 164 | return getUtf8Line(formula, reason, i, trans); |
| 165 | } |
| 166 | |
| 167 | /** |
| 168 | * Get UTF-8 representation of proof line. |
| 169 | * |
| 170 | * @param formula Proof line formula. |
| 171 | * @param reason Proof line reason. |
| 172 | * @param i Proof line number. |
| 173 | * @param trans Transformer to get UTF-8 out of a formula. |
| 174 | * @return UTF-8 display text for proof line. |
| 175 | */ |
| 176 | public static String getUtf8Line(final Element formula, final Reason reason, final int i, |
| 177 | final Element2Utf8 trans) { |
| 178 | final StringBuffer result = new StringBuffer(); |
| 179 | result.append((i + 1) + ": "); |
| 180 | result.append(trans.getUtf8(formula)); |
| 181 | result.append(" : "); |
| 182 | if (reason instanceof SubstPred) { |
| 183 | SubstPred s = (SubstPred) reason; |
| 184 | result.append("Subst " + s.getReference() + " "); |
| 185 | result.append(trans.getUtf8(s.getPredicateVariable())); |
| 186 | result.append(" by "); |
| 187 | result.append(trans.getUtf8(s.getSubstituteFormula())); |
| 188 | } else { |
| 189 | result.append(reason); |
| 190 | } |
| 191 | return result.toString(); |
| 192 | } |
| 193 | |
| 194 | } |