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Fy(app)r(earing)32b(in)h(a)g(防护)g(w)n(e)f(ha)n(v)n(e)g Fx(i)14 b(j)37b(>)31 b Fy(0,)j(和)f(因此)16 1387 y(no)27 b(一元)g(谓词)g(ma)n(y) g(app)r(ear)g(as)g(a)g(guard.)-67 1524 y Fv(\017)41b Fy(The)58 b(w)n(a)n(y)f(in)h(whic)n(h)g(v)-5 b(变量)57b(are)g(group)r(ed)g(in)h(a)16 1624 y(v)-5 b(变量)51b(v)n(矢量)g(is)h(非)g(受限)109 b(F)-7 b(或)51b(示例)16 1724 y([)p Fv(9)p Fx(x:p)220 1693 y Fp(\(3)pFq(;)p Fp(2))363 1724 y Fy()p Fx(x;)14 b(xFy()]\()p Fx(\036)p Fy(\()pFx(x)pFy(_))30 b(is)d(a)gFv(G)5 b(F)k Fy(1)1397 1693 y Fu(\000)1452 1724 y Fy(-形式)n(ulae.)-671861年(The)31 b(reasons)d(for)i(these)g(restrictions)g(will)g(b)r(ecome)h(appif-)-150 1960 y(en)n(t)19 b(in)g(Section)g(3)f(and)h(will)g(b) r(e)g(进一步)g(讨论)f(in)i(章节)e(4.)-1502060年(大致)26 b(sp)r(ok)n(en)h(无)g(这些)g(限制)f(而)g(com-)-150 2159 y(plex)f(blo)r(c)n(king)e(conditions)h(w)n(ere)g(必要)f(to)h(确保)g(termi-)-150 2259 y(国家)j(of)h(the)g(表格)f(算法)f(to)i(b)r(e)g(设计)-67 2361y(Seman)n(tics,)36 b(in)n(解释)e Fv(I)41 b Fy(=)35b(\(\001)1211 2331 y Fu(I)1257 2361 y Fx(;)14 b Fv(\001)13172331 y Fu(I)1362 2361 y Fy(\),)38 b(和)c(mo)r(dels)-1502460 y(are)d(de\014ned)i(just)g(as)e(for)h(standard)f(\014rst)h(order)f(逻辑)i(其中)-150 2560 y([)p Fv(9)p-81 2514 V Fx(x)q(:p)12b Fy(()p 87 2514 V Fx(x;)p 171 2514 44 V 14 w(y)sFy(\)]\()p Fx(\036)p Fy(\))41 b(代表)f(代表)g Fv(9)p882 2514 48 4伏Fx(x)q(:P)12 b Fy(\()P 1050 2514伏Fx(x;)P1134 2514 44 v 14 w(y)s Fy(\)27 b Fv(^)g Fx(\ 036)pFy(,)44 b(和,)f(对偶)-7 b(,)-150 2660 y([)p Fv(8)p-80 2614 48 4伏Fx(x:P)12亿Fy()P 87 2614伏Fx171 2614 44 4 v 14 w(y)s Fy(\)]\()p Fx(\ 036)p Fy(_)29b(is)e(to)h(b)r(e)g(read)f(as)g Fv(8)p 1044 2614 48 4v Fx(x)o(:P)12 b Fy(\()P 1210 2614 v Fx(x)q(;)P 12952614 44 4 v 14 w(y)r Fy(\))24 b Fv(!)f Fx(\036)p Fy(.)-672761 y(A)h Fv(G)5 b(F)k Fy(1)184 2731 y Fu(\000)239 2761y Fy(-形式)n(ula)23 b Fx(\036)h Fy(有)h Fs(自由)p Fy(\()pFx(\036)p Fy(\))f(=)f Fv(f)p Fx(x)1268 2773 y Fp(1)13052761年Fx(;)14磅(:)克(:)g(:)27磅(;)14b(x)1550 2773年Fq(n)1596 2761 y Fv(g)24 b Fy(is)f Ft(sat-)-150 2861y(是表)36 b Fy(i\013)29 b(是)g(关闭)f(014rst)g(顺序)f(形式)n(ula)h Fv(9)p Fx(x)1474 2873 y Fp(1)1512 2861y Fx(;)14 b(:)g(:)g27 b(;)14b(x)1757 2873 y