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007F87FF201B7D9A25>117 D E end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 300dpi
TeXDict begin
%%PaperSize: a4

%%EndSetup
%%Page: 1 1
1 0 bop 25 125 a Fg(Inference)22 b(Rules)h(of)e(G4ip)i(\(LJT\))p
25 261 1790 2 v 25 1885 2 1625 v 409 412 165 2 v 409
452 a Ff(A;)8 b Fe(\000)p 502 452 6 20 v 507 443 23 2
v 48 w Ff(A)595 428 y(Axiom)p 995 412 221 2 v 995 452
a Fd(false)o Ff(;)g Fe(\000)p 1142 452 6 20 v 1147 443
23 2 v 48 w Ff(G)1237 423 y Fd(false)p Fe(-L)400 526
y(\()p Ff(A)15 b Fe(b)q(eing)h(atomic\))409 637 y Ff(B)r(;)8
b(C)q(;)g Fe(\000)p 558 637 6 20 v 563 628 23 2 v 47
w Ff(G)p 402 656 238 2 v 402 696 a(B)r Fe(&)p Ff(C)q(;)g
Fe(\000)p 566 696 6 20 v 571 687 23 2 v 48 w Ff(G)660
672 y Fe(&-L)994 646 y(\000)p 1033 646 6 20 v 1038 637
23 2 v 49 w Ff(B)48 b Fe(\000)p 1191 646 6 20 v 1197
637 23 2 v 48 w Ff(C)p 994 656 272 2 v 1037 696 a Fe(\000)p
1076 696 6 20 v 1081 687 23 2 v 49 w Ff(B)r Fe(&)p Ff(C)1286
672 y Fe(&-R)333 807 y Ff(B)r(;)8 b Fe(\000)p 428 807
6 20 v 434 798 23 2 v 49 w Ff(G)45 b(C)q(;)8 b Fe(\000)p
640 807 6 20 v 645 798 23 2 v 47 w Ff(G)p 333 826 381
2 v 407 865 a(B)r Fc(_)q Ff(C)q(;)g Fe(\000)p 566 865
6 20 v 571 856 23 2 v 47 w Ff(G)734 841 y Fc(_)p Fe(-L)891
816 y(\000)p 929 816 6 20 v 935 807 23 2 v 48 w Ff(B)p
858 826 180 2 v 858 865 a Fe(\000)p 896 865 6 20 v 902
856 23 2 v 48 w Ff(B)r Fc(_)q Ff(C)1058 838 y Fc(_)p
Fe(-R)1136 845 y Fb(1)1241 816 y Fe(\000)p 1279 816 6
20 v 1284 807 23 2 v 48 w Ff(C)p 1207 826 180 2 v 1207
865 a Fe(\000)p 1246 865 6 20 v 1251 856 23 2 v 49 w
Ff(B)r Fc(_)q Ff(C)1407 838 y Fc(_)q Fe(-R)1486 845 y
Fb(2)393 976 y Ff(B)r(;)g(A;)g Fe(\000)p 543 976 6 20
v 548 968 23 2 v 48 w Ff(G)p 352 995 306 2 v 352 1035
a(A)p Fa(->)p Ff(B)r(;)g(A;)g Fe(\000)p 584 1035 6 20
v 589 1026 23 2 v 48 w Ff(G)678 1007 y Fa(->)p Fe(-L)769
1014 y Fb(1)1039 976 y Ff(B)r(;)g Fe(\000)p 1134 976
6 20 v 1139 968 23 2 v 48 w Ff(C)p 1025 995 197 2 v 1025
1035 a Fe(\000)p 1063 1035 6 20 v 1069 1026 23 2 v 49
w Ff(B)r Fa(->)p Ff(C)1243 1011 y Fa(->)o Fe(-R)400 1109
y(\()p Ff(A)15 b Fe(b)q(eing)h(atomic\))676 1215 y Ff(C)s
Fa(->)p Fe(\()p Ff(D)q Fa(->)o Ff(B)r Fe(\)\000)p 957
1215 6 20 v 962 1206 23 2 v 49 w Ff(G)p 672 1236 363
2 v 672 1279 a Fe(\()p Ff(C)s Fe(&)p Ff(D)q Fe(\))p Fa(->)o
Ff(B)r(;)8 b Fe(\000)p 961 1279 6 20 v 966 1270 23 2
v 49 w Ff(G)1056 1249 y Fa(->)o Fe(-L)1146 1256 y Fb(2)655
1387 y Ff(C)s Fa(->)p Ff(B)r(;)g(D)q Fa(->)o Ff(B)r(;)g
Fe(\000)p 978 1387 6 20 v 983 1378 23 2 v 49 w Ff(G)p
655 1406 397 2 v 685 1448 a Fe(\()p Ff(C)s Fc(_)p Ff(D)q
Fe(\))p Fa(->)o Ff(B)r Fe(\000)p 948 1448 6 20 v 954
1439 23 2 v 49 w Ff(G)1072 1418 y Fa(->)p Fe(-L)1163
1425 y Fb(3)575 1556 y Ff(D)q Fa(->)p Ff(B)r(;)g Fe(\000)p
757 1556 6 20 v 762 1548 23 2 v 48 w Ff(C)s Fa(->)p Ff(D)46
b(B)r(;)8 b Fe(\000)p 1058 1556 6 20 v 1064 1548 23 2
v 48 w Ff(G)p 575 1575 558 2 v 676 1618 a Fe(\()p Ff(C)s
Fa(->)o Ff(D)q Fe(\))p Fa(->)p Ff(B)r Fe(\000)p 957 1618
6 20 v 962 1609 23 2 v 49 w Ff(G)1153 1587 y Fa(->)p
Fe(-L)1244 1594 y Fb(4)573 1787 y Ff(B)r Fa(<->)p Ff(C)18
b Fe(is)e(de\014ned)g(as)f Ff(B)r Fa(->)q Ff(C)s Fe(&)p
Ff(C)s Fa(->)o Ff(B)p 1812 1885 2 1625 v 25 1887 1790
2 v 244 1991 a Fe(Figure)h(1:)j(Inference)e(rules)f(for)f(G4ip;)g(see)g
(for)g(example)h([Dyc)o(kho\013,)d(1992)o(].)25 2332
y([Dyc)o(kho\013,)g(1992])22 b(Dyc)o(kho\013,)d(R.)32
b(Con)o(traction-Free)18 b(Sequen)o(t)i(Calculi)h(for)d(In)o
(tuitionistic)k(Logic.)73 2388 y Fd(Journal)16 b(of)h(Symb)n(olic)e(L)n
(o)n(gic)p Fe(,)f(57\(3\):795{8)o(07.)908 2798 y(1)p
eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF