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b(:)g(:)g(:)c(;)g(非)28 b(A)28703757 y Fg(n)3299 3746 y Fu(2)523 3893 y(其中)f Fi(A)8253905 y Fg(i)881 3893 y Fu(are)f(atoms)h(p Fi(n)c Fh(025)gFi(m)g Fh(\025)g Fi(k)j Fh(\025)c Fu(0\))28 b(A)g Fj(w)n(eigh)n(t)f(约束)n(t)f(规则)h Fu(has)g(the)h(形式)612 4038y Fi(A)674 4050 y Fm(0)734 4038 y Fh()23 b Fi(L)14 bFh(f)p Fi(A)1015 4050 y Fm(1)1075 4038 y Fu(=)23 b Fi(w)12224050 y Fm(1)1259 4038 y Fi(;)14 b(:)g(:)克(:)g(;)g(A)15064050 y Fg(m)1592 4038 y Fu(=)23 b Fi(w)1739 4050 y F(m)18024038 y Fi(;)14 b(非)28 b(A)2049 4050 y Fg(m)p Fm(+1)22194038 y Fu(=)23 b Fi(w)2366 4050 y Fg(m)p Fm(+1)2514 4038y Fi(;)14 b(:)g(:)g(:)f(;)h(非)28 b(A)2908 4050 y Fg(n)29764038 y Fu(=)23 b Fi(w)3123 4050 y Fg(n)3169 4038 y Fh(g)32994039 y Fu(\(3\))523 4186 y(其中)34 b Fi(A)832 4198 yFm(0)904 4186 y Fu(is)h(an)f(atom)g(or)g(the)h(sym)n(b)r(ol)fFh(?)p Fu(,)h Fi(A)2071 4198 y Fm(1)2108 4186 y Fi(;)14b(:)克(:)g(:)g(:)c(;)g(A)2355 4198 y Fg(n)2435 4186 y Fu(are)33b(原子)h(()p Fi(n)h Fh(025)f Fu(0),)h(和)f Fi(L)5234286 y 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a Fk(2.2)95 b(基本)31 b(嵌套)g(程序)523600 y Fu(A)d Fj(基本)f(嵌套)h(规则)f Fu(is)h(an)f(表达式)f(of)h(形式)h(形式)624 763 y Fi(A)686 775 y Fm(0)746 763 y Fh()23b Fi(A)914 775 y Fm(1)952 763 y Fi(;)14 b(:)g(:)克(:)g(;)g(A)1199775 y Fg(k)1240 763 y Fi(;)g(not)27 b(A)1486 775 y F(k)qFm(+1)1611 763 y Fi(;)14 b(:)g(:)g(:)c(;)g(非)28 b(A)2006775年Fg(m)2069年763年Fi(;)14年b(非)28年b(不)f(A)2463775 y Fg(m)p Fm(+1)2611 763 y Fi(;)14 b(:)g(:)g(:)f(;)h(非)28b(非)g(A)3153 775 y Fg(n)3299 764 y Fu(4)523 928y(其中)e Fi(A)824 940 y Fm(0)888 928 y Fu(is)g(an)h(atom)f(or)f(the)i(sym)n(b)r(ol)f Fh(?)p Fu(,)g(和)h Fi(A)2158 940 y Fm(1)2195928年Fi(;)14磅(:)克(:)g(:)g(;)g(A)2442 940年Fg(n)2514928 y Fu(are)25 b(atoms)h()p Fi(n)d Fh(025)g Fi(m)gFh(\025)f Fi(k)k Fh(\025)523 1027 y Fu(0\)。)f(The)g(列表)g(连词“)f Fi(A)1605 1039 y Fm(1)1643 1027y Fi(;)14 b(:)g(:)g(:)gg(;)g(A)1890 1039 y Fg(k)1956 1027y Fu(in)25 b(the)g(the)r(o)r(dy)g(of)g(the)g(rule)g(will)g(b)r(e)g(称为)g(the)523 1127 y Fj(p)r(ositiv)n(e)i(part)g Fu(of)h(the)g(b)r(o) r(dy)-7 b(.)648 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Fu(The)k(results)g(of)10752303年([)1098 2310年(8)1140 2303年2303 y([)1390 2310 y(3,)f(章节)i(4.3)1895 2303 y2310年(sho)n(w)e(that)i(c)n(hoice)e(rules)g(and)h(w)n(eigh)n(t)g(con-)523 2409 y(菌株)n(t)26 b(规则)g(可以)g(b)r(e)h(排除)g(来自)f(a)g(lparse)g(program)f(at)h(the)h(价格)f(of)h(in)n(tro)r(duc-)5232509 y(ing)c(额外)g(原子)1286 2479 y Fm(6)13462509 y Fu(In)h(other)e(w)n(ords)h(an)n(y)f(lparse)g(program)g(can)h(b)r(e)h(转向)f(in)n(转向)g(an)523 2608 y(本质)n(基本)28b(等价)-5 b(alen)n(t)28 b(集合)h(of)g(基本)f(规则)g(此)h(事实)g(is)g(imp)r(ortan)n(t)f(for)h(the)g(design)f(of)523 2708y Fn(cmodels)p Fu(,)e(b)r(因为)f(the)i(通常)e(定义)i(of)f(程序)e(完成)2791 2701 y([)2815 2708 y(9)28572701年(])2905 2708年(co)n(v)n(ers)g(两者都不是)523 2808y(c)n(选项)j(规则)g(nor)g(w)n(eigh)n(t)g(约束)n(t)f(规则)6482907年(The)h(computative)g(pro)r(cedure)g(emplo)n(y)n(ed)g(in)gFn(cmodels)h Fu(使用)f(a)g(翻译)g(即)523 3007y(is)40 b(类似)g(to)h(the)f(one)h(de\014ned)f(in)17493000 y([)1772 3007 y(3,)h(截面)f(4.3)2288 3000 y(])23513007 y(但)h(pro)r(duces)f(programs)e(of)i(a)523 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Fl(6)606 4742 y Ft(In)k(the)h(\014rst)f(pap)r(er)h(this)g(定理)f(is)i(陈述)f(only)g(for)g(the)g(case)g(of)h(cardialit)n(y)f(约束)n(t)606 4833 y(规则)j(所有)h(w)n(eigh)n(ts)f(are)g(相等)g(至)f(1)。)