236 lines
3.8 KiB
Plaintext
236 lines
3.8 KiB
Plaintext
% Simple examples for boolean handler
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/*
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[eclipse 6]: and(X,Y,Z),(X=1;X=0;X=Y).
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Z = Var_m333
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X = 1
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Y = Var_m333
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Constraints:
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(3) boolean(Var_m333)
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More? (;)
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Z = 0
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X = 0
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Y = Var_m333
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Constraints:
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(3) boolean(Var_m333)
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More? (;)
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Z = _m309
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X = _m309
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Y = _m309
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Constraints:
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(3) boolean(_m309)
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yes.
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*/
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% alternative formulations
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nand1(X1,Y1,Z):- and(X,Y,Z),neg(X1,X),neg(Y1,Y).
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nand2(X1,Y1,Z):- or(X1,Y1,Z1),neg(Z1,Z).
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test_nand(X,Y,Z1,Z2):- nand1(X,Y,Z1),nand2(X,Y,Z2),neg(Z1,Z2).
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or1(X,Y,Z):- nand1(X,Y,Z1),neg(Z1,Z).
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or2(X,Y,Z):- nand2(X,Y,Z1),neg(Z1,Z).
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or3(A,B,C):- xor(A,B,D),and(A,B,E),xor(D,E,C).
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test_or(A,B,C,D):- (or1(A,B,C);or2(A,B,C);or3(A,B,C)),or(A,B,D),neg(C,D).
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xor1(A,B,C):- or(A,B,C1), and(A,B,C2), neg(C2,C3), and(C1,C3,C).
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test_xor(A,B,C,D):- xor1(A,B,C),xor(A,B,D),neg(C,D).
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and1(A,B,C):- neg(A,AN),neg(B,BN),or(AN,BN,CN),neg(CN,C).
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test_and(A,B,C,D):- and1(A,B,C),and(A,B,D),neg(C,D).
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test(X,Y,Z):- and(X,Y,Z),or(X,Y,Z),neg(X,Z).
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% full-adder circuit boolean algebra example sept 1991, nov 1993
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add(I1,I2,I3,O1,O2):-
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xor(I1,I2,X1),
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and(I1,I2,A1),
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xor(I3,X1,O1),
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and(I3,X1,A2),
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or(A1,A2,O2).
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/*
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add(L1,L2,L3):- add(L1,L2,L3,0).
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add([],[],[C],C).
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add([X|L1],[Y|L2],[Z|L3],C):-
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add(X,Y,C,Z,C1),
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add(L1,L2,L3,C1).
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*/
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add(L1,L2,[C|L3]):- add(L1,L2,L3,C).
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add([],[],[],0).
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add([X|L1],[Y|L2],[Z|L3],C):-
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add(L1,L2,L3,C1),
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add(X,Y,C1,Z,C).
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/*
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[eclipse 56]: add(L,L,R).
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L = []
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R = [0] More? (;)
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L = [_g71]
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R = [_g71, 0] More? (;)
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L = [_g71, _g79]
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R = [_g71, _g79, 0] More? (;)
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L = [_g71, _g79, _g87]
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R = [_g71, _g79, _g87, 0] More? (;)
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L = [_g71, _g79, _g87, _g95]
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R = [_g71, _g79, _g87, _g95, 0] More? (;)
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[eclipse 59]: add([X,X,X],[Y,Y,Y],R), (X=1;X=0;X=Y;neg(X,Y)).
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R = [_m5677, Var_m4777, Var_m2407, Var_m419]
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X = 1
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Y = Var_m395
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Constraints:
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(39) boolean(_m5251)
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(33) boolean(Var_m1499)
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(19) and(Var_m395, Var_m1499, 0)
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(31) xor(Var_m395, Var_m1499, Var_m4777)
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(34) and(Var_m395, Var_m1499, _m5251)
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(16) xor(Var_m395, Var_m1499, Var_m2407)
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(43) neg(Var_m395, Var_m419)
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(38) boolean(Var_m395)
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(37) or(Var_m395, _m5251, _m5677)
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More? (;)
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R = [0, Var_m395, Var_m395, Var_m395]
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X = 0
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Y = Var_m395
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Constraints:
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(33) boolean(Var_m395)
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More? (;)
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R = [_m371, _m371, _m371, 0]
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X = _m371
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Y = _m371
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Constraints:
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(3) boolean(_m371)
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More? (;)
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R = [_m5251, Var_m4777, Var_m2407, Var_m419]
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X = _m371
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Y = Var_m395
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Constraints:
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(1) xor(_m371, Var_m395, Var_m419)
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(2) boolean(_m371)
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(3) boolean(Var_m395)
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(4) and(_m371, Var_m395, _m877)
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(10) xor(_m371, Var_m395, Var_m1499)
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(13) and(_m371, Var_m395, _m1973)
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(16) xor(_m877, Var_m1499, Var_m2407)
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(17) boolean(_m877)
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(18) boolean(Var_m1499)
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(19) and(_m877, Var_m1499, _m2881)
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(22) or(_m1973, _m2881, _m3307)
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(23) boolean(_m1973)
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(24) boolean(_m2881)
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(25) xor(_m371, Var_m395, Var_m3773)
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(31) xor(_m3307, Var_m3773, Var_m4777)
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(32) boolean(_m3307)
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(33) boolean(Var_m3773)
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(39) boolean(_m5251)
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(34) and(_m3307, Var_m3773, _m5251)
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(28) and(_m371, Var_m395, 0)
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yes.
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[eclipse 60]: add([X,X,X],[Y,Y,Y],R), (X=1;X=0;X=Y;neg(X,Y)), labeling.
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R = [0, 0, 0, 1]
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X = 1
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Y = 0 More? (;)
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R = [1, 1, 1, 0]
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X = 1
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Y = 1 More? (;)
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R = [0, 1, 1, 1]
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X = 1
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Y = 0 More? (;)
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R = [0, 0, 0, 0]
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X = 0
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Y = 0 More? (;)
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R = [0, 1, 1, 1]
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X = 0
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Y = 1 More? (;)
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R = [0, 0, 0, 0]
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X = 0
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Y = 0 More? (;)
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R = [1, 1, 1, 0]
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X = 1
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Y = 1 More? (;)
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R = [0, 0, 0, 0]
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X = 0
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Y = 0 More? (;)
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R = [0, 1, 1, 1]
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X = 0
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Y = 1 More? (;)
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R = [0, 1, 1, 1]
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X = 1
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Y = 0
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yes.
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[eclipse 66]: add(L,R,[X|L]).
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R = []
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X = 0
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L = [] More? (;)
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R = [0]
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X = 0
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L = [_m295]
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Constraints:
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(2) boolean(_m295)
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More? (;)
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R = [0, 0]
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X = 0
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L = [_m1785, _m303]
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Constraints:
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(11) boolean(_m303)
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(20) boolean(_m1785)
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More? (;)
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R = [0, 0, 0]
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X = 0
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L = [_m3275, _m1793, _m311]
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Constraints:
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(29) boolean(_m311)
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(38) boolean(_m1793)
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(47) boolean(_m3275)
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More? (;)
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yes.
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*/
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