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S   N~~ ">g NC  h* 0 #)RR E E   N<~~ ">*%NC   j*"0 #)RR E E   N@~~ ">!+NC  j*"0 #)RR E E H  03w% ? ̙3380___PPT10. "plansig2001poster0 0 *y"y x(    T`=ee"`&C |Adversarial Constraint Solving.0 "B"B P ^^   c Axtitle_2Cork Constraint Computation Centre, University College Cork"`8  0n  C FA.embark_initiative_logohf   C 0AMSR_type300"`8'[,   <h'G,e ? Microsoft is a registered trademark of Microsoft Corporation .?0 @# r   c < SAnewDeptLogo"`8',J   0h  ^David Stynes, Cork Constraint Computation Centre (4C), University College Cork, Cork, Ireland,_0 "$Q" .  R [  0pD8&I GSupervisors: Ken Brown, 4C Eugene Freuder, 4C Youssef Hamadi, Microsoft H0 H"b"        d  0왏K h'  This work is funded by the Irish Research Council for Science, Engineering and Technology (IRCSET) Embark Initiative in collaboration with Microsoft Research. 0 2"   0x h- 'What is Adversarial Constraint Solving?"(0( 2("('   0D-# HIt is the combination of constraint satisfaction techniques with artificial intelligence game playing to tackle decision problems in which two or more self-motivated agents with different goals must produce a joint solution."0( 2"$   0LK &Constraint Satisfaction Problems (CSP)"'0( 2'"(&   0Kh- wAI Game Playing"0( 2"(   6[  N eSimple constraint problem    BDejJ  Y1 0 #   B0njJ " Y2 0 #   Bt~jJ-"M# Y3 0 #   B\jJR r Y1 0 #   B?jJ  Y2 0 #   BjJ  Y3 0 #   B8ΓjJ =! Y1 0 #   B jJM!m" Y2 0 #   Bd jJ"# Y3 0 #   B jJ:Z [i"0 #   B jJ  [j"0 #    Bp jJ [k"0 # ^2 ! 6g EcC#^2 " 6g w W !^2 # 6g `@=$B $ s *Dg  X ,$D 0B % s *Dg X #,$D 0B & s *Dg \  x!,$@ 0B ' s *Dg & !,$@ 0B ( s *Dg L  R ,$@ 0B ) s *Dg  h ,$@ 0 * B jJ`  ]i < j 0 #  + B jJ ]j = k 0 #  , B jJ% ' Y2 0 #  - B" jJ% ' Y3 0 #  . B, jJ%L 5' Y4 0 # ^2 / 6g ]% 6' 0 B,7 jJ% ' Y5 0 #  1 BX@ jJ#,X% ]k < m 0 # B 2 s *Dg  %,$@ 0B 3@ s *Dg  _ %,$@  0B 4@ s *Dg ! &,$@  0B 5@ s *Dg !S %,$@  0B 6@ s *Dg !e%,$@ 0B 7@ s *Dg 4#e &,$D 0B 8@ s *Dg *# %,$@  0B 9@ s *Dg  &,$@  0B :@ s *Dg  o%,$@ 0 ; B O jJ=% ]& _2*i < m 0 # B < s *Dg H  %,$@ 0B = s *Dg Y  &,$@ 0B > s *Dg N &,$@ 0B ? s *Dg q!n%,$@ 0 @ 0 [G bWe can use constraint propagation and other techniques from constraint satisfaction to reduce the size of variables domains."~0( 2~"}  A 6 * j') <    m 6* Z(* hAfter Constraint Propagation   n B*jJA.a/ Y1 0 #  o B jJq/0 Y2 0 #  p B jJ- .. 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B jJ[+` {, ]i < j 0 #   B\ jJP+p, ]j = k 0 #   BjJt4 5 Y3 0 #   BtjJs4L 55 Y4 0 #   6UjJ6 ;7 [m"0 # ^2  6g 3 676  B/jJr4 5 Y5 0 #   B:jJ~2,X3 ]k < m 0 # RB @ s *Dg p0 4RB @ s *Dg f0S 4RB @ s *Dg o0e4RB @ s *Dg 1e 4RB @ s *Dg 1 4  BCjJ3 4 _2*i < m 0 # RB  s *Dg . 4RB  s *Dg . 4RB  s *Dg .4RB  s *Dg /n4  6TjJ{' ( [m"0 #   0|*[*G LWe can let agents reason about their decisions and take into account their adversaries possible future decisions."s0( 2s"r ^  6jJ+#$RB @ s *DjJlu#RB  s *DjJ%*}^  6jJ XB  0DjJ +"^  6jJV":#^  6jJz"L'^#XB @ 0DjJ c"RB @ s *DjJs#=$RB  s *DjJ#a$^  6jJ$%^  6jJ %]%RB @ s *DjJ#$RB  s *DjJ#z$^  6jJ%B%^  6jJ%%  &  BB jJ !! jmy possible moves: 0 #   B jJ  (" radversary's possible moves 0 #   B jJ%`!$ ' `evaluate 0  #   B$v jJ%' Y- 0 #   Bn jJ&L$' Y+ 0 #   Bq jJ%F' Y- 0 #   B`V) jJ &|,' Y- 0 # ^  6jJ|)W* XB  0DjJ 4*O+"^  6jJ0"q'L(#^  6jJT"*+8#XB @ 0DjJ 'k)!RB @ s *DjJM#&'$RB  s *DjJ^#'z($^  6jJ$B&'%^  6jJ$ ((%RB @ s *DjJh#M* +$RB  s *DjJy#q+,$^  6jJ$)*%^  6jJ$+m,%  B$ jJ%+b,& Y- 0 #   Bخ$ jJ%)*& Y+ 0 #   B8 jJ% ((& Y+ 0 #   BIjJ%@&'' Y+ 0 # ^  6jJ+#$,RB @ s *DjJ,lu#E.RB  s *DjJ,%*<.