i(另一个)d(adv)l(an)n(阶段)i(of)g(翻译)g(de \014ned)f(in)606 4924 y(the)25 b(second)h(pap)r(er)g(is)g(that)g(it)f(is)i(more)e(economic.)p人%%页码:4 44 3 bop 523 448 a Fu(The)28 b(completion)f(of)h(this)f(program)f(is)1790 595年Fi(p)d Fh(\021)g(::)p Fi(p)1790 695年(q)jFh(\021)d(::)p Fi(q)1790 794 y(r)j Fh(\021)d Fi(p)18b Fh(_)h Fi(q)s(:)3299 696 y Fu(\(7))523 947 y(T)-7b(o)25 b(\014nd)h(the)f(answ)n(er)f(sets)h(for)g(program)e(\(5\),)iFn(cmodels)g Fu(calls)g(a)g(SA)-7 b(T)25 b(solv)n(er)f(to)h(\014nd)h(the)523 1047 y(mo)r(dels)i(of)f(\(7\)。)523 1288 y Fo(3)112年b(操作)s(操作)37 b(of)h(CMODELS)523 1463 y Fu(In)28b(pro)r(cess)e(of)i(its)g(op)r(eration),e Fn(cmodels)5171599 y Fu(1)41 b(simpli-014es)28 b(the)g(giv)n(en)f(lparse)f(程序)517 1692 y(2)41 b(圈)28 b(it)g(in)n(to)f(a)g(基本)g(嵌套)h(程序)517 1786 y(3)41 b(v)n(eri 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4795 y(H)7 b(ead)22 b Fh(Fi(B)t(ody)1702 4894 y(\005)1778 4864 y Fe(0)1801 4894y Fi(:)p人%%页码:5 55 4 bop 523 448 a Ff(示例)31 b(1.)42 b Fu(Let)28 bFi(\005)34 b Fu(b)r(e)28 b(the)g(程序)1747 605 y Fi(a)23b Fh()g Fi(b;)14 b Ff(非)35 b Fi(c)1747 704 y(d)23b Fh()g Ff(非)36 b Fi(a)1747 804 y(c)23 b Fh()g Ff(非)35b Fi(d:)523 970 y Fu(The)29 b(only)g(answ)n(er)f(set)i(for)f(this)g(程序)f(is)h Fh(f)p Fi(d)p Fh(g)p Fu(.)g(Consequen)n(tyly)-7b(,)28 b Fi(At)2803 940 y Fm(+)2859 970 y Fu(\()p Fi(\005)7b Fu(\))26 b(=)f Fh(f)p Fi(d)p Fh(g)k Fu(和)523 1070y Fi(At)615 1040 y Fe(\000)671 1070 y Fu(()p Fi(\005)7b Fu(\))36 b(=)f Fh(f)p Fi(a)14 b(b;)g(c)p Fh(g)p Fu(.)33b(根据)h(to)h(定理)g(1,)f Fi(\005)42 b Fu(has)35b()g(相同)f(answ)n(er)g(集合)h(as)523 1169 y(程序)17721264 y Fh()23 b Fi(b)1772 1363 y(d)g Fh(b Fi(a)1772 1463 y(c)23 b Fh()g Ff(not)36 b Fi1601 y Fu(F)-7 b(或)27 b(本)h(程序)d Fi(\005)12421570年Fe(0)1266 1601年Fu(,)1491 1700年Fi(At)1583 1666年y Fm(+)1638 1700 y Fu(\()p-Fi(\005)1746 1666 y Fe(0)17701700年Fu(\)e(=)g 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Fh()23 b Fi(F)1565 732 y(H)7 b(ead)23b Fh()g Fi(L)18 b Fhb Fh(g)1565 832 y Fi(\005)1641 801 y Fe(0)1664 832 yFi(:)523 1014 y Ff(示例)31 b(2.)42 b Fu(Let)28 b Fi(\005)34b Fu(b)r(e)28 b(the)g(program)1405 1193 y Fh(f)p Fi(a)pFh(g)1405 1293 y Fi(c)23 b Fh()g Fu(4)p Fh(f)p Fi(a)fFu(=)h(1)p Fi(;)14 b(b)22 b Fub Fi(d)23 b Fu(=)g(2)p Fh(g)p Fi(:)523 1482 y Fu(The)i(answ)n(er)f(集合)h(用于)g(此)h(程序)d(are)i Fh(f)p Fi(a)p Fh(g)fFu(and)h Fh(;)p Fu(.)g(Consequen)n(tly)-7 b(,)25 b Fi(At)28981452 y Fm(+)2953 1482 y Fu(()p Fi(\005)7 b Fu())24b(=)e Fh(;)j Fu(和)523 1582 y Fi(At)615 1552 y Fe(\000)6711582 y Fu(\()p Fi(\005)7 b Fu(\))24 b(=)e Fh(f)p Fi(b;)14b(c;)g(d)p Fh(g)p Fu(.)24 b(根据)f(to)i(定理)e(3,)iFi(\005)31 b Fu(has)24 b(the)h(same)f(answ)n(er)f(sets)i(as)f(the)5231681年(计划)1517 1779年Fh(f)p Fi(a)p Fh(g)1517 1878y()f Fi(b)1517 1978 y(c)g Fh()g Fu(4)p Fh(f)p Fi(a)fFu(=)h(1)p Fi(;)14 b Ff(非)35 b Fi(d)23 b Fu(=g(2)pFh(g)p Fi(:)523 2132 y Fu(F)-7 b(或)27 b(本)h(程序)dFi(\005)1242 2101 y Fe(0)1266 2132 y Fu(,)1533 2234 yFi(At)1625 2200 y Fm(+)1681 2234 y Fu(\()p Fi(\005)17892200 y Fe(0)1812 2234 y Fu(\)e(=)g Fi(At)2047 2200 yFm(+)2102 2234 y Fu(()p Fi(005)7 b Fu())24 b(=)e Fh(;)5232387 y Fu(和)1406 2490 y Fi(At)1498 2456 y Fe(\000)15542490 y Fu(()p Fi(005)1662 2456 y Fe(0)1685 2490 y Fo()i(=)eFi(At)1920 2456 y Fe(\000)1977 2490 y Fu(\()p Fi(\005)7b Fu(\))23 b(=)g Fh(f)p Fi(b);)14 b(c;)g(d)p Fh(g)pFi(:)5232643 y Fu(By)27 b(定理)g(4),h Fi(005)1283 2612y Fe(0)1334 2643 y Fu(has)f(the)h(same)f(answ)n(er)f(sets)h(as)17102827 y Fh(f)p Fi(a)p Fh(g)1710 2926 y()c