--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/Publications/aprolog.ps	Sat Oct 22 12:11:38 2011 +0100
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+%%BeginFont: CMSY7
+%!PS-AdobeFont-1.1: CMSY7 1.0
+%%CreationDate: 1991 Aug 15 07:21:52
+% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
+11 dict begin
+/FontInfo 7 dict dup begin
+/version (1.0) readonly def
+/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
+/FullName (CMSY7) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
+/ItalicAngle -14.035 def
+/isFixedPitch false def
+end readonly def
+/FontName /CMSY7 def
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+/FontMatrix [0.001 0 0 0.001 0 0] readonly def
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+readonly def
+/FontBBox{-15 -951 1252 782}readonly def
+/UniqueID 5000817 def
+currentdict end
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+% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
+11 dict begin
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+%%BeginFont: CMTT9
+%!PS-AdobeFont-1.1: CMTT9 1.0
+%%CreationDate: 1991 Aug 20 16:46:24
+% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
+11 dict begin
+/FontInfo 7 dict dup begin
+/version (1.0) readonly def
+/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
+/FullName (CMTT9) readonly def
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+/Weight (Medium) readonly def
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+cleartomark
+%%EndFont 
+%%BeginFont: CMR9
+%!PS-AdobeFont-1.1: CMR9 1.0
+%%CreationDate: 1991 Aug 20 16:39:59
+% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
+11 dict begin
+/FontInfo 7 dict dup begin
+/version (1.0) readonly def
+/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
+/FullName (CMR9) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
+/ItalicAngle 0 def
+/isFixedPitch false def
+end readonly def
+/FontName /CMR9 def
+/PaintType 0 def
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0] readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /.notdef put
+readonly def
+/FontBBox{-39 -250 1036 750}readonly def
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+b Fk(\013)p Fn(Prolog)j(syn)n(tax)d(summary)648 1099
+y Fq(If)38 b Fi(G)f Fq(is)h(a)f(non-atomic)g(form)n(ula,)f(then)i(pro)r
+(of)f(searc)n(h)f(is)i(relativ)n(ely)e(standard,)h(as)523
+1199 y(sho)n(wn)27 b(b)r(elo)n(w:)558 1329 y(1.)41 b(\()p
+Fi(\011)5 b(;)14 b Fh(>)p Fi(;)g(\022)r(;)g Fh(r)p Fq(\))28
+b(succeeds)f(with)h(answ)n(er)e Fh(h)p Fi(\022)r(;)14
+b Fh(ri)p Fq(.)558 1421 y(2.)41 b(\()p Fi(\011)5 b(;)14
+b(G)854 1433 y Fp(1)898 1421 y Fh(^)7 b Fi(G)1025 1433
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+b(steps)g(to)g(\()p Fi(\011)5 b(;)14 b(\022)1767 1391
+y Fg(0)1790 1421 y Fi(G)1855 1433 y Fp(2)1893 1421 y
+Fi(;)g(\022)1971 1391 y Fg(0)2001 1421 y Fh(\016)7 b
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+y Fg(0)1225 1521 y Fi(;)14 b Fh(r)1331 1491 y Fg(0)1355
+1521 y Fh(i)p Fq(.)558 1613 y(3.)41 b(\()p Fi(\011)5
+b(;)14 b(G)854 1625 y Fp(1)910 1613 y Fh(_)k Fi(G)1048
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+b(steps)g(to)f(\()p Fi(\011)5 b(;)14 b(G)1830 1625 y
+Fd(i)1858 1613 y Fi(;)g(\022)r(;)g Fh(r)p Fq(\))28 b(for)f
+Fi(i)c Fh(2)g(f)p Fq(1)p Fi(;)14 b Fq(2)p Fh(g)p Fq(.)523
+1750 y(Otherwise,)27 b(if)h(the)g(the)g(goal)e(form)n(ula)h(is)g
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+Fq(\),)28 b(then:)558 1880 y(1.)41 b(Let)28 b Fi(p)23