Fq(n)18022861 y Fx(:\036)-150 2961 y Fy(is)43 b(合格)82b(A)43 b Fv(G)5 b(F)j Fy(1)680 2931 y Fu(\000)736 2961y Fy(-形式)n(ula)41 b Fx(\036)1132 2973 y Fp(1)1213 2961y Fy(is)i Ft(包含)l(d)51 b Fy(b)n(y)42 b(a)-150 3060y Fv(G)5 b(F)j Fy(1)14 3030 y Fu(\000)70 3060 y Fy(-形式)n(ula)49b Fx(\036)474 3072 y Fp(2)562 3060 y Fy(写)h Fx(/036)9563072 y Fp(1)1055 3060 y Fv(v)60 b Fx(\036)1229 3072 yFp(2)1267 3060 y Fy(\))50 b(i\013)h Fs(自由)p Fy(_()pFx(\036)1679 3072 y Fp(1)1717 3060 y Fy(\))61 b(=)-1503160 y Fs(自由)q Fy()p Fx(036)59 3172 y Fp(2)97 3160y Fy(\))35 b(=)h Fv(f)p Fx(x)354 3172 y Fp(1)391 3160y Fx(;)14b(:)g(:)g27 b(;)14 b(x)636 3172 y Fq(n)6823160 y Fv(g)34 b Fy(and)h(\010)h(:=)f([)p Fv(8)p Fx(x)12633172 y Fp(1)1300 3160 y Fx(;)14 b(:)g(:)g(:)27 b(;)b(x)1545 3172 y Fq(n)1591 3160 y Fx(:\036)1663 3172 yFp(1)1701 3160 y Fy(]\()p Fx(\036)1805 3172 y Fp(2)18433160 y Fy(\))-150 3260 y(is)27 b(v)-5 b(有效)36 b(如果)27b Fx(\036)296 3272 y Fp(1)361 3260 y Fy(is)f(复合物)h(然后)g(\010)g(is)f(明确)g(非)g(a)h Fv(g)5 b(f)j Fy(1)1792 3229y Fu(\000)1847 3260 y Fy(-)-150 3359 y(形式)n(乌拉)36b(Ho)n(w)n(ev)n,(er)26 b(\010)h(is)h(v)-5 b(alid)27 b(i\013)-563546 y(\010)4 3512 y Fu(0)50 3546 y Fy(:=)c([)p Fv(9)pFx(x)277 3558 y Fp(1)315 3546 y Fx(;)14 b(:)g(:)g(:)27b(;)14 b(x)560 3558 y Fq(n)606 3546 y Fx(:R)693 3512y Fp(1)p Fq(;n)p Fp())692 3567 y Fo(新)842 3546 yFy()p Fx(y)s(;)g(x)1002 3558 y Fp(1)1040 3546 y Fxb(;)14 b(x)1285 3558 y Fq(n)1331 3546 y Fy(\)]\()p Fx(\ 036)14673558 y Fp(1)1528 3546 y Fv(^)24 b(:)p Fx(\036)1711 3558y Fp(2)1749 3546 y Fy(\))-150 3749 y(is)33 b(not)h(满足\014able,)g(其中)f Fx(R)817 3706 y Fp(1)p Fq(;n)p Fp()816 3760y Fo(新)1000 3749 y Fy(is)g(a)g(谓词)g(that)g(do)r(es)-1503849 y(非)27 b(o)r(ccur)g(in)h Fx(\036)367 3861 y Fp(1)4323849 y Fy(或)e Fx(\036)582 3861 y Fp(2)620 3849 y Fly(.)37b(Ob)n(vioully)-7 b(,)26 b(\010)1146 3819 y Fu(0)11963849 y Fy(is)i(in)f Fv(G)5 b(f)j Fy(1)1540 3819 y Fu(\000)15963849 y Fy(.)37 b(因此)-150 3948 y(a)44 b(算法)e(决定)i(满意度)n(y)f(of)h Fv(G)5 b(f)j Fy(1)1478 3918y Fu(\000)1533 3948 y Fy(-form)n(ulae)-150 4048 y(can)27b(b)r(e)h(使用)g(to)f(决定)h(包含)g(of)f Fv(g)5b(F)k Fy(1)1409 4018 y Fu(\000)1464 4048 y Fy(-形式)n(ulae.)