Fi(b)1710 3026y Fh()g Fi(d)1710 3125 y(c)g Fh()g Fu(2)p Fh(f)p Fi(a)fFu(=)g(1)p Fh(g)p Fi(:)648 3319 y Fu(The)j Fn(smodels)hFu(pro)r(cedures)e Ff(A)n(tmost)33 b Fu(and)26 b Ff(A)n(tle)l(ast)23233312 y Fu([)2346 3319 y(11,)f(章节)h(4.1{4.3)30563312 y(])d([)3125 3319 y(12,)i(第523节3419 y(tion)35b(7)743 3412 y(])766 3419 y(,)g(应用)h(到)f(a)g(程序)eFi(\005)42 b Fu(and)35 b(the)h(empt)n(y)g(set)f(\014nd)h(a)f(subset)g(共)g Fi(At)3209 3389 y Fm(+)3265 3419 y Fu(\()p Fi(\005)7b Fu(\))523 3519 y(和)33 b(a)f(子集)g(of)h Fi(At)12153488 y Fe(000)1271 3519 y Fu(()p Fi(005)7 b Fu())33b(此)g(部分)f(of)h(the)g(co)r(de)f(of)h Fn(smodels)fFu(is)h(incorp)r(orated)e(in)523 3618 y Fn(c模型)pFu(,)f(和)g(the)h(sets)f(computed)h(b)n(y)f(these)h(pro)r(cedures)e(are)g(used)h(to)h(simplize)g(the)523 3718 y(program)26b(in)h(根据)f(根据)i(定理)f(1{4.)523 3972 yFk(3.2)95 b(T)-8 b(翻译)32 b(到)f(a)i(基本)e(嵌套)g(程序)523 4144 y Fu(As)24 b(讨论)g(ab)r(o)n(v)n(e)e(b)r(之前)i(p)r执行f(the)h(completion)g(pro)r(cedure)f Fn(cmodels)hFu(con-)523 4243 y(v)n(erts)k(the)g(simpli\014ed)h(lparse)f(program)e(in)n(to)j(a)f(basic)f(嵌套)i(program)e(使用)h(the)h(ideas)5234343年(共)621 4336年([)645 4343年(3)687 4336年(])7094343 y(.)j(In)f(Section)h(2.3)e(w)n(e)i(sa)n(w)e(an)h(示例)g(of)h(翻译)e(a)h(c)n(hoice)g(规则)g(in)n(到)g(a)g(集合)5234443 y(of)f(基本)g(嵌套)g(规则)g(否)n(w)g(w)n(e)f(将)i(考虑)e(a)h(示例)g(of)g(消除)g(a)g(w)n(eigh)n(t)5234542 y(约束)n(t)39 b(规则| an)g(op)r(操作)h(即)g(ma)n(y)f(in)n(v) n(olv)n(e)g(the)i(in)n(tro)r(duction)e(of)h(auxiliant)5234642 y(原子)523 4822 y Ff(示例)31 b(3.)42 b Fu(The)28b(规则)1485 4923 y Fi(p)23 b Fh()g Fu(3)14 b FhFi(q)25 b Fu(=)d(3)p Fi(;)14 b(r)26 b Fub(s)23 b Fu(=)f(2)p Fh(g)p eop%%页码:7 77 6 bop 523 448 a Fu(is)28 b(\014rst)f(替换)g(b)n(y)g(四)g(更简单)g(规则:)1521 622 y Fi(p)22 b Fh()i Fi(aux)1831634 y Fm(1)1521 722 y Fi(aux)1660 734 y Fm(1)1720 722y Fh()f Fu(3)14 b Fh(f)p Fi(r)25 b Fu(=)d(2)p Fi(;)14b(s)23 b Fu(=)f(2)p Fh(g)1521 821 y Fi(p)g Fh()i Fi(q)s(;)14b(aux)1908 833 y地层(2)1521 921 y地层(aux)1660 933 y地层(2)1720921 y Fh()23 b Fu(0)14 b Fh(f)p Fi(r)25 b FuFi(;)14 b(s)23 b Fu(=)f(2)p Fh(g)p Fi(:)523 1096 y Fu(In)n(tuitiv)n(ely)-7 b(,)19 b(the)g(\014rst)f(pair)g(of)h(rules)f(corresp)r(onds)f(to)h(the)h(answ)n(er)f(sets)g(that)h(don’t)g(con)n(tain)5231196 y Fi(q)s Fu(,)31 b(and)f(the)h(second)g(pair)f(to)g(the)h(answ)n(er)e(集合)i(that)g(do)f(The)h(辅助)e(v)-5 b(变量)30b Fi(aux)3368 1208 y Fm(1)523 1296 y Fu(is)k(an)h(缩写“)d对于i(the)h(expression)e(3)14 b Fh(f)p Fi(r)36 b Fu(=)e(2)pFi(;)14 b(s)34 b Fu(=)g(2)p Fh(g)p Fu(,)f(和)i Fi(辅助)29681308 y Fm(2)3039 1296 y Fu(支架)g(用于)523 1395 y(0)14b Fh(f)pFi(r)25 b Fu(=)dFh(g)p Fu(.)d(Since)g(the)g(last)g(expression)e(is)i(iden)n(taly)g(真)g Fi(aux)2803 1407 y Fm(2)2859 1395 y Fu(can)g(b)r(e)g(dropp)r(d)523 1495 y(from)27 b(the)h(program);e(w)n(e)h(get)15321668年Fi(p)c Fh()g Fi(aux)1842 1680年Fm(1)1532 1768y Fi(aux)1671 1780 y Fm(1)1731 1768 y Fh()g Fu(3)14年b Fh(f)pFi(r)25 b Fu(=)eFh(g)1532 1868 y Fi(p)g Fh()g Fi(q)s(:)523 2043 y Fu(The)28b(下一步)f(步骤)h(is)g(类似:)1647 2137 y Fi(p)22 b Fh()iFi(aux)1957 2149 y Fm(1)1647 2237 y Fi(aux)1786 2249y Fm(1)1846 2237 y Fh()f Fi(aux)2091 2249 y Fm2337γ-Fi(aux)1786 2349γ-Fm(3)1846 2337γ-Fh()g Fu(3)14b Fh(f)p Fi(s)22 b Fu(=)g(2)p Fh(g)1647 2436 y Fi(aux)17862448 y Fm(1)1846 2436 y Fh()h Fi(r)n(;)14 b(aux)21632448 y Fm(4)1647 2536 y Fi(aux)1786 2548 y Fm(4)18462536 y Fh()23 b Fu(1)14 b Fh(f)p Fi(s)22 b Fu(=)g(2)pFh(g)1647 2635 y Fi(p)g Fh()i Fi(q)s(:)523 2784 y Fu(此处)29b Fi(aux)860 