+b(t)908 1850 y Fg(0)954 1880 y Fi(=)g Fh(r)1088 1850
+y Fg(0)1134 1880 y Fq(:)p Fh(\000)g Fi(G)1310 1850 y
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+Fi(\011)9 b Fq(.)558 1972 y(2.)41 b(Let)33 b Fi(p)f(t)922
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+1972 y Fq(:)p Fh(\000)f Fi(G)1388 1942 y Fg(\003)1459
+1972 y Fq(b)r(e)i(the)h(`freshened')e(v)n(ersion)f(of)i
+Fi(p)f(t)2635 1942 y Fg(0)2690 1972 y Fi(=)f Fh(r)2832
+1942 y Fg(0)2887 1972 y Fq(:)p Fh(\000)g Fi(G)3071 1942
+y Fg(0)3095 1972 y Fq(,)i(i.e.)g(the)664 2072 y(clause)c(where)f(all)h
+(atoms)f(men)n(tioned)h(in)g Fh(r)2087 2042 y Fg(0)2140
+2072 y Fq(and)g(all)f(v)-5 b(ariables)28 b(are)g(renamed)g(with)664
+2171 y(new)g(names)f(\(the)h(latter)f(is)h(standard)f(in)g(logic)g
+(programming\))558 2264 y(3.)41 b(If)28 b Fi(t)777 2234
+y Fg(\003)842 2264 y Fq(uni\014es)f(with)h Fi(t)f Fq(sub)5
+b(ject)28 b(to)f(the)g(constrain)n(ts)f Fh(r)2370 2234
+y Fg(\003)2408 2264 y Fq(,)h(resulting)g(in)g Fh(h)p
+Fi(\022)2969 2234 y Fg(00)3012 2264 y Fi(;)14 b Fh(r)3118
+2234 y Fg(00)3161 2264 y Fh(i)p Fq(,)27 b(then)664 2363
+y(\()p Fi(\011)5 b(;)14 b(p)23 b(t;)14 b(\022)r(;)g Fh(r)p
+Fq(\))28 b(steps)f(to)h(\()p Fi(\011)5 b(;)14 b(\022)1604
+2333 y Fg(00)1646 2363 y Fi(G)1711 2333 y Fg(\003)1749
+2363 y Fi(;)g(\022)1827 2333 y Fg(00)1888 2363 y Fh(\016)k
+Fi(\022)r(;)c Fh(r)2095 2333 y Fg(00)2138 2363 y Fq(\).)523
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+2600 y(atoms)24 b(men)n(tioned)g(in)g Fh(r)h Fq(with)f(fresh)g(atoms,)g
+(then)h(unify)f(the)h(goal)e(and)h(the)h(head)e(of)i(the)523
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+(of-of-concept)e(implemen)n(tation)i(of)g Fi(\013)p Fq(Prolog)e(and)i
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+g(realistic)f(examples.)h(There)f(are)g(man)n(y)g(directions)h(for)523
+3480 y(future)i(w)n(ork.)f(F)-7 b(or)30 b(example,)f(the)i(complexit)n
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+3571 y(in)n(v)n(estigated.)22 b(On)i(the)g(theoretical)e(side,)i(w)n(e)
+f(in)n(tend)h(to)f(relate)g(pro)r(of)g(searc)n(h)f(in)i
+Fi(\013)p Fq(Prolog)523 3662 y(to)k(a)f(suitable)g(notion)g(of)h
+(uniform)g(pro)r(ofs)e(in)i(Nominal)g(Logic)e([2].)523
+3754 y Fl(Ac)n(kno)n(wledgmen)n(ts:)f Fn(Dominik)i(W)-6
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+4082 y Fj(References)523 4236 y Fn(1.)42 b(G.)25 b(Nadath)n(ur)e(and)g
+(D.)h(Miller.)33 b(Higher-order)24 b(logic)h(programming.)33
+b(In)23 b Fa(Handb)l(o)l(ok)28 b(of)d(L)l(o)l(gic)624
+4328 y(in)31 b(A)n(rti\014cial)f(Intel)t(ligenc)l(e)i(and)f(L)l(o)l
+(gic)g(Pr)l(o)l(gr)l(amming)p Fn(,)g(v)n(olume)e(5,)h(c)n(hapter)e(8,)i
+(pages)g(499{)624 4419 y(590.)d(Oxford)f(Univ)n(ersit)n(y)e(Press,)j
+(1998.)523 4503 y(2.)42 b(A.)26 b(M.)h(Pitts.)36 b(Nominal)26
+b(logic:)i(A)e(\014rst)g(order)g(theory)g(of)g(names)h(and)e(binding.)
+36 b(In)25 b Fa(Pr)l(o)l(c.)j(of)624 4594 y(the)36 b(International)f
+(Symp)l(osium)g(T)-6 b(A)n(CS)35 b(2001,)f(Sendai,)h(Jap)l(an)p
+Fn(,)f(v)n(olume)g(2215)g(of)g Fa(LNCS)p Fn(,)624 4686
+y(pages)27 b(219{242.)h(Springer-V)-6 b(erlag,)26 b(2001.)523
+4770 y(3.)42 b(C.)50 b(Urban,)e(A.)g(M.)i(Pitts,)f(and)g(M.)g(Gabba)n
+(y)-6 b(.)102 b(Nominal)50 b(uni\014cation.)103 b(Submitted.)624
+4861 y Fm(http://www.cl.cam.ac.uk/~cu2)q(00/U)q(nific)q(atio)q(n/)p
+Fn(.)p eop end
+%%Trailer
+
+userdict /end-hook known{end-hook}if
+%%EOF