Instances X. Hypotheses H. Specific. h 3. General. = <Sunny, Warm, High, Strong, Cool, Same> x = <Sunny, Warm, High, Light, Warm, Same> 2

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5 ) L " J J A Instances X Hypotheses H Specific x 1 x 2 h 1 h 2 h 3 General x 1 = <Sunny, Warm, High, Strong, Cool, Same> x = <Sunny, Warm, High, Light, Warm, Same> 2 h 1 = <Sunny,?,?, Strong,?,?> h = <Sunny,?,?,?,?,?> 2 h = <Sunny,?,?,?, Cool,?> 3 ^9

6 " 3 ) K 8J49;=46:<O94 0- ;E@ ;ESJ- DE; DE1 -C[4F C 498 N -: C S DE49;E4A- ;=> :<4 8J498JP 4 8Ds; :<8C[- Y?@A> -:AC S :<;=;E>N4 J3J;E- C[@A8DE;E>Y:<498); 498 ;ESJ- C[@A8DE;E>Y:<498); D DN:<;=46D -5 L* Y, SJ-08 8J@A;ES 498JP FO6DE- >B-01JOV:AC[- 498 L* ;ES - 8J-46L; PA- 8J-0>Y:<O!C[@A8WDs;E>Y:<498); ;ES:<; 4VD DB:<;E46D -5 )* Y 3 ;E1J3J; ;ESJ-DE46D ^

7 D! ( Instances X Hypotheses H - x 3 h 0 h 1 Specific x + 1 x+ 2 h 2,3 x+ 4 h 4 General x = <Sunny Warm Normal Strong Warm Same>, + 1 x 2 = <Sunny Warm High Strong Warm Same>, + x 3 = <Rainy Cold High Strong Warm Change>, - x = <Sunny Warm High Strong Cool Change>, + 4 h = <,,,,, > 0 h 1 = <Sunny Warm Normal Strong Warm Sam h 2 = <Sunny Warm? Strong Warm Same> h = <Sunny Warm? Strong Warm Same> 3 h = <Sunny Warm? Strong?? > 4 ^9

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9 D 7 46D L &`]` 1X4 ;ES : ;E> :H498J498JP -46 :H/ 1JO9-D C[@ 8C[-01J;? 4F 4F, Y & "? Y -R:AC S ;E>Y:<498J4 8JP -46 :</ 1JO9-8ZY J7? Y & C"498 W P? = S = :JVW & 8ZY J7? Y & C W & Y & "?D Y &, S - ab ] a ;ES >N-RDs1 -CZ;X;=@ -Ds4VD DE1:AC[- N :<85 ;E>Y:< JP -46 :H/ 1JO9-D W 46DX;ESJ- Ds3 >B@A/ N C[@A8WDs46DE;E-08); 1X4 ;ES :<O9O ;E> :H498J498JP -46 :</ 1JO9-DX4 8 W 9 G2 N P? = S = :J W &;M _i

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11 D S: { <Sunny, Warm,?, Strong,?,?> } <Sunny,?,?, Strong,?,?> <Sunny, Warm,?,?,?,?> <?, Warm,?, Strong,?,?> G: { <Sunny,?,?,?,?,?>, <?, Warm,?,?,?,?> } _9_

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15 D S 0 : {<Ø, Ø, Ø, Ø, Ø, Ø>} G 0 : {<?,?,?,?,?,?>} _9

16 S: { <Sunny, Warm,?, Strong,?,?> } <Sunny,?,?, Strong,?,?> <Sunny, Warm,?,?,?,?> <?, Warm,?, Strong,?,?> G: { <Sunny,?,?,?,?,?>, <?, Warm,?,?,?,?> } _

17 ) S: { <Sunny, Warm,?, Strong,?,?> } <Sunny,?,?, Strong,?,?> <Sunny, Warm,?,?,?,?> <?, Warm,?, Strong,?,?> G: { <Sunny,?,?,?,?,?>, <?, Warm,?,?,?,?> } 8:9<;== > # %$?22$ Q 9 3? =BA P?? Q P = A DC 8 as => P??OQ? %$ Q S A #2$ 9 #$ DC 839<; ==> # %$?2 %$ Q S A # %$ 9 #$ DC _9