2796 y Fm(3)927 2784 y Fu(代表)g(代表)f(3)14b Fh(f)p Fi(s)25 b Fu(=)h(2)p Fh(g)p Fu(,)i(和)i Fi(aux)20072796 y Fm(4)2073 2784 y Fu(支架)f(用于)g(1)14 b Fh(f)pFi(s)25 b Fu(=)g(2)p Fh(g)p Fu(.)k(自)h(3)14 b Fh(f)pFi(s)24 b Fu(=)i(2)p Fh(g)523 2883 y Fu(is)i(iden)n(taly)f(false)g(the)h(程序)e(can)h(b)r(e)h(simpli\014ed)g(as)f(follo)n(ws:)16473057 y Fi(p)22 b Fh()i Fi(aux)1957 3069 y Fm(1)16473157 y Fi(辅助)1786 3169 y Fm(1)1846 3157 y Fh()f Fi(r)n(;)14b(辅助)2163 3169 y Fm(4)1647 3256 y Fi(辅助)1786 3268 yFm(4)1846 3256 y Fh()23 b Fu(1)14 b Fh(f)p Fi(s)22 bFu(=)g(2)p Fh(g)1647 3356 y Fi(p)g Fh()i Fi(q)s(:)5233536 y Fu(Finally)-7 b(,)33 b(w)n(e)h(use)f(the)h(fact)f(that)h(1)pFh(f)p Fi(s)d Fu(=)i(2)p Fh(g)f Fu(can)h(b)r(e)h(equiv)-5b(alen)n(ty)33 b(替换)g(b)n(y)g Fi(s)p Fu(,)g(和)5233635 y(arriv)n(e)26 b(at)h(a)g(set)h(of)g(basic)f(规则:)16873793 y Fi(p)c Fh()g Fi(aux)1997 3805 y Fm(1)1687 3893y保真(aux)1826 3905 y Fm(1)1886 3893 y Fh()h保真(r)n(;)14b(辅助)2204 3905 y Fm(4)1687 3992 y Fi(辅助)1826 4004 yFm(4)1886 3992 y Fh()24 b Fi(s)1687 4092 y(p)f Fh(Fi(q)s(:)648 4267 y Fu(Ev)n(ery)k(辅助)h(原子)g(in)n(tro)r(诱导)h(in)g(the)h(pro)r(cess)e(of)h(平移)f(a)g(w)n(eigh)n(t)h(con-)5234367 y(菌株)n(t)e(规则)g(3)h(缩写“)d(an)i(表达式)g(即)g(di\013ers)h(来自)f(the)h(b)r(o)r(dy)779 4546y Fi(L)14 b Fh(f)p Fi(A)954 4558 y Fm(1)1014 4546 y Fu(=)22bFi(w)1160 4558 y Fm(1)1198 4546 y Fi(;)14 b:)g(:)g(;)g(A)14454558 y Fg(m)1531 4546 y Fu(=)22 b Fi(w)1677 4558 y F g(m4546 y Fi(;)14 b(非)28 b(A)1988 4558 y Fg(m)p Fm(+1)21584546 y Fu(=)23 b Fi(w)2305 4558 y Fg(m)p Fm(+1)2452 4546y Fi(;)14 b(:)g(:)g(:)c(;)g(非)27 b(A)2846 4558 y Fg(n)29154546 y Fu(=)c Fi(w)3062 4558 y Fg(n)3107 4546 y Fh(g)5234725 y Fu(of)31 b(that)h(rule)f(in)g(t)n(w)n(o)f(w)n(a)n(ys:)g(the)i(lo)n(w)n(er)d(b)r(ound)j Fi(L)f Fu(is)g(替换)f(b)n(y)h(an)g(in)n(总)f(b)r(et)n(w)n(een)523 4825 y(1)d(and)h Fi(L)pFu(,)g(和)f(the)i(list)f(of)f(equalities)h(in)g(the)g(brac)n(k)n(ets)e(is)i(替换)f(b)n(y)h(its)g(prop)r(er)e(non-)523 4924y(empt)n(y)h(su\016x.)f(It)h(follo)n(ws)e(that)i(the)g(n)n(um)n(b)r(er)f(of)g(辅助)f(原子)h(in)h(平移)g(平移)e(of)p电子操作程序%%页码:8 88 7 bop 523 448 a Fu(规则)26 b(3)h(do)r(es)g(不)g(超过)fFi(L)p Fu()p Fi(n)16 b Fh(000)h Fu(1)。)26 b(If)h(3)g(is)g(a)f(基数)n(y)g(约束)n(t)f(规则)i(即g(is)523548 y Fi(w)582 560 y Fm(1)649 548 y Fu(=)i Fh(\001)14b(001)g(001)29 b Fu(=)g Fi(w)1022 560 y Fg(n)1097 548y Fu(=)g(1\)i(然后)h(w)n(e)f(can)f(也)h(sa)n(y)f(that)h(the)h(lo)n(w) n(er)e(b)r(ound)i(is)f(替换)f(b)n(y)523 648 y(an)g(in)n(teger)f(b) r(et)n(w)n(een)i Fi(L)19 b Fh(\000)h Fi(n)g Fu(+)g(1)30b(和)g Fi(L)p Fu(,)g(so)g(即)g h(n)n(um)n(b)r(er)f(of)g(辅助)f(原子)h(in)523 747 y(平移)e(of)h(a)g(cardialit)n(y)f(constraint)n(t)g(rule)h(can)g(b)r(e)g(estimate)h(来自)e(ab)r(o)n(v)n(e)g(b)n(y)523 847 y Fi(n)p Fu(\()pFi(n)18 b Fh(\000)g Fu(1)。)523 1096 y Fk(3.3)95 b(V)-8b(验证)31 b(Tigh)m(tness)523 1262 y Fu(The)40 b(de \014inition)g(of)g(a)g(绝对)f(tigh)n(t)h(程序)e(b)r(elo)n(w)i(is)f(a)h(sp)r(特殊)g(case)f(of)h(the)523 1362 y(de)h(from)11131355 y([)1136 1362 y(6,)f(截面)g(5)1586 1355 y1362 y(,)g(whic)n(h)g(is)g(基于)g(on)2390 1355 y([)24131362年(4)2455 1355年(])2477年(.)h(Answ)n(er)e(sets)h(for)g(suc)n(h) f(a)523 1462 y(程序)d(are)i(iden)n(tical)g(to)g(the)h(mo)r(dels)fg(s)h(完成)f()2616 1455 y([)2639 1462 y(4)26811455y(])2704 1462 y(,)g(定理)g(3.2;)3294 1455 y([)33171462年(6)3359 1455年(])3382 1462年,(,)523 1561年(推论)25b(6))648 1661年(The)j Fj(p)r(positiv)n(e)g(dep)rFu(of)g(a)g(basic)f(嵌套)i(程序)d Fi(\005)35 b Fu(is)28b()h(有向)523 1761 