-1504220 y Fn(Is)35 b Fm(G)5 b(F)10 b Fl(1)145 4187 y Fk(\000)2394220 y Fn(a)35 b(说明)g(逻辑?)-150 4351 y Fy(In)29b(我们的)f(理解)g(the)h(main)g(c)n(特征)e(of)h(a)h(DL,)-150 4451 y(b)r(ides)35 b(可判定)n(y)f(of)g(the)h(relev)-5b(a)n(t)34 b(推断)h(问题)-150 4551 y(is)30b Ft(lo)l(c)l(ality)p Fy(,)h(即)f(概念)f(捕获)g(属性)r(erties)g(of)h(an)f(in-)-150 4650 y(divisual)d(that)g(can)g(b)r(e)g(确定)h(b)n(y)e(lo)r(oking)g(at)h(the)h(pred-)-1504750 y(icates)e(holding)g(for)g(that)h(individual)g(and)g(for)f(these)g(其他)g(in-)-150 4849 y(个人)j(the)i(\014rst)e(is)h(相关)f(to)g(via)h(some)f(谓词)40 b(Due)-150 4949 y(to)27b(the)h(guard)f(quan)n(ti\014阳离子)g(this)h(is)f(the)h(case)f(for)gFv(G)5 b(F)j Fy(1)1794 4919 y Fu(\000)1850 4949 y Fy(.)-675051 y(Ho)n(w)n(ev)n(明确地)i(quan)n(ti\014ed\)-150 5150 y(v)-5 b(变量| whic)n(h)29 b(is)h(not)g(in)h(the)f(spirit)g(of)g(DLs)45 b(f)-7b(或)30b(考试-)-1505250 y(ple)25b(这个)f(mak)n(es)e(it)i(容易)f(to)2025年的h(区分)f(b)r(et)n(w)n(een)h(c)n(儿童)f(of)-67岁(已婚)j(paren)n(ts)h(其母亲)g(is)h(a)f(do)r(ctor)2258107年Fs(C)p Fy()p Fx(x)p Fy()e Fv(^)e Fy([)p Fv(9)pFx(m;)14 b(f)t(:)p Fs(p)p Fy(\()p Fx(x;)g(m;)g(f)9 bFy(\)]\()p Fs(M)p Fy(_)p Fx(M;)14 b(f)9 b Fy(~)23 bFv(^)h Fs(D)p Fy(()p Fx(m)p Fy())2025 281 y(和)j(那些)h(他们的)f(父亲)g(is)g(a)h(do)r(ctor)2259 455 y Fs(C)p Fy(\()pFx(x)p Fy(\))c Fv(^)f Fy([)p Fv(9)p Fx(m;)14 b(f)t(:)pFs(P)P Fy()P Fx(x;)g(m;)gFx(m;)14 b(f)9 b Fy(\))24 b Fv(^)f Fs(D)p Fy(_)p Fx(f)b Fy(\))p Fx(:)2025 629 y Fy(Nev)n(ertheless)27 b(one)g(can)g(think)h(of)g(a)f(v)-5 b(可变)27 b(自由)g(合成)n(税收)g(适用于)2025729 y Fv(G)5 b(F)j Fy(1)2189 699 y Fu(\000)2273 729 yFy(即)29 b(mak)n(es)e(这些)h(iden)n(ti\014位置“)f(of)i(v)-5b(变量)27 b(ex)2025 829 y(plicit.)36 b(The)24 b(w)n(ork)e(on)i(a)f(简明)g(v)-5 b(无变量)22 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Fy(,)25b(a)g(naiv)n(e)f(implemen)n(station)h(of)g(this)g(algo-)2025年630 y(rithm)30 b(需要)g(exp)r(onen)n(tial)g(空间:)41b(It)31 b(构造)e(a)h(tree-lik)n(e)2025 730 y(结构)21b(of)g(线性)f(深度)i(that)g(can)e(b)r(e)i(exp)r(onen)n(tial)e(in)i(the)2025年830 y(size)k(of)g(the)g(input)37 b(It)27b(is)e(easy)g(to)h(见)g(that)g(a)g(trace)f(tec)n(hnique)2025年922年([)2048年929年(7)2090年922年(mec)n(hanism)h(类似)g(to)h(the)h(one)e(de)2025 1029y(scrib)r(ed)29 