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diff --git a/macros/latex/contrib/complexity/tableofclasses.tex b/macros/latex/contrib/complexity/tableofclasses.tex new file mode 100644 index 0000000000..eb93e15052 --- /dev/null +++ b/macros/latex/contrib/complexity/tableofclasses.tex @@ -0,0 +1,685 @@ +|\AC| & $\AC$ & basic \\ + +|\A| & $\A$ & full \\ + +|\ACC| & $\ACC$ & basic \\ + +|\AH| & $\AH$ & basic \\ + +|\AL| & $\AL$ & basic \\ + +|\AlgP| & $\AlgP$ & full \\ + +|\AM| & $\AM$ & basic \\ + +|\AMEXP| & $\AMEXP$ & basic \\ + +|\Amp| & $\Amp$ & full \\ + +|\AmpMP| & $\AmpMP$ & full \\ + +|\AmpPBQP| & $\AmpPBQP$ & full \\ + +|\AP| & $\AP$ & basic \\ + +|\APP| & $\APP$ & full \\ + +|\APX| & $\APX$ & full \\ + +|\AUCSPACE| & $\AUCSPACE$ & full \\ + +|\AuxPDA| & $\AuxPDA$ & full \\ + +|\AVBPP| & $\AVBPP$ & full \\ + +|\AvE| & $\AvE$ & full \\ + +|\AvP| & $\AvP$ & full \\ + +|\AW| & $\AW$ & full \\ + +|\AWPP| & $\AWPP$ & full \\ + +|\betaP| & $\betaP$ & full \\ + +|\BH| & $\BH$ & basic \\ + +|\BP| & $\BP$ & full \\ + +|\BPE| & $\BPE$ & basic \\ + +|\BPEE| & $\BPEE$ & basic \\ + +|\BPHSPACE| & $\BPHSPACE$ & full \\ + +|\BPL| & $\BPL$ & full \\ + +|\BPP| & $\BPP$ & basic \\ + +|\BPPOBDD| & $\BPPOBDD$ & full \\ + +|\BPPpath| & $\BPPpath$ & full \\ + +|\BPQP| & $\BPQP$ & full \\ + +|\BPSPACE| & $\BPSPACE$ & basic \\ + +|\BPTIME| & $\BPTIME$ & basic \\ + +|\BQNC| & $\BQNC$ & full \\ + +|\BQNP| & $\BQNP$ & full \\ + +|\BQP| & $\BQP$ & basic \\ + +|\BQPOBDD| & $\BQPOBDD$ & full \\ + +|\BQTIME| & $\BQTIME$ & basic \\ + +|\C| & $\C$ & basic \\ + +|\cc| & $\cc$ & basic \\ + +|\CeL| & $\CeL$ & basic \\ + +|\CeP| & $\CeP$ & basic \\ + +|\CFL| & $\CFL$ & basic \\ + +|\CH| & $\CH$ & basic \\ + +%|\Check| & $\Check$ & full \\ + +|\CkP| & $\CkP$ & basic \\ + +|\CLOG| & $\CLOG$ & full \\ + +|\CNP| & $\CNP$ & full \\ + +|\coAM| & $\coAM$ & basic \\ + +|\coBPP| & $\coBPP$ & basic \\ + +|\coCeP| & $\coCeP$ & basic \\ + +|\cofrIP| & $\cofrIP$ & full \\ + +|\Coh| & $\Coh$ & full \\ + +|\coMA| & $\coMA$ & basic \\ + +|\compIP| & $\compIP$ & full \\ + +|\compNP| & $\compNP$ & full \\ + +|\coNE| & $\coNE$ & basic \\ + +|\coNEXP| & $\coNEXP$ & basic \\ + +|\coNL| & $\coNL$ & basic \\ + +|\coNP| & $\coNP$ & basic \\ + +|\coNQP| & $\coNQP$ & basic \\ + +|\coRE| & $\coRE$ & basic \\ + +|\coRNC| & $\coRNC$ & basic \\ + +|\coRP| & $\coRP$ & basic \\ + +|\coSL| & $\coSL$ & basic \\ + +|\coUCC| & $\coUCC$ & full \\ + +|\coUP| & $\coUP$ & basic \\ + +|\CP| & $\CP$ & full \\ + +|\CSIZE| & $\CSIZE$ & basic \\ + +|\CSL| & $\CSL$ & full \\ + +|\CZK| & $\CZK$ & full \\ + +|\D| & $\D$ & full \\ + +|\DCFL| & $\DCFL$ & full \\ + +|\DET| & $\DET$ & basic \\ + +|\DiffAC| & $\DiffAC$ & full \\ + +|\DisNP| & $\DisNP$ & full \\ + +|\DistNP| & $\DistNP$ & full \\ + +|\DP| & $\DP$ & full \\ + +|\DQP| & $\DQP$ & full \\ + +|\DSPACE| & $\DSPACE$ & basic \\ + +|\DTIME| & $\DTIME$ & basic \\ + +|\DTISP| & $\DTISP$ & basic \\ + +|\Dyn| & $\Dyn$ & full \\ + +|\DynFO| & $\DynFO$ & full \\ + +|\E| & $\E$ & basic \\ + +|\EE| & $\EE$ & basic \\ + +|\EEE| & $\EEE$ & basic \\ + +|\EESPACE| & $\EESPACE$ & basic \\ + +|\EEXP| & $\EEXP$ & basic \\ + +|\EH| & $\EH$ & basic \\ + +|\EL| & $\EL$ & full \\ + +|\ELEMENTARY| & $\ELEMENTARY$ & full \\ + +|\ELkP| & $\ELkP$ & full \\ + +|\EPTAS| & $\EPTAS$ & basic \\ + +|\EQBP| & $\EQBP$ & full \\ + +|\EQP| & $\EQP$ & full \\ + +|\EQTIME| & $\EQTIME$ & full \\ + +|\ESPACE| & $\ESPACE$ & basic \\ + +|\ExistsBPP| & $\ExistsBPP$ & full \\ + +|\ExistsNISZK| & $\ExistsNISZK$ & full \\ + +|\EXP| & $\EXP$ & basic \\ + +|\EXPSPACE| & $\EXPSPACE$ & basic \\ + +|\FBQP| & $\FBQP$ & full \\ + +|\Few| & $\Few$ & full \\ + +|\FewP| & $\FewP$ & full \\ + +|\FH| & $\FH$ & full \\ + +|\FNL| & $\FNL$ & basic \\ + +|\FNP| & $\FNP$ & basic \\ + +|\FO| & $\FO$ & full \\ + +|\FOLL| & $\FOLL$ & full \\ + +|\FP| & $\FP$ & basic \\ + +|\FPR| & $\FPR$ & full \\ + +|\FPRAS| & $\FPRAS$ & basic \\ + +|\FPT| & $\FPT$ & full \\ + +|\FPTAS| & $\FPTAS$ & full \\ + +|\FPTnu| & $\FPTnu$ & full \\ + +|\FPTsu| & $\FPTsu$ & full \\ + +|\FQMA| & $\FQMA$ & basic \\ + +|\frIP| & $\frIP$ & full \\ + +|\FTAPE| & $\FTAPE$ & full \\ + +|\FTIME| & $\FTIME$ & full \\ + +|\G| & $\G$ & full \\ + +|\GA| & $\GA$ & basic \\ + +|\GANSPACE| & $\GANSPACE$ & full \\ + +|\Gap| & $\Gap$ & basic \\ + +|\GapAC| & $\GapAC$ & basic \\ + +|\GapL| & $\GapL$ & basic \\ + +|\GapP| & $\GapP$ & basic \\ + +|\GC| & $\GC$ & full \\ + +|\GCSL| & $\GCSL$ & full \\ + +|\GI| & $\GI$ & basic \\ + +|\GPCD| & $\GPCD$ & full \\ + +|\Heur| & $\Heur$ & basic \\ + +|\HeurBPP| & $\HeurBPP$ & basic \\ + +|\HeurBPTIME| & $\HeurBPTIME$ & basic \\ + +|\HkP| & $\HkP$ & full \\ + +|\HSPACE| & $\HSPACE$ & basic \\ + +|\HVSZK| & $\HVSZK$ & full \\ + +|\IC| & $\IC$ & full \\ + +|\IP| & $\IP$ & basic \\ + +|\IPP| & $\IPP$ & full \\ + +|\K| & $\K$ & basic \\ + +|\kBQBP| & $\kBQBP$ & full \\ + +|\kBWBP| & $\kBWBP$ & full \\ + +|\kEQBP| & $\kEQBP$ & full \\ + +|\kPBP| & $\kPBP$ & full \\ + +|\KT| & $\KT$ & basic \\ + +|\L| & $\L$ & basic \\ + +|\LIN| & $\LIN$ & basic \\ + +|\LkP| & $\LkP$ & full \\ + +|\LOGCFL| & $\LOGCFL$ & full \\ + +|\LogFew| & $\LogFew$ & basic \\ + +|\LogFewNL| & $\LogFewNL$ & basic \\ + +|\LOGNP| & $\LOGNP$ & full \\ + +|\LOGSNP| & $\LOGSNP$ & full \\ + +|\LWPP| & $\LWPP$ & full \\ + +|\M| & $\M$ & full \\ + +|\MA| & $\MA$ & basic \\ + +|\MAC| & $\MAC$ & basic \\ + +|\MAE| & $\MAE$ & basic \\ + +|\MAEXP| & $\MAEXP$ & basic \\ + +|\mAL| & $\mAL$ & basic \\ + +|\MaxNP| & $\MaxNP$ & basic \\ + +|\MaxPB| & $\MaxPB$ & basic \\ + +|\MaxSNP| & $\MaxSNP$ & basic \\ + +|\mcoNL| & $\mcoNL$ & basic \\ + +|\MinPB| & $\MinPB$ & basic \\ + +|\MIP| & $\MIP$ & basic \\ + +|\MkP| & $\MkP$ & full \\ + +|\mL| & $\mL$ & basic \\ + +|\mNC| & $\mNC$ & basic \\ + +|\mNL| & $\mNL$ & basic \\ + +|\mNP| & $\mNP$ & basic \\ + +|\ModkL| & $\ModkL$ & basic \\ + +|\ModkP| & $\ModkP$ & basic \\ + +|\ModP| & $\ModP$ & basic \\ + +|\ModZkL| & $\ModZkL$ & full \\ + +|\mP| & $\mP$ & basic \\ + +|\MP| & $\MP$ & basic \\ + +|\MPC| & $\MPC$ & basic \\ + +|\mTC| & $\mTC$ & basic \\ + +|\NAuxPDA| & $\NAuxPDA$ & full \\ + +|\NC| & $\NC$ & basic \\ + +|\NE| & $\NE$ & basic \\ + +|\NEE| & $\NEE$ & basic \\ + +|\NEEE| & $\NEEE$ & basic \\ + +|\NEEXP| & $\NEEXP$ & basic \\ + +|\NEXP| & $\NEXP$ & basic \\ + +|\NIPZK| & $\NIPZK$ & full \\ + +|\NIQPZK| & $\NIQPZK$ & full \\ + +|\NIQSZK| & $\NIQSZK$ & full \\ + +|\NISZK| & $\NISZK$ & full \\ + +|\NL| & $\NL$ & basic \\ + +|\NLIN| & $\NLIN$ & basic \\ + +|\NLOG| & $\NLOG$ & full \\ + +|\NP| & $\NP$ & basic \\ + +|\NPC| & $\NPC$ & basic \\ + +|\NPI| & $\NPI$ & basic \\ + +|\NPMV| & $\NPMV$ & full \\ + +|\NPMVsel| & $\NPMVsel$ & full \\ + +|\NPO| & $\NPO$ & full \\ + +|\NPOPB| & $\NPOPB$ & full \\ + +|\NPSPACE| & $\NPSPACE$ & basic \\ + +|\NPSV| & $\NPSV$ & full \\ + +|\NPSVsel| & $\NPSVsel$ & full \\ + +|\NQP| & $\NQP$ & basic \\ + +|\NSPACE| & $\NSPACE$ & basic \\ + +|\NT| & $\NT$ & full \\ + +|\NTIME| & $\NTIME$ & basic \\ + +|\OBDD| & $\OBDD$ & full \\ + +|\OCQ| & $\OCQ$ & full \\ + +|\Opt| & $\Opt$ & basic \\ + +|\OptP| & $\OptP$ & basic \\ + +|\p| & $\p$ & basic \\ + +|\P| & $\P$ & basic \\ + +|\PAC| & $\PAC$ & basic \\ + +|\PBP| & $\PBP$ & full \\ + +|\PCD| & $\PCD$ & basic \\ + +|\Pclose| & $\Pclose$ & full \\ + +|\PCP| & $\PCP$ & basic \\ + +|\PermUP| & $\PermUP$ & full \\ + +|\PEXP| & $\PEXP$ & basic \\ + +|\PF| & $\PF$ & full \\ + +|\PFCHK| & $\PFCHK$ & full \\ + +|\PH| & $\PH$ & basic \\ + +|\PhP| & $\PhP$ & full \\ + +|\PINC| & $\PINC$ & full \\ + +|\PIO| & $\PIO$ & full \\ + +|\PKC| & $\PKC$ & full \\ + +|\PL| & $\PL$ & basic \\ + +|\PLF| & $\PLF$ & full \\ + +|\PLL| & $\PLL$ & full \\ + +|\PLS| & $\PLS$ & full \\ + +|\POBDD| & $\POBDD$ & full \\ + +|\PODN| & $\PODN$ & full \\ + +|\polyL| & $\polyL$ & full \\ + +|\PostBQP| & $\PostBQP$ & full \\ + +|\PP| & $\PP$ & basic \\ + +|\PPA| & $\PPA$ & full \\ + +|\PPAD| & $\PPAD$ & full \\ + +|\PPADS| & $\PPADS$ & full \\ + +|\Ppoly| & $\Ppoly$ & basic \\ + +|\PPP| & $\PPP$ & full \\ + +|\PPSPACE| & $\PPSPACE$ & basic \\ + +|\PQUERY| & $\PQUERY$ & full \\ + +|\PR| & $\PR$ & full \\ + +|\PrHSPACE| & $\PrHSPACE$ & full \\ + +|\Promise| & $\Promise$ & basic \\ + +|\PromiseBPP| & $\PromiseBPP$ & basic \\ + +|\PromiseBQP| & $\PromiseBQP$ & basic \\ + +|\PromiseP| & $\PromiseP$ & basic \\ + +|\PromiseRP| & $\PromiseRP$ & basic \\ + +|\PrSPACE| & $\PrSPACE$ & basic \\ + +|\PSel| & $\PSel$ & full \\ + +|\PSK| & $\PSK$ & full \\ + +|\PSPACE| & $\PSPACE$ & basic \\ + +|\PT| & $\PT$ & basic \\ + +|\PTAPE| & $\PTAPE$ & full \\ + +|\PTAS| & $\PTAS$ & basic \\ + +|\PTWK| & $\PTWK$ & basic \\ + +|\PZK| & $\PZK$ & full \\ + +|\QAC| & $\QAC$ & basic \\ + +|\QACC| & $\QACC$ & basic \\ + +|\QAM| & $\QAM$ & basic \\ + +|\QCFL| & $\QCFL$ & basic \\ + +|\QCMA| & $\QCMA$ & basic \\ + +|\QH| & $\QH$ & basic \\ + +|\QIP| & $\QIP$ & basic \\ + +|\QMA| & $\QMA$ & basic \\ + +|\QMAM| & $\QMAM$ & basic \\ + +|\QMIP| & $\QMIP$ & basic \\ + +|\QMIPle| & $\QMIPle$ & full \\ + +|\QMIPne| & $\QMIPne$ & full \\ + +|\QNC| & $\QNC$ & basic \\ + +|\QP| & $\QP$ & basic \\ + +|\QPLIN| & $\QPLIN$ & full \\ + +|\Qpoly| & $\Qpoly$ & full \\ + +|\QPSPACE| & $\QPSPACE$ & basic \\ + +|\QSZK| & $\QSZK$ & full \\ + +|\R| & $\R$ & basic \\ + +|\RE| & $\RE$ & basic \\ + +|\REG| & $\REG$ & basic \\ + +|\RevSPACE| & $\RevSPACE$ & full \\ + +|\RHL| & $\RHL$ & full \\ + +|\RHSPACE| & $\RHSPACE$ & full \\ + +|\RL| & $\RL$ & basic \\ + +|\RNC| & $\RNC$ & basic \\ + +|\RNP| & $\RNP$ & full \\ + +|\RP| & $\RP$ & basic \\ + +|\RPP| & $\RPP$ & full \\ + +|\RSPACE| & $\RSPACE$ & basic \\ + +|\S| & $\S$ & basic \\ + +|\SAC| & $\SAC$ & basic \\ + +|\SAPTIME| & $\SAPTIME$ & full \\ + +|\SBP| & $\SBP$ & full \\ + +|\SC| & $\SC$ & basic \\ + +|\SE| & $\SE$ & basic \\ + +|\SEH| & $\SEH$ & basic \\ + +|\Sel| & $\Sel$ & full \\ + +|\SelfNP| & $\SelfNP$ & full \\ + +|\SF| & $\SF$ & full \\ + +|\SIZE| & $\SIZE$ & basic \\ + +|\SKC| & $\SKC$ & basic \\ + +|\SL| & $\SL$ & basic \\ + +|\SLICEWISEPSPACE| & $\SLICEWISEPSPACE$ & full \\ + +|\SNP| & $\SNP$ & full \\ + +|\SOE| & $\SOE$ & full \\ + +|\SP| & $\SP$ & full \\ + +|\SPACE| & $\SPACE$ & basic \\ + +|\spanP| & $\spanP$ & full \\ + +|\SPARSE| & $\SPARSE$ & basic \\ + +|\SPL| & $\SPL$ & basic \\ + +|\SPP| & $\SPP$ & basic \\ + +|\SUBEXP| & $\SUBEXP$ & basic \\ + +|\symP| & $\symP$ & full \\ + +|\SZK| & $\SZK$ & basic \\ + +|\TALLY| & $\TALLY$ & full \\ + +|\TC| & $\TC$ & basic \\ + +|\TFNP| & $\TFNP$ & full \\ + +|\ThC| & $\ThC$ & full \\ + +|\TreeBQP| & $\TreeBQP$ & full \\ + +|\TREEREGULAR| & $\TREEREGULAR$ & full \\ + +|\UAP| & $\UAP$ & full \\ + +|\UCC| & $\UCC$ & full \\ + +|\UE| & $\UE$ & full \\ + +|\UL| & $\UL$ & full \\ + +|\UP| & $\UP$ & basic \\ + +|\US| & $\US$ & full \\ + +|\VNC| & $\VNC$ & full \\ + +|\VNP| & $\VNP$ & full \\ + +|\VP| & $\VP$ & full \\ + +|\VQP| & $\VQP$ & full \\ + +|\W| & $\W$ & basic \\ + +|\WAPP| & $\WAPP$ & full \\ + +|\WPP| & $\WPP$ & full \\ + +|\XORMIP| & $\XORMIP$ & full \\ + +|\XP| & $\XP$ & full \\ + +|\XPuniform| & $\XPuniform$ & full \\ + +|\YACC| & $\YACC$ & full \\ + +|\ZPE| & $\ZPE$ & basic \\ + +|\ZPP| & $\ZPP$ & basic \\ + +|\ZPTIME| & $\ZPTIME$ & basic \\ |