y(图)d Fi(G)i Fu(suc)n(h)G(that)5751927年Fk({)41 b Fu(the)28 b(v)n(ertexes)e(of)i Fi(G)GFu(are)f(the)g(atoms)g(o)r(curring)g(in)g Fi(\005)7b Fu(,)575 2027 y Fk({)41 b Fi(G)29 b FuFi(A)g Fu(to)g Fi(A)1663 1996年y Fe(0)1715 2027年y Fu(if)hFi(\005)35 b Fu(has)27 b(a)h(rule)g(with)g(the)h(head)fFi(A)2875 1996年y Fe(0)2927 2027年y Fu(that)g(con)n(tains)6642126 y Fi(A)g Fu(in)g(the)g(p)r(ositiv)n(e)f(part)g(of)h(the)g(b)r(o)r(dy)-7 b(.)523 2292 y(A)28 b(程序)e(is)h Fj(绝对)g(tigh)n(t) h Fu(if)g(its)g(p)r(positiv)n(e)f(dep)r(循环)523 2467 y Ff(示例)k(4.)42 b Fu(The)28 b(p)r(ositiv)n(e)f(dep)r(endency)h(graph)e(of)i(the)g(program)1705 2644y Fi(p)23 b Fh()g Ff(非)36 b(非)f Fi(p)1705 2744 y(p)22b Fh()g Fi(q)1705 2844 y(q)k Fh(,c Fi(p)3299 2745 yFu(8)523 3022 y(包含)h(of)h(t)n(w)n(o)e(v)n(ertex)hFi(p)g Fu(和)h Fi(q)j Fu(and)c(t)n(w)n(o)g(边)g(自)gFi(p)h Fu(到)f Fi(q)k Fu(和)d(从)f Fi(q)k Fu(到)cFi(p)p Fu(.)h(The)523 3122 y(graph)h(has)i(a)f(cycle)g(and)g(there)h(程序)e(is)h(not)h(tigh)n(t.)648 3297 y(Before)d(v)n(验证)g(是否)g(该)i(基本)e(嵌套)h(程序)e(生成)h(从)h(该)g(输入)523 3396 y(is)h(tigh)n(t)g Fn(c模型)f Fu(应用)g(to)h(it)g(t) n(w)n(o)f(变换)f(that)i(有时)f(turn)h(a)f(non-)5233496 y(tigh)n(t)i(program)d(in)n(to)j(a)f(tigh,t)g(program.)f(First,)i(it)g(drops)e(all)i(rules)f(of)g(the)h(form)1678 3679y Fi(A)23 b Fh()g Fi(:)14 b(:)g3861 y Fu(Ob)n(vioully)25 b(a)h(program)e(con)n(taining)h(suc)n(h)h(规则)g(不能)f(b)r(e)i(tigh)n(t,)f(and)g(remo)n(ving)f(these)5233961 y(规则)i(来自)g(a)h(程序)d(do)r(es)i(非)h(c)n(change)e(its)i(answ)n(er)e(集合)648 4061 y(秒)h(如果)h(程序)e(con)ng(a)h(规则)h(形式)1685 4242 y Fi(a)23b Fh()g Ff(非)36 b(非)f Fi(A)3299 4243 y Fu(9))5234426 y(then)c Fn(cmodels)f Fu(替换)f(all)g(o)r(currences)g(of)hFi(A)h Fu(in)f(the)h(p)r(ositiv)n(e)f(parts)f(of)h(the)h(b)r(o)r(dies)523 4526年(共)h(规则)f(共)g(程序)d(b)n(y)jFf(非)40 b(非)g Fi(A)p Fu(.)32 b(F)-7 b(或)32b(实例)g(in)h(应用)f(to)g(pro-)523 4625 y(gram)21 b(8),i(this)f(转换)f(插入)h Ff(非)30 b(非)g Fu(in)23b(fron)n(t)f(of)g Fi(p)g Fu(in)h(its)f(last)g(rule),g(and)h(the)5234725 y(程序)j(b)r(ecomes)i(tigh)n(t.)h(The)f(prop)r(position)f(b)r(elo)n(w)h(sho)n(ws)f(that)i(this)f(is)g(an)g(equiv)-5b(alen)n(t)523 4825 y(转换)31 b(回忆)h(即)g(a)g(程序)f Fi(\005)2037 4837 y Fm(1)2106 4825 y Fu(is)i Fj(强)e(等价)-5b(alen)n(t)32 b Fu(to)g(a)g(程序)523 4924 y Fi(\005)5924936 y Fm(2)657 4924 y Fu(如果,)c(对于)f(an)n(y)g(程序)fFi(\005)7 b Fu(,)27 b Fi(/005)1568 4936 y Fm(1)1624 4924y Fh([)19 b Fi(\005)34 b Fu(has)27 b(the)h(same)f(answ)n(er)f(sets)i(as)e Fi(\005)2908 4936 y Fm(2)2964 4924 y Fh([)19 bFi(\005)3141 4917 y Fu([)3164 4924 y(13)3248 4917 y(])32714924年(.)人口%%页码:9 99 8 bop 523 448 a Fk(定理)30 b(5.)41 b Ff(a)n(ny)30b(b)l(asic)g(嵌套)l(d)g(pr)l(o)l(gr)l620 y Fi(H)7 b(ead)23 b Fh()g Fi(A);14 b(b)t(ody)1652720 y(A)23 b Fh()g Ff(非)38 b(非)f Fi(A)523 894 yFf(is)30 b(str)l(ongly)g(e)l(等效)g(to)g(the)g(pr)l1498 1065 y Fi(H)7 b(头)22 b Fh()H Fi(b)t(体)s(;)14b Ff(非)38 b(非)f Fi(A)1498 1165 y(A)23 b Fh()g Ff(不)37b(非)h Fi(A:)648 1339 y Fu(During)32 b(the)i(tigh)n(tness)f(v)n(eri\014位置)e(步骤,)j Fn(cmodels)e Fu(构建)i()f(p)r(ositiv)n(e)g(dep)r(en-)523 1438 y(dency)28 b(graph)e(and)i(uses)f(a)g(standard)g(深度)h(\014rst)f(searc)n(h)f(算法)2787 1431 y([)28101438 y(14,)h(截面)g(23.3)3383 1431 y(])523 1538 y(to)i(检测)g(a)g(循环)g(in)g(it)g(T)-7 b(o)29 b(b)r(e)g(更多)g(精确)f(the)h(算法)f(is)h(应用)g(到)g(子)523 1638y(图)21 b(of)i(the)g(p)r(positiv)n(e)f(dep)r(endency)g(图)g(that)h(do)r(es)f(not)g(con)n(tain)g(some)g(inessen)n(tial“)5231737 y(v)n(ertexes:)575 1898 y Fk({)41 b Fu(the)28 b(原子)f(that)h(do)f(非)h(o)r(ccur)f(in)h(the)g(heads)f(of)g(rules)g(and)5751997年y Fk({)41 b Fu(the)28 b(atoms)f(that)h(o)r(ccur)f(in)h(rules)f(of)g(h(形式)g(9)。)