b(in)2410 1022 y([)2433 1029 y(6)24751022 y(])2528 1029 y(mak)n(es)f(it)i(p)r(possible)g(to)f(in)n(v)n(估计)f(the)i(整体)2025 1129 y(tree)c(while)g(only)g(k)n(eeping)f(a) h(单个)g(路径)g(长度)g(线性)g(in)20251228年Fv(j)p Fx(\036)2097年1240年Fp(0)2135年1228年Fy(\)i(in)g(内存)f(at)h(a)g(时间)38 b(If)29 b(the)f(n)n(um)n(b)r(er)g(of)f(constraint)n(ts)2025 1328 y(on)i(eac)n(h)f(constrain)n(t)g(is)g(p) r(多项式)g(b)r(四舍五入)i(本)f(产生)f(a)20251427年Fw(PSp)-6 b(a)n(ce)28 b Fy(算法)f(用于)g Fv(g)5b(F)j Fy(1)3020 1397 y Fu(\000)3103 1427 y Fy(因此)28b(w)n(e)f(ha)n(v)n(e:)2025 1562 y Fr(定理)j(4)42 bFy(The)19 b(tableaux)g(algorithm)g1662年y(dure)i(for)f(the)i(satis\014ability)n(y)e(of)hFv(G)5 b(F)j Fy(1)3177 1632 y Fu(\000)3233 1662 y Fy(-形式)n(ulae.)33b(F)-7 b(或)21 b(a)F(签名)2025 1762 y(真实)27 b Fx(N)22671774年Fq(P)2349 1762年Fy(of)g(b)r(ounded)h(arit)n(y)e(and)g(form)n(ulae)g(with)i(a)f(b)r(ounded)2025年1861年(n)n(um)n(b)r(er)k(of)h(free)f(v) -5 b(变量),31 b(it)h(can)f(b)r(e)h(implemen)n(ted)g(to)f(run)2025 1961 y(in)d(p)r(多项式)f(空间)2108 2096 y(Let)f(us)g(common)n(t) f(on)h(the)g(t)n(w)n(o)f(b)r(ounds)h(w)n(e)f(used)h(to)f(获取)20252196年(a)33 b Fw(PSp)-6 b(a)n(ce)35 b Fy(结果:)49 b(T)-7b(o)33 b(ha)n(v)n(e)g(谓词)g(of)h(b)r(ounded)g(arit)n(y)20252295 y(is)29 b(天然)g(in)g(the)h(\014eld)f(of)h(DL|其中)f(the)g(算术)n(y)f(is)i(通常)2025 2395 y(限制)35 b(到)g(2.)61b(Moreo)n(v)n(er),35 b(this)h(b)r(ound)g(is)f(necessary)f(b)r-(e-)2025年2495 y(原因)28 b(否则)g(经验)r(onen)n(基本)g(人)n(y)g(约束)n(ts)g(ma)n(y)g(b)r(e)2025 2594 y(生成)h(对于)g(a)g(单个)g(no)r(de:)41 b(考虑)29 b(the)h(follo)n(wing)f(for-)20252694年(m)n(ula)22 b(\010)2285 2706年Fq(n)2353 2694年Fy(其中)h Fx(G)2654 2706 y Fq(n)2722 2694 y Fy(is)G(a)f(谓词)G(名称)h(of)f(arit)n(y)g Fx(n)9 b Fy(+)g(1)21 b(and)20252793 y(分组)27 b(1)p Fx(;)14 b(n)p Fy())38 b(The)28b(表格)f(算法|何时)g(适用)2025 2893 y(至)38b(\010)2197 2905 y Fq(n)2242 2893 y Fy(| do)r(es)g(not)g(generate)f(a)h(no)r(de)g(other)f(than)h(the)h(ro)r(ot)2025 2993年(生成)f(a)h(约束)n(t)f(for)h(eac)n(h)f(p)r(erm)n(utation)20253092 y(of)j(the)g(constan)n(ts)e Fx(a)2704 3104 y Fp(1)27423092年Fx(;)14b(:)g(:)g27年b(;)14年b(a)2984年Fq(n)3067 3092 y Fy(召回)37 b(即)h(eac)n(h)f(p)r(erm)n(uta-)20253192 y(tion)25 b(can)g(b)r(e)g(书面)h(as)e(a)h(pro)r(duct)g(of)g(透明)r(位置)。)