人工智能化为子句集的九步法实验

1、化为子句集的九步法实验报告实验目的1. 熟悉谓词公式化为子句集的九个步骤2. 理解消解（谓词公式化为子句集）规则，能把任意谓词公式转换成子句集。3. 学会谓词公式化为子句集实验原理任一谓词公式通过九步法可以化成一个子句集。九步法消解包括消去蕴含和等价符号、把否定符号移到紧靠谓词的位置上、变量标准化、消去存在量词、化为前束型、化为Skolem标准形、略去全称量词、消去合取词，把母式用子句集表示、子句换变量标准化，依次变换即可得到子句集。实验条件1. Window NT/xp/7及以上的操作系统2. 内存在512M以上3. CPU在奔腾II以上实验内容熟悉谓词公式转换成子句集的步骤，子句集转换演示

2、程序参考界面如下图1所示。图1 子句集转换演示程序参考界面实验分析1. 对默认谓词公式进行转换。进入程序，点击“语法检查”，再依次点击消解过程的九个步骤按钮，得到转换结果。2. 自定义转换目标。点击“清除”删除默认公式，利用界面键盘输入新的转换目标，用“大写字母”、“小写字母”按键进行输入中的字母变换。3. 语法检查。点击“语法检查”检查输入谓词公式的语法错误。如无错误，则依次点击步骤按钮进行转换。4. 重复运行2、3步，熟悉消解原理和转换过程。程序代码/化为子句集的九步法演示/作者:RanchoChan/时间/有bug#include#include#include#includeusing

3、 namespace std;/一些函数的定义void initString(string &ini);/初始化string del_inlclue(string temp);/消去蕴涵符号string dec_neg_rand(string temp);/减少否定符号的辖域string standard_var(string temp);/对变量标准化string del_exists(string temp);/消去存在量词string convert_to_front(string temp);/化为前束形string convert_to_and(string temp);/把母式化为

4、合取范式string del_all(string temp);/消去全称量词string del_and(string temp);/消去连接符号合取%string change_name(string temp);/更换变量名称/辅助函数定义bool isAlbum(char temp);/是字母string del_null_bracket(string temp);/删除多余的括号string del_blank(string temp);/删除多余的空格void checkLegal(string temp);/检查合法性char numAfectChar(int temp);/数字

5、显示为字符/主函数void main()cout-求子句集九步法演示-P);/orign = (#x)y(x);/orign = (x)x!b(x);/orign = (x!y);/orign = (a(b);string orign,temp;char command,command0,command1,command2,command3,command4,command5,command6,command7,command8,command9,command10;/=cout请输入(Y/y)初始化谓词演算公式command;if(command = y | command = Y)init

6、String(orign);elseexit(0);/=cout请输入(Y/y)消除空格command0;if(command0 = y | command0 = Y)/del_blank(orign);/undonecout消除空格后是endlorignendl;elseexit(0);/=cout请输入(Y/y)消去蕴涵项command1;if(command1 = y | command1 = Y)orign =del_inlclue(orign);cout消去蕴涵项后是endlorignendl;elseexit(0);/=cout请输入(Y/y)减少否定符号的辖域command2;i

7、f(command2 = y | command2 = Y)dotemp = orign;orign = dec_neg_rand(orign);while(temp != orign);cout减少否定符号的辖域后是endlorignendl;elseexit(0);/=cout请输入(Y/y)对变量进行标准化command3;if(command3 = y | command3 = Y)orign = standard_var(orign);cout对变量进行标准化后是endlorignendl;elseexit(0);/=cout请输入(Y/y)消去存在量词command4;if(com

8、mand4 = y | command4 = Y)orign = del_exists(orign);cout消去存在量词后是(w = g(x)是一个Skolem函数)endlorignendl;elseexit(0);/=cout请输入(Y/y)化为前束形command5;if(command5 = y | command5= Y)orign = convert_to_front(orign);cout化为前束形后是endlorignendl;elseexit(0);/=cout请输入(Y/y)把母式化为合取方式command6;if(command6 = y | command6 = Y)