523 2241 y Fk(3.4)95 b(简化)28b(和)33 b(条款)e(完成)523 2403 y Fu(完成)f(of)h(a)g(基本)f(嵌套)h(程序)d Fi(\005)41 b Fu(can)33b(b)r(e)i(形式)e(as)g(follo)n(ws.)g(First,)523 2503y(in)d(the)g(b)r(o)r(dy)g(of)g(ev)n(ery)e(rule)h(of)hFi(\005)36 b Fu(替换)29 b(eac)n(h)g(o)r(发生)f(of)iFf(非)37 b Fu(含)30 b Fh(:)g Fu(和)g(eac)n(h)5232603 y(逗号)i(with)h Fh(^)p Fu(.)g(Second,)f(for)g(ev)n(ery)f(atom)iFi(A)f Fu(mak)n(e)g(the)h(list)g(of)f(all)g(rules)g(in)hFi(\005)39 b Fu(with)523 2702 y(the)28 b(head)f Fi(A)pFu(:)1759 2802 y Fi(A)c Fh()g Fi(B)t(ody)2141 2814 yFg(i)523 2948 y Fu(和)k(形式)h(the)g(当量)-5 b(价)17033060年-Fi(A)24年-Fh(\021)1876年2981年-Fd(_)1911年3158年Fg(i)1983 3060 y Fi(B)t(ody)2174 3072 y Fg(ii)2201 3060y Fi(:)1033 b Fu(\(10))523 3279 y(Third,)28 b(for)f(ev)n(ery)f(约束)n(t)g Fh(?)d()g Fi(B)t(ody)31 B Fu(in)d Fi(\005)34b Fu(form)28 b(the)g(negative)e(of)i(its)g(b)r(o)r(dy:)1828年3551 y Fh(:)p Fi(B)t(body)s(:)1157 B Fu(\(11))523 3729y()33 b(完成)f Fi(C)6 b(omp)p Fu(\()p Fi(\005)hFu(\))34 b(of)e Fi(\005)40 b Fu(composes)32 b(of的)h(all)f(form)n(ulas)g(10)克(和)克(11)。)h(F)-7 b(或)32 b(in-)523 3828y(站姿)27 b(in)h(应用)f(至)h(程序)d(6)j(本)g(专业)r(过程)e(过程)r(减少)h(形式)n(ulas)f(\(7\)。)648 3928年(之前)41b(con)n(v)n(erting)f(the)j(completion)f(of)g(a)g(tigh)n(t)g(program)eFi(\005)49 b Fu(to)42 b(子句)f(形式),523 4028 y Fn(模型)21b Fu(simpli\014es)g(it)g(使用)f(the)i(子集)e(of)h菲(At)2124 3998 y Fm(+)2179 4028 y Fu(\()p菲(\005)7b Fu(\))22 b(和)e Fi(At)2587 3998 y Fe(\ 000)2644 4028y Fu(()p Fi(\005)7 b Fu())21 b(计算)g(b)n(y)g(the)5234127 y(pro)r(cedures)26 b Ff(A)n(tmost)33 b Fu(and)27年b Ff(A)n(tle)l(ast)34 b Fu(第27节b(3.1))g(自)g(ev)n(ery)e(原子)i Fi(A)g Fu(来自)f Fi(At)3209 4097 y Fm(+)32654127 y Fu(()p Fi(005)7 b Fu())523 4227 y(b)r(伸长)32b(to)g(all)h(answ)n(er)e(sets)h(of)g Fi(\005)7 b Fu(,)33b(和)f(the)h(answ)n(er)e(sets)h(of)h Fi(\005)39 b Fu(are)32b(iden)n(tical)g(to)h(the)523 4327 y(mo)r(dels)25 b(of)gFi(C)6 b(omp)p Fu(()p Fi(\005)h Fu(),)25 b Fi(A)g Fu(is)g(en)n(尾)f(b)n(y)h Fi(C)6 b(omp)p Fu(()p Fi(\005)h Fu())25b(完成)g(of)g Fi(\005)31 b Fu(is)25 b(simpli-)5234426 y(\014d)f(b)n(y)f(替换)g(全部)g(o)r(发生)f(共)iFi(A)g Fu(in)f(it)h(b)n(y)g Fh(>)f Fu(and)g(adding)h(the)g(atom)fFi(A)h Fu(as)f(A)g(new)523 4526 y(form)n(ula.)g(Since)h(the)g(atoms)fFi(A)i Fu(from)e Fi(At)1811 4496 y Fe(\000)1867 4526y Fu(()p Fi(\005)7 b Fu())25 b(do)e(not)h(b)r(伸长)f(to)h(the)g(answ)n(er)f(集合)g(of)h Fi(\005)7 b Fu(,)523 4625 yFh(:)p Fi(A)31 b Fu(is)f(en)n(tailed)g(b)n(y)g Fi(C)6b(omp)p Fu(()p Fi(\005)h Fu())30 b(用于)g(suc)n(h)g(原子)f(The)i(完成)e(of)i Fi(\005)37 b Fu(is)30 b(simpli\014ed)5234725 y(b)n(y)d(替换)g(全部)g(o)r(发生)f(共)iFi(A)g Fu(in)f(it)h(b)n(y)g Fh(?)f Fu(和)g(添加)hFh(:)p Fi(A)g Fu(as)f(A)g(new)h(form)n(ula.)648 4825y(The)37 b(pro)r(cess)e(of)i(con)n(v)n(erting)e(an)i(equiv)-5b(alence)36 b(10)h(which)f(lefth)h(side)g(is)g(not)5234924 y(替换)31 b(b)n(y)h Fh(?)g Fu(to)h(条款)e(形式)h(通常)g(b) r(egins)g(带)g(分布)h(the)f(析取)p电子操作程序%%页码:10 1010 9 bop 523 448 a Fu(in)29 b(the)h(righ)n(t-hand)e(side)h(o)n(v)n(er)e(连词)f Fi(B)t(ody)2343 460 y Fg(i)2371448 y Fu(.)g(But)g(if)h(at)f(至少)g(t)n(w)n(o)f(of)h(这些)523548 y(析取)n(e)h(项)g(con)n(tain)f(more)g(than)i(one)e(字面)h(然后)g(辅助)f(原子)g(are)g(in)n(tro-)523648 y(induced)23b(as)e(缩写)g(for)h(these)g(disjunctiv)n(e)h(项)f(to)g(a)n(v)n(oid)f(a)h(signi\014can)n(t)f(增加)523747 