18 ) 8:9<;== > # %$?22$ Q 9 3? =BA P??OQ P =BA DC 839<; ==> #2$?2 %$ Q S A #2$ 9 #$ DC 9 8:9<;==> # %$?22$ Q 2C!"$#!%&"'(')+*, -). #/'01# : ; <>=@? A =@? <CBD3FEG= A 7IH ; <>=@? 3F<>? J$K LNM OQPSRSTVUXWYP[Z\OQ]Q^XPSZ`_baNW0T\PScNTedXa&aNfhgjikSl&monqpsrtpeiuenvmwnxNyz {X}j]~TR &PSOQO yv}jr ƒ W\ ˆ Š `]QOQOby4 ˆŒŒ

19 C E D D " '0 -)/"$- ( ' ') ' ( -) "! "$!#!% -,!e" $#% &' -) & '0-'j*)( * # '0+,- &'/.. #!%-)0 # '1#!#2.. #!%-)0 # '1# # 3 "$-`0# 6. ' 8793 :# 2G : ; <>=@? ; A =@? <CB K%< = <>7 HJ$K "j- "A( 3 #&B # -) &'!"') Lv OQPSRSTVUXWYP[Z\OQ]Q^XPSZ`_baNW0T\PScNTedXa&aNfhgjikSl&monqpsrtpeiuenvmwnxNyz {X}j]~TR &PSOQO yv}jr ƒ W\ ˆ Š `]QOQOby4 ˆŒŒ

20 ?# '):!#!% - "A(# #3 "$03 " -) # ')-("$#!% ' ( # -("A 3-!#![ - - "j# #3 " ' * K - * # -) -)!%&"'(')"!!"$-`$# " ' ')03# - -) # ')-("$#![ # "@* -) - "$# #3 # "j-(" $ %'&)(*,+-*/.0( 1 * ( *,70% 89*/:; j*< &' "j#c # = "$ '0- j*d"'('0(-)0 # ' > '0.! -)/"$- * "$#C -("A 3-!#!% - "$#! ( ' &# #53 - "$# #3 " #BA ( *DC0E> F 0F *)G *EH ( I G > "$#/'JI 0"3&!1"$& 1#C-("$&' > LK OQPSRSTVUXWYP[Z\OQ]Q^XPSZ`_baNW0T\PScNTedXa&aNfhgjikSl&monqpsrtpeiuenvmwnxNyz {X}j]~TR &PSOQO yv}jr ƒ W\ ˆ Š `]QOQOby4 ˆŒŒ

21 Training examples New instance Inductive system Candidate Elimination Algorithm Using Hypothesis Space H Classification of new instance, or "don t know" Training examples New instance Assertion " H contains the target concept" Equivalent deductive system Theorem Prover Classification of new instance, or "don t know" Inductive bias made explicit L OQPSRSTVUXWYP[Z\OQ]Q^XPSZ`_baNW0T\PScNTedXa&aNfhgjikSl&monqpsrtpeiuenvmwnxNyz {X}j]~TR &PSOQO yv}jr ƒ W\ ˆ Š `]QOQOby4 ˆŒŒ

22 9 C - "( " '# &"'('0+* - "$-(! ' ( 0. ') ') " "!" # %$& $&')('!*(% +,!.-!/0!* ' 213! !/)('9;: LL OQPSRSTVUXWYP[Z\OQ]Q^XPSZ`_baNW0T\PScNTedXa&aNfhgjikSl&monqpsrtpeiuenvmwnxNyz {X}j]~TR &PSOQO yv}jr ƒ W\ ˆ Š `]QOQOby4 ˆŒŒ

23 " #!% - "A # #3 "' '0 "2! -`.3 E # "$ 4- '!%"!! " 6 '00 # ' "![!1"$# : "$-) = # "j-)0# "$03" -` 3 "$# B &. # "2 '! "2 "![-)( "A(# S'. #!%(-("$#C- "2 #!1"$# 3# "$-). '0 *,. >. ( ' #./!%-) "A ' & '('0 # +* "A(# &' &" '0 #./!%-) "A(# '!"$# 1 >. "$1#C-.![-) ')')-) ' L OQPSRSTVUXWYP[Z\OQ]Q^XPSZ`_baNW0T\PScNTedXa&aNfhgjikSl&monqpsrtpeiuenvmwnxNyz {X}j]~TR &PSOQO yv}jr ƒ W\ ˆ Š `]QOQOby4 ˆŒŒ

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