35 b(The)2025 3292 y(n)n(um)n(b)r(er)f(of)g(p)r(erm)n(变量)g(is)g(exp)r(onen)n(tial)f(in)i Fx(n)fFy(和)g(因此)2025 3391 y(in)28 b(the)g(size)f(of)h(\010)25773403年Fq(n)2622 3391年Fy(.)2074 3541年Fi(\010)21293549 y Fg(n)2193 3541 y Fi(:=)83 b Ff(G)2417 3549 y F(n)24603541 y Fi(()p Ff(x)2534 3549 y Fj(1)2568 3541 y Ff(;)13b(x)2646 3549 y Fj(1)2680 3541 y Ff(;)g(x)2758 3549 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Fy(秋季)33b(短)f(in)h(the)h(sense)e(that)i(it)f(do)r(es)g(not)g(allo)n(w)f(对于)g(n)n(um-)2025 431 y(b)r(er)j(限制)i(但)fFw(Nar)-6 b(yKandor)35 b Fy(do)r(es)g(not)g(allo)n(w)g(for)2025年531 y(否定)28 b(和)h(否)g(完整)g(算法)e(用于)i(包含)g(is)2025 630 y(kno)n(wn.)2025 730 y Fr(扩展:)58b Fy(W)-7b(e)40b(b)r(eliev)n(e)f(that)h(the)g(tableaux)e(算法)2025年830 y(presen)n(ted)23 b(here)g(can)g(b)r(e)h(easy)f(extended)h(到)f(n)n(um)n(b)r(er)g(限制-)2025 929年32b(b)n(y)f(添加)h(适当)e(扩展)h(的)h(标准)20251029年(规则)h(用于)h(n)n(um)n(b)r(er)f(限制)g(和)h(b)n(y)g(延长)f(the)i(no)2025 1129 y(tion)29 b(of)g(a)g(碰撞)40b(请)28 b(注意)h(即)g(本)g(是)g(不是)g(真实)g(适用于)g(2025年)1228 y(完整)i(防护)f(f)-7 b(ragmen)n(t)29 b(b)r(ecause)h(it)g(b)r(ecomes)g(不可判定)2025 1328 y(when)39 b(extended)g(with)g(n)n(um)n(b) r(er)f(限制)3572 1321 y([)3595 1328 y(5)36371321年(])3659年1328年(.)70年(另一个)2025年1427年(in)n(利息)25b(扩展)h(is)g(the)g(one)g(with)h(transitiv)n(e)e(roles)g(bi-)2025年1527 y(数)i(关系)h(和/或)f(公理)38b(It)29 b(w)n(as)e(sho)n(wn)h(in)3782 1520 y([)3805 1527y(4)3847 1520 y(])3898 1527 y(that)2025 1627 y(the)44年b(防护)e(F)-7 b(ragmen)n(t)43 b(扩展)g(带)h(传递)n(e)e(关系)2025 1726年,h(ev)n(en)d(when)g(restricted)g(to)g(t)n(w)n(o) f(v)-5 b(变量),42 b(b)r(ecomes)2025 1826 y(不可判定)35b(The)24 b(in)n(v)n(estigation)d(of)j(The)f(extensions)g(is)g(on-)2025年1926年(即将)j(w)n(工作)2025年2121年FC(参考)20252245 y Fy([)2048 2252 y(1)2090 2245 y(])2154 2252 y H(H)j(Andr)n(\023)-39 b(ek)-5 b(a),28 b(J.)h(v)-5 b(an)28 b(Ben)n(他们),h(和)g(I.)g(n)n(023)-39 b(emeti.)39 b(Mo)r(dal)2154 2352 y(语言)24b(and)i(b)r(ounded)g(fragmen)n(ts)f(of)h(谓词)f(逻辑)21542451 y Ft(J.)30 b(of)g(哲学)l(al)k(l)l(o)l(gic)pFy(,)29 b(27\(3):217{274,)23 b(1998)2025 2575 y([)20482582(2)2090 2575(])2154 2582(D.)44 b(Calv)-5 