y(in)28 b(the)g(size)f(of)h(the)g(form)n(ula.)e(f)-7b(或)27 b(实例)h(等效)g(等效)-5 b(价)1470 928y Fi(p)23 b Fh(\021)g Fu(\()p Fi(q)1692 940 y Fm(1)1748928 y Fh(^)c Fi(r)1859 940 y Fm(1)1896 928 y Fu(\))gFh(_)g Fu(_)p Fi(q)2090 940 y Fm(2)2146 928 y Fh(^)gFi(r)2257 940 y Fm(2)2294 928 y Fu(\))g Fh(_)g Fi(s)5231108 y Fu(is)28 b(转向)f(in)n(至)1600 1186 y Fi(p)cFh(\021)f Fi(aux)1891年1198年Fm(1)1947年1186年Fh(_)dFi(aux)2160 1198 y Fm(2)2215 1186 y Fh(_)g Fi(s)16001286 y(aux)1739 1298 y Fm(1)1799 1286 y Fh(\021)k Fi(q)19241298年Fm(1)1979年1286年Fh(^)c Fi(r)2090年1298年F(1)1600年1385 y Fi(aux)1739 1397 y Fm(2)1799 1385 y Fh(\021)kFi(q)1924 1397 y Fm(2)1979 1385 y Fh(^)c Fi(r)2090 1397y Fm(2)523 1530 y Fu(as)27 b(a)g(初步)g(步骤)5231794年Fo(4)112 b(Exp)s(erimen)m(tal)36 b(Data)523 1991y Fu(T)-7 b(表)30 b(1)g(和)h(2)f(sho)n(w)g(运行)h(运行)f(次)h(of)g Fn(cmodels)f Fu(and)h Fn(smodels)p Fu(,)f(in)h(seconds,)5232091 y(for)d(sev)n(eral)f(b)r(enc)n(hmark)g(问题)h(The)g(数据)g(对于)g(大多数)g(问题)g(和)g(人)n(y)g(的)h(the)5232190年(程序)c(in)j(输入)g(语言)c(of)jFn(lp)-6 b(arse)28 b Fu(已使用)g(in)g(测试)g(已发现)f(can)h(b)r(e)g(发现)克(at)523 2339 y Fc(网址:http://www.cs.en)o(gr.)o(uk)o(y.e)o(du)o(/a)o(i/b)o(en)o(chm)o(ar)o(ks)o(.ht)o(ml)37(,)523 2438年(网址:http://www.tcs.h)o个(ut.)o(fi)o(/So)o(ft)o(wa)o(cs)o(p-t)o(es)o(ts)o(.ta)o(r.)o(gz)g(,)523 2538年(网址:http://www.tcs.h)o个(ut.)o(fi)o(/)p Fh(\030)p Fc(k)o(ep)o(bou)o(nd)o(smo)o(de)o(ls/)g(.)523 2687 y Fu(The)29 b(SA)-7b(T)30 b(溶剂)n(er)e(in)n(v)n(ok)n(ed)g(b)n(y)h Fn(cmodels)gFu(in)g(these)g(exp)r(erimen)n(ts)g(is)h Fn(mchaff)3082型2656 y Fm(7)3120 2687 y Fu(,)f(不包括)523 2786 y(of)f(the)g(exp)r(erimen)n(ts)f(rep)r(orted)g(in)h(one)f(column)g(of)h(T)-7b(表)27 b(2)h(即)g(描述)r(es)f(结果)h(结果)5232886 y(共)d(运行)f Fn(cmodels)h Fu(带)g Fn(relsa)-6b(t)1746 2856 y Fm(8)1784 2886 y Fu(.)25 b(In)g(t)-7b(表)24 b(1)g(w)n(e)h(演示)f(the)h(p)r(性能)5232985 y(共)38 b(系统)f(含)h(对应)r(ect)f(至)g(任务)h(任务)f(共)h(\014nd)f(一)h(溶液)f(同时)g(in)h(T)-7 b(表)37b(2)523 3085 y(系统)c(searc)n(h)f(用于)h(man)n(y)g(溶液)f(W)-7b(e)34 b(限制)f(our)f(exp)r(erimen)n(tal)h(分析)f(仅)5233185 y(to)f(comparison)e(with)i Fn(smodels)g Fu(since)g(b)r(oth)g(系统)f(ha)n(v)n(e)g(iden)n(tical)h(输入)h(The)f(ex)5233284 y(p)r(erimen)n(ts)e(of)h(T)-7 b(表)29 b(1)f(和)i(2)f(w)n(ere)f(运行)h(on)g(a)g(P)n(en)n(tium)g(IV)h(1.8)f(Ghz)g(pro)r(cessor)e(with)523 3384 y(512MB)f(of)i(RAM),g(DDR)h(266Mhz)d(running)h(Lin)n(ux.)6483484 y Fn(cmodels)d Fu(with)h Fn(mchaff)h Fu(can)e(p)r(perform)g(m)n(uc)n(h)h(b)r(etter)g(than)g Fn(smodels)f Fu(有时)5233583 y(ha)n(ving)h(more)g(than)g(3)h(数量级)e(of)i(数量级)f(sp)r(eedup)h(when)g(the)g(task)g(is)f(to)h(compute)h(计算)5233683 y(一)34 b(溶液)g(Ho)n(w)n(ev)ng(溶液)g Fn(模型)g Fu(含)h Fn(mchaff)523 3782y Fu(is)d(outp)r(performed)g(b)n(y)g Fn(c模型)g Fu(with)hFn(relsa)-6 b(t)33 b Fu(and)f(also)g(b)n(y)g Fn(smodels)pFu(.)g(Ov)n(erall),f(the)523 3882 y(results)25 b(sho)n(这里)h(is)f(a)g(配置)f(of)h Fn(模型)hFu(whic)n(h)f(can)g(b)r(e)h(comp)r(etitiv)n(e)523 3982y(with)i(other)f(solv)n(ers)f(at)h(the)h(最新技术)6484081 y(T)-7 b(able)24 b(3)g(图解说明)g(角色)g(of)g(h(pro)r(过程)e(of)i(程序)d(简化)i(描述)r(ed)5234181 y(in)j(Section)g(3.1.)f(The)h(\\preassigned)d(queens”)j(问题)f(in)h(即)g(表)g(是)f(the)i Fi(N)35 b Fu(皇后)5234281年(问题)44 b(in)g(whic)n(h)g(the)g(p)r(positions)g(of)g(sev)n(eral)e(queens)i(are)f(preassigned)f(In)j(Prob-)5234380 y(lem)30 b(6.70.2,)d(例如)i,g Fi(N)35 bFu(=)25 b(70)k(and)g(the)g(p)r(positions)g(of)g(6)g(queens)g(are)g(预先指定)523 4480 y(简单)35 