^  6jJ.z/XB  0DjJ/0^  6jJ11^  6jJ91L'2XB @ 0DjJ/c0RB @ s *DjJ22=3RB  s *DjJC2a3^  6jJ34^  6jJ3]4RB @ s *DjJM23RB  s *DjJ^2z3^  6jJ3B4^  6jJ3 4  B$ jJ45 Y- 0 #   B jJ4L5 Y+ 0 #   B_ jJ4F5 Y- 0 #   BO jJ4|5 Y- 0 # ^  6jJp.|)W*T/XB  0DjJ/4*O+0^  6jJ0q'L(1^  6jJ1*+1XB @ 0DjJ/'k)0RB @ s *DjJ 2&'h3RB  s *DjJ2'z(f3^  6jJ3B&'v4^  6jJ3 ((4RB @ s *DjJ'2M* +3RB  s *DjJ82q+,3^  6jJ3)*4^  6jJ3+m,4  BP jJ4+b,5 Y- 0 #   BjJ4)*5 Y+ 0 #   Bt{jJ4 ((5 Y+ 0 #   BDjJ4@&'5 Y+ 0 #   B8cjJ1 $2 a propagate 0  #    B+B#style.visibility<*&%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*$%(DL' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*)%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*'%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%%(D' =%(D<' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*2%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*3%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*5%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*9%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*:%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*6%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*7%(DO' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*=%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*>%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*?%(Do' =4@BBBB%(D' =1:B#ff0000*z3>!Bstyle.color= `B<*qDS' =%(D' =%(D' =4@BBBB%(D' =1:Bhidden*o3>+B#style.visibility<*z%(D' =A@BBBB0B%(D' =1:Bhidden*o3>+B#style.visibility<*p%(D' =4@BBBB%(D' =1:Bhidden*o3>+B#style.visibility<*}%(D' =%(D' =%(D' =A@BBBB0B%(D' =1:Bhidden*o3>+B#style.visibility<*r%(D' =4@BBBB%(D' =1:Bhidden*o3>+B#style.visibility<*%(D' =4@BBBB%(D' =1:Bhidden*o3>+B#style.visibility<*%(D' =4@BBBB%(D' =1:Bhidden*o3>+B#style.visibility<*%(D' =%(Dq' =%(D' =A@BBBB0B%(D' =1:Bhidden*o3>+B#style.visibility<*%(D' =4@BBBB%(D' =1:Bhidden*o3>+B#style.visibility<*%(++0+p0 ++0+r0 ++0+0 +r ]ٽ1Oh+'0O px    ,4PowerPoint Presentationplansig2001posterdstynes2Microsoft PowerPoint@`eF!@@@ Tzߋ0GN^  L'!%    """)))UUUMMMBBB999|PP3f333f3333f3ffffff3f̙3ff333f333333333f33333333f33f3ff3f3f3f3333f33̙33333f333333f3333f3ffffff3f33ff3f3f3f3fff3ffffffffff3ffff̙fff3fffff3fff333f3f3ff3ff33f̙̙3̙ff̙̙̙3f̙3f333f3333f3ffffff3f̙3f3f3f333f3333f3ffffff3f̙3f3ffffffffff!___www%(P4!%A n(nFʦ """)))UUUMMMBBB999|PP3f3333f333ff3fffff3f3f̙f3333f3333333333f3333333f3f33ff3f3f3f3333f3333333f3̙33333f333ff3ffffff3f33f3ff3f3f3ffff3fffffffff3fffffff3f̙ffff3ff333f3ff33fff33f3ff̙3f3f3333f333ff3fffff̙̙3̙f̙̙̙3f̙3f3f3333f333ff3fffff3f3f̙3ffffffffff!___wwwݮݵݼݵmCCϵݵCmCCCݵݵݮCݵݵݵ6XWWWX6]6W6W6~mmCCCCCCCmCCCmmmnsînmmmlRoot EntrydO)tgƎ@PicturesCurrent User8SummaryInformation(P _v-simontv-simontStynesRoot EntrydO)17PicturesCurrent UsernSummaryInformation(P2_Dr Fabien A. P. PetitcolasDr Fabien A. P. PetitcolasRoot EntrydO)@PicturesCurrent UserDSummaryInformation(P՜.+,D՜.+,     hCustomRY ArialTimes New RomanComic Sans MSTimesplansig2001posterSlide 1  Fonts UsedDesign Template Slide Titles(PX _PID_HLINKSVersionA\http://4c.ucc.ie/  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~PowerPoint Document(KDocumentSummaryInformation8Root EntrydO)rIBPicturesCurrent UserDSummaryInformation(P$_ David StynesDavid StynesPowerPoint Document(KDocumentSummaryInformation8