9、orign = convert_to_and(orign);cout把母式化为合取方式后是endlorignendl;elseexit(0);/=cout请输入(Y/y)消去全称量词command7;if(command7 = y | command7 = Y)orign= del_all(orign);cout消去全称量词后是endlorignendl;elseexit(0);/=cout请输入(Y/y)消去连接符号command8;if(command8 = y | command8 = Y)orign = del_and(orign);cout消去连接符号后是endlorignendl;

10、elseexit(0);/=cout请输入(Y/y)变量分离标准化command9;if(command9 = y | command9 = Y)orign = change_name(orign);cout变量分离标准化后是(x1,x2,x3代替变量x)endlorignendl;elseexit(0);/=cout-完毕-endl;cout(请输入Y/y)结束endl;dowhile(y = getchar() | Y=getchar();exit(0);void initString(string &ini)char commanda,commandb;cout请输入您所需要转换的谓词公

11、式endl;cout需要查看输入帮助(Y/N)? commanda;if(commanda = Y | commanda = y)cout,全称量词为,存在量词为#,endl取反为,吸取为!,合取为%,左右括号分别为( 、 )，函数名请用一个字母endl;cout请输入(y/n)选择是否用户自定义commandb;if(commandb =Y| commandb=y)cinini;elseini = (x)(P(x)(y)(P(y)P(f(x, y)%(y)(Q(x,y)P(y);cout原始命题是endlini蕴涵项/ab变为a!bchar ctemp100=;string output;i

12、nt length = temp.length();int i = 0,right_bracket = 0,falg= 0;stack stack1,stack2,stack3;strcpy_s(ctemp,temp.c_str();while(ctempi != 0 & i = ctempi+1)/如果是ab则用a!b替代falg = 1;if(isAlbum(ctempi)/如果是字母则把ctempi弹出stack1.pop();stack1.push();stack1.push(ctempi);stack1.push(!);i = i + 1;else if() = ctempi)rig

13、ht_bracket+;doif( = stack1.top()right_bracket-;stack3.push(stack1.top();stack1.pop();while(right_bracket != 0);stack3.push(stack1.top();stack1.pop();stack1.push();while(!stack3.empty()stack1.push(stack3.top();stack3.pop();stack1.push(!);i = i + 1;i+;while(!stack1.empty()stack2.push(stack1.top();stac

14、k1.pop();while(!stack2.empty()output += stack2.top();stack2.pop();if(falg = 1)return output;elsereturn temp;string dec_neg_rand(string temp)/减少否定符号的辖域char ctemp100,tempc;string output;int flag2 = 0;int i = 0,left_bracket = 0,length = temp.length();stack stack1,stack2;queue queue1;strcpy_s(ctemp,temp

15、.c_str();/复制到字符数组中while(ctempi != 0 & i =0);queue1.push();while(!queue1.empty()tempc = queue1.front();queue1.pop();stack1.push(tempc);i +;while(!stack1.empty()stack2.push(stack1.top();stack1.pop();while(!stack2.empty()output += stack2.top();stack2.pop();if(flag2 = 1)temp = output;/*/char ctemp1100;s

16、tring output1;stack stack11,stack22;int falg1 = 0;int times = 0;int length1 = temp.length(),inleftbackets = 1,j = 0;strcpy_s(ctemp1,temp.c_str();while(ctemp1j != 0 & j =0 & times = 0)stack11.push(ctemp1j);if(ctemp1j = ()inleftbackets +;else if(ctemp1j = )inleftbackets -;if(inleftbackets = 1 & ctemp1

17、j+1 = ! & ctemp1j+2 != & ctemp1j+2 != #)falg1 =1;stack11.push();/stack11.push(%);stack11.push();stack11.push();/j = j+1;if(inleftbackets = 1 & ctemp1j+1 = % & ctemp1j+2 != & ctemp1j+2 != #)falg1 =1;stack11.push();/stack11.push(!);stack11.push();stack11.push();/j = j+1;j = j +1;if(falg1 = 1)stack11.p

18、ush();stack11.pop();stack11.push();/此处有bugstack11.push();/此处有bugj +;while(!stack11.empty()stack22.push(stack11.top();stack11.pop();while(!stack22.empty()output1 += stack22.top();stack22.pop();if(falg1 = 1)temp = output1;/*/char ctemp3100;string output3;int k = 0,left_bracket3 = 1,length3 = temp.leng