b(can)f(ha)n(v)n(e)g(a)g(v) n(ery)g(p)r(positiv)n(e)g(impact)h(on)f(the)h(o)n(v)n(性能)g(of)523 4580 y(the)h(system.)g(On)g(all)f(the)i(实例)e(但)i(one),e(the)i(p)r(performances)d(of)i(b)r(oth)gFn(cmodels)523 4679 y Fu(and)i Fn(mchaff)i Fu(are)d(b)r(etter)i(with)g(simpli\014位置)f(启用)g(P)n(性能)e(of)i(tigh)n(tness)P523 4748 473 4 v 546 4801 a Fl(7)606 4833 y Fr(http://www.ee.princeton.edu/)p Fs(\030)p Fr(ch)q(aff/)q(softw)q(are.)q(php)45 b(.)546 4893 y Fl(8)606 4924 y Fr(http://www.satlib.org/Solvers网站)q(/SAT)q(/REL)p 2056 492424 4伏35瓦(SAT.2/relsat)p 2559 4924伏31瓦(2.00.tar.gz)c(.)p电子操作程序%%页码:11 1111 10 bop 523 417 a Fq(T)-7 b(表)25 b(1.)d Ft(结果)h(一)f(溶液)h(to)g(the)f Fb(N)31 b Ft(皇后)22 b(4-着色)i(平面)e(图,)i(blo)r(c)n(ks)e(w)n(world)523 509 y(规划)k(和)f(b)r(ounded)g(mo)r(del)g(c)n(hec)n618 1975 4 v 975 709 4 92 v 991 709 v 1005 682 a(问题)p2275 709 V 1001 w Fp(cmodels)p 2607 709 V 28 w(smodels)p2933 709伏2950 709伏977 712 1975 4伏975 804 92伏991 804 V 1005 776 a Fb(N)34 b Ft(皇后区)666 b Fb(N30b Ft(=)25 b(19)p 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b(and)F(Vladimir)g(Lifsc)n(hitz)50b(W)-6 b(eigh)n(t)30 b(constraint)n(ts)h(as)h(嵌套)e(表达式)6631955年(In)25 b(进度)i(2003)561 2046年(4.)43 b(F)-6b(ran \030)-34 b(cois)25 b(F)-6 b(ages.)34 b(稠度)25b(of)h(Clark’s)f(completion)g(and)f(existence)h(of)g(stable)h(mo)r(dels.)663 2137 y Fa(期刊)i(of)f(Metho)l(ds)i(for)e(l)l(o)l(gic)h(in)g(计算机)g(科学)l(e)p Ft(,)f(1:51{60,)i(1994)5612228年(5.)43 b(y)-6 b(uliy)n(a)23 b(Bab)r(o)n(vic)n(h,)h(Esra)h(Erdem,)e(和)h(Vladimir)f(Lifsc)n(hitz.)32 b(f)-6 b(年龄')26b(定理)d(和)g(answ)n(er)663 2319 y(集合)f(编程)12492288 y Fl(11)1341 2319 y Ft(In)f Fa(Pr)l(o)l(c.)k(第八)f(国际)f(车间)j(on)e(非单调)h(R)l(e)l(asoning)p Ft(,)6632411 y(2000)561 2502 y(6.)43 b(Esra)24 b(Erdem)f(and)h(Vladimir)f(Lifsc)n(hitz.)32 b(Tigh)n(t)25 b(逻辑)g(程序)32b Fa(The)l(ory)27 b(and)f(Pr)l(立构)l(e)h(of)663 2593y(L)L(o)L(gic)h(Pr)L(o)L(gr)L(amming)p Ft(,)f(2003年)36b(T)-6 b(o)26 b(app)r(ear.)561 2684 y(7.)43 b(Ilkk)l(a)23b(尼梅尔\177)-38 b(a)24 b(和)g(P)n(阿提克)g(西蒙斯)32b(扩展)23 b(the)h(Smo)r(dels)g(system)f(with)h(cardialit)n(y)6632775 y(和)f(w)n(eigh)n(t)h(constraint)n(ts.)31 b(In)23b(Jac)n(k)h(Mink)n(er)g(编辑器)g Fa(L)L(o)L(gic-Base)L(d)k(A)n(rti\014cial)d(英特尔)t(智能)l(e)p Ft(,)663 2867 y(页)h(491{521.)j(Klu)n(w)n(er),d(2000.)561 2958 y(8.)43 b(Victor)21 b(Marek)g(and)f(Je\013rey)h(Remmel.)j(On)d(logic)h(programs)f(with)g(cardialit)n(y)g(约束)n(ts.)663 3049 y(In)k Fa(Pr)l(o)l(c.)j(NMR-02)pFt(,)e(2002年)561 3140 y(9.)43 b(Keith)20 b(Clark.)28b(否定)21 b(as)h(失败)28 b(In)20 b(Herv)n(e)g(Gallaire)j(和)e(Jac)n(k)g(Mink)n(er)g(编辑)h Fa(L)L(o)L(gic)6633231 y(和)28 b(数据)g(基)p Ft(,)f(页)g(293{322.)h(Plen)n(um)d(出版社)i(新)f(Y)-6 b(作品)25 b(1978年)523 3322 Y(10.)43b(John)25 b(Llo)n(yd)h(和)f(Ro)r(dney)g(T)-6 b(op)r(或)35b(制作)26 b(序言)h(更多)f(表达)n(e.)34 b Fa(期刊)28b(of)f(L)L(o)L(gic)663 3414 y(Pr)L(o)L(gr)L(amming)pFt(,)g(3:225{240,)i(1984)523 3505 y(11.)43 b(P)n(atrik)25b(西蒙斯)34 b(扩展)25 b(和)g(实现)n(廷)f(稳定)i(mo)r(del)e(seman)n(tics.)34 b(In)25 b Fa(Do)l(c-)6633596 y(tor)l(al)j(论文)p 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4508年Ft(未出版)24b(草案)j(2003)p 523 4656 473 4 v 515 4710 a Fl(10)6064742年前(http://www.tcs.hut.fi/softwar网站)q(e/sm)q(模型)q(/lpa)q(rse.)q(ps.gz)46 b(.)515 4801 y Fl(11)606 4833 y Fr(http://arxiv.org/abs/cs.ai/00)q(0304)q(2)f(.)515 4893y飞行高度(12)606 4924 y飞行高度(网址:http://www.cs.utexas.edu/user)q(s/ap)q(psmur)q(f/pa)q(pers)q(/disj)q(unct)q(ive.p)q(s)g(.)p eop%%拖车结束userdict/end-hook已知{end-hook}如果%%电动势