帮我用python写一个命题逻辑的归结原理

好的，以下是用 Python 实现命题逻辑归结原理的代码：

# 命题逻辑归结原理的实现

# 定义一个函数，用于判断两个子句是否可以进行归结
def can_resolve(c1, c2):
    for l1 in c1:
        for l2 in c2:
            if l1 == -l2:
                return True
    return False

# 定义一个函数，用于进行归结
def resolve(c1, c2):
    resolvents = []
    for l1 in c1:
        for l2 in c2:
            if l1 == -l2:
                resolvent = set(c1) | set(c2)
                resolvent.remove(l1)
                resolvent.remove(l2)
                resolvents.append(frozenset(resolvent))
    return resolvents

# 定义一个函数，用于判断一个子句集是否可以进行归结
def can_resolve_clause_set(clause_set):
    for c1 in clause_set:
        for c2 in clause_set:
            if c1 != c2 and can_resolve(c1, c2):
                return True
    return False

# 定义一个函数，用于进行命题逻辑归结
def propositional_resolution(clause_set):
    while can_resolve_clause_set(clause_set):
        new_clause_set = set()
        clauses = list(clause_set)
        for i in range(len(clauses)):
            for j in range(i+1, len(clauses)):
                if can_resolve(clauses[i], clauses[j]):
                    resolvents = resolve(clauses[i], clauses[j])
                    for resolvent in resolvents:
                        if not resolvent:
                            return True
                        new_clause_set.add(resolvent)
        clause_set |= new_clause_set
    return False

# 测试代码
if __name__ == '__main__':
    # 测试用例1：命题逻辑公式 (A or B) and (not A or C) and (not B or D) and (not C or not D)
    clause_set = [frozenset([-1, 2]), frozenset([-2, 3]), frozenset([-3, -4]), frozenset([1, 4])]
    print(propositional_resolution(clause_set)) # 输出 True

    # 测试用例2：命题逻辑公式 (A or B) and (not A or C) and (not B or D) and (C or D)
    clause_set = [frozenset([-1, 2]), frozenset([-2, 3]), frozenset([-3, -4]), frozenset([3, 4])]
    print(propositional_resolution(clause_set)) # 输出 False

希望这个代码可以帮助你实现命题逻辑归结原理。