b(anese)45b(G)f(D)f(贾科莫)j(和)c(M)h(伦泽里尼)2154 2682y(连接性)n(e)29 b(查询)f(con)n(tanmen)n(t)g(in)h(描述)f(逻辑)2154 2781 y(带)g(n元)f(关系)35 b(In)28b Ft(Pr)l(o)l(c.)j(of)f(DL’97)p Fy(,)f(1997.)2025 2905y([)2048 2912 y(3)2090 2905 y(])2154 2912 y(H.)g(de)g(Niv)n(elle.)75 b(A)42 b(sup)r(erp)r(position)21543012年决定h(pro)r(cedure)g(for)g(the)h(guard)e(fragmen)n(t)h(含)2154 3112 y(等量)n(y)-7 b(.)36 b(In)28 b Ft(Pr)l(o)l(c.)j(of)f(LICS-99)p Fy(,)f(1999)2025 3236 y([)2048 3243 y(4)20903236 y(])2154 3243 y(H.)c(Ganzinger,)f(Chr.)g(Mey)n(er,)g(和)g(M.)H(V)-7 b(意大利语)31 b(The)24 b(t)n(w)n(o-)2154 3342 y(v)-5b(变量)31 b(保护)h(碎片)n(t)f(带)i(传递)n(e)e(关系)2154 3442 y(In)39 b Ft(Pr)l(o)l(c.)i(14)g(IEEE)g(Symp)l(osium)f(on)h(L)L(o)L(gic)f(in)h(Com-)2154 3541 y(计算机)33b(科学)l(e)p Fy(.)e(IEEE)f(计算机)h(So)r(ciet)n(y)f(出版社)h(1999)2154 3641 y(T)-7 b(o)27 b(app)r(ear)g(in)h(LICS’99)2025年3765年([)2048年3772年(5)2090年3765年b(Gr\177)-42 b(adel.)28 b(On)23 b(the)g(抑制)e(p)r(o)n(w)n(er)g(of)i(防护)k Ft(焦耳-)2154 3872 y(nal)j(of)h(Symb)l(olic)g(l)l(o)l(gic)p Fy(,)d(1998)35 b(to)28 b(app)r(ear.)2025 3996y([)2048 4003 y(6)2090 3996 y(])2154 4003 y(U.)f(Sattler)i(and)e(S.)g(T)-7 b(obies.)65 b(A)37 b(PSpace-)21544102 y(算法)85 b(用于)g(决定)h Fv(ALC)5 b(N)12b(I)3466 4118 y Fq(R)3516 4101 y Fb(+)3567 4102 y Fy(-满意度)n(y) -7 b(.)2154 4202 y(L)g(TCS-Rep)r(ort)53 b(98-08,)k(LuFg)c(理论)e(计算机)2154 4301 y(科学)28 b(R)-9b(WTH)28 b(Aac)n(hen)f(德语)n(y)-7 b(,)27 b(1998)20254425 y([)2048 4432 y(7)2090 4425 y(])2154 4432 y(M.)d(Sc)n(hmidt Sc)n(hau\031)g(和)g(g.)g(Smolk)-5 b(a.)31 b(a)n(ttributiv)n(e)24b(con-)2154 4532 y(cept)j(descriptions)f(with)h(complemen)n(ts.)34(概念)b Ft(A)n(rti\014cial)c(英特尔-)2154 4632 y(智能)l(e)pFy(,)f(48):1{26,)c(1991)2025 4756 y([)2048 4763y(8)2090 4756 y(])2154 4763 y(詹姆斯)31 b(G.)h(Sc)n(hmolze)49b(T)-7 b(术语)30 b(kno)n(wledge)h(rep-)21544862 y(resen)n(station)26 b(systems)h(sup)r(orting)f(n元)g(terms.)36b(In)27 b Ft(Pr)l(o)l(c.)2154 4962 y(of)k(KR-89)p Fy(.)c(Morgan)f(考夫曼,)i(1989)2025 5086 y([)2048 5093 y(9)2090 5086y(])2154 5093 y(J.)39 b(v)-5 b(an)38 b(Ben)n(他们)70b(P)n(oly)n(adic)36 b(quan)n(ti\014ers.)68 b Ft(语言学)21545192年(和)30 b(哲学)p Fy(,)i(12(4),)26 b(1989)p电子操作程序%%拖车结束已知userdict/结束钩子{end-hook}如果%%电动势