19、th();stack stack13,stack23;int flag = 0,bflag = 0;strcpy_s(ctemp3,temp.c_str();/复制到字符数组中while(ctemp3k != 0 & k =0)stack13.push(ctemp3k+1);if(ctemp3k+1 = ()left_bracket3 +;if(ctemp3k+1 = )left_bracket3 -;if(ctemp3k+1 = ! | ctemp3k+1 = %)bflag = 1;k +;stack13.pop();k +;while(!stack13.empty()stack23.pu

20、sh(stack13.top();stack13.pop();while(!stack23.empty()output3 += stack23.top();stack23.pop();if(flag = 1 & bflag = 0)temp = output3;return temp;string standard_var(string temp)/对变量标准化,简化,不考虑多层嵌套char ctemp100,des10= ;strcpy_s(ctemp,temp.c_str();stack stack1,stack2;int l_bracket = 1,falg = 0,bracket =

21、1;int i = 0,j = 0;string output;while(ctempi != 0 & i temp.length()stack1.push(ctempi);if(ctempi = | ctempi = #)stack1.push(ctempi+1);desj = ctempi+1;j+;stack1.push(ctempi+2);i = i + 3;stack1.push(ctempi);i+;if(ctempi-1 = ()while(ctempi != 0 & l_bracket != 0)if(ctempi = ()l_bracket +;if(ctempi = )l_

22、bracket -;if(ctempi = ( & ctempi+1 = )desj = ctempi+2;j+;if(ctempi+1 = ( & ctempi+2 = # )falg = 1;int kk = 1;stack1.push(ctempi);stack1.push();stack1.push(ctempi+2);i = i+3;if(ctempi = y)ctempi =w;stack1.push(ctempi);stack1.push();stack1.push();i = i+3;while(kk != 0)if(ctempi=()kk+;if(ctempi =)kk-;i

23、f(ctempi = y)ctempi =w;stack1.push(ctempi);i+;stack1.push(ctempi);i +;i +;while(!stack1.empty()stack2.push(stack1.top();stack1.pop();while(!stack2.empty()output += stack2.top();stack2.pop();if(falg = 1)return output;elsereturn temp;string del_exists(string temp)/消去存在量词char ctemp100,unknow;strcpy_s(c

24、temp,temp.c_str();int left_brackets = 0,i = 0,falg = 0;queue queue1;string output;while(ctempi != 0 & i temp.length()if(ctempi =( & ctempi+1 =#)falg = 1;unknow = ctempi+2;i = i+4;doif(ctempi = ()left_brackets +;if(ctempi = )left_brackets -;if(ctempi = unknow)queue1.push(g);queue1.push();queue1.push(

25、x);queue1.push();if(ctempi != unknow)queue1.push(ctempi);i+;while(left_brackets != 0);queue1.push(ctempi);i+;while(!queue1.empty()output+= queue1.front();queue1.pop();if(falg = 1)return output;elsereturn temp;string convert_to_front(string temp)/化为前束形char ctemp100;strcpy(ctemp,temp.c_str();int i = 0

26、;string out_var = ,output = ;while(ctempi != 0 & i temp.length()if(ctempi = ( & ctempi+1 = )out_var = out_var + ctempi ;/()out_var = out_var + ctempi+1 ;out_var = out_var +ctempi+2;out_var = out_var +ctempi+3;i = i + 4;output = output + ctempi;i+;output = out_var + output;return output;string conver

27、t_to_and(string temp)/把母式化为合取范式 ,Q/A?temp = (x)(y)(P(x)!(P(y)!P(f(x,y)%(P(x)!Q(x,g(x)%(P(x)!(P(g(x);return temp;string del_all(string temp)/消去全称量词char ctemp100;strcpy(ctemp,temp.c_str();int i = 0,flag = 0;string output = ;while(ctempi != 0 & i temp.length()if(ctempi = ( & ctempi+1 = )i = i + 4;flag = 1;elseoutput = output + ctempi;i +;return output;string del_and(string temp)/消去