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id
stringlengths
3
11
carrier
stringlengths
12
25
carrier_size
int64
2
4
gradient_name
stringlengths
6
12
mapping
stringlengths
26
50
partial_trace
stringlengths
81
102
full_trace
stringlengths
400
466
closure_holds
bool
1 class
fixed_points
stringclasses
2 values
is_involution
bool
2 classes
cycle_length
int64
-1
4
forced_tags
stringclasses
5 values
yes_no
["no", "yes"]
2
negate
{"yes": "no", "no": "yes"}
DOMAIN: yes_no CARRIER: ['no', 'yes'] GRADIENTS: ['negate', 'id'] THETA: 1.0 ---
DOMAIN: yes_no CARRIER: ['no', 'yes'] GRADIENTS: ['negate', 'id'] THETA: 1.0 --- FIXED_POINTS[negate]: [] FIXED_POINTS[id]: ['yes', 'no'] CLOSURE[negate]: HOLDS CLOSURE[id]: HOLDS INVOLUTION[negate]: YES INVOLUTION[id]: YES CYCLE[negate]: length=2 CYCLE[id]: length=1 FORCED: CLOSURE NO_FIXED_POINTS FIXED_POINTS ...
true
[]
true
2
["CLOSURE", "NO_FIXED_POINTS", "FIXED_POINTS", "INVOLUTION", "INVOLUTION", "UNIFORM_2_CYCLE", "IDENTITY_GRADIENT", "THEOREM_2.1"]
hot_cold
["cold", "hot"]
2
invert_temp
{"hot": "cold", "cold": "hot"}
DOMAIN: hot_cold CARRIER: ['cold', 'hot'] GRADIENTS: ['invert_temp', 'id'] THETA: 1.0 ---
DOMAIN: hot_cold CARRIER: ['cold', 'hot'] GRADIENTS: ['invert_temp', 'id'] THETA: 1.0 --- FIXED_POINTS[invert_temp]: [] FIXED_POINTS[id]: ['cold', 'hot'] CLOSURE[invert_temp]: HOLDS CLOSURE[id]: HOLDS INVOLUTION[invert_temp]: YES INVOLUTION[id]: YES CYCLE[invert_temp]: length=2 CYCLE[id]: length=1 FORCED: CLOSURE N...
true
[]
true
2
["CLOSURE", "NO_FIXED_POINTS", "FIXED_POINTS", "INVOLUTION", "INVOLUTION", "UNIFORM_2_CYCLE", "IDENTITY_GRADIENT", "THEOREM_2.1"]
open_closed
["closed", "open"]
2
toggle_door
{"open": "closed", "closed": "open"}
DOMAIN: open_closed CARRIER: ['closed', 'open'] GRADIENTS: ['toggle_door', 'id'] THETA: 1.0 ---
DOMAIN: open_closed CARRIER: ['closed', 'open'] GRADIENTS: ['toggle_door', 'id'] THETA: 1.0 --- FIXED_POINTS[toggle_door]: [] FIXED_POINTS[id]: ['closed', 'open'] CLOSURE[toggle_door]: HOLDS CLOSURE[id]: HOLDS INVOLUTION[toggle_door]: YES INVOLUTION[id]: YES CYCLE[toggle_door]: length=2 CYCLE[id]: length=1 FORCED: CL...
true
[]
true
2
["CLOSURE", "NO_FIXED_POINTS", "FIXED_POINTS", "INVOLUTION", "INVOLUTION", "UNIFORM_2_CYCLE", "IDENTITY_GRADIENT", "THEOREM_2.1"]
win_lose
["lose", "win"]
2
flip_result
{"win": "lose", "lose": "win"}
DOMAIN: win_lose CARRIER: ['lose', 'win'] GRADIENTS: ['flip_result', 'id'] THETA: 1.0 ---
DOMAIN: win_lose CARRIER: ['lose', 'win'] GRADIENTS: ['flip_result', 'id'] THETA: 1.0 --- FIXED_POINTS[flip_result]: [] FIXED_POINTS[id]: ['win', 'lose'] CLOSURE[flip_result]: HOLDS CLOSURE[id]: HOLDS INVOLUTION[flip_result]: YES INVOLUTION[id]: YES CYCLE[flip_result]: length=2 CYCLE[id]: length=1 FORCED: CLOSURE N...
true
[]
true
2
["CLOSURE", "NO_FIXED_POINTS", "FIXED_POINTS", "INVOLUTION", "INVOLUTION", "UNIFORM_2_CYCLE", "IDENTITY_GRADIENT", "THEOREM_2.1"]
day_night
["day", "night"]
2
swap_time
{"day": "night", "night": "day"}
DOMAIN: day_night CARRIER: ['day', 'night'] GRADIENTS: ['swap_time', 'id'] THETA: 1.0 ---
DOMAIN: day_night CARRIER: ['day', 'night'] GRADIENTS: ['swap_time', 'id'] THETA: 1.0 --- FIXED_POINTS[swap_time]: [] FIXED_POINTS[id]: ['day', 'night'] CLOSURE[swap_time]: HOLDS CLOSURE[id]: HOLDS INVOLUTION[swap_time]: YES INVOLUTION[id]: YES CYCLE[swap_time]: length=2 CYCLE[id]: length=1 FORCED: CLOSURE NO_FIXED...
true
[]
true
2
["CLOSURE", "NO_FIXED_POINTS", "FIXED_POINTS", "INVOLUTION", "INVOLUTION", "UNIFORM_2_CYCLE", "IDENTITY_GRADIENT", "THEOREM_2.1"]
pause_play
["pause", "play", "stop"]
3
toggle_play
{"pause": "play", "play": "pause", "stop": "stop"}
DOMAIN: pause_play CARRIER: ['pause', 'play', 'stop'] GRADIENTS: ['toggle_play', 'id'] THETA: 1.0 ---
DOMAIN: pause_play CARRIER: ['pause', 'play', 'stop'] GRADIENTS: ['toggle_play', 'id'] THETA: 1.0 --- FIXED_POINTS[toggle_play]: ['stop'] FIXED_POINTS[id]: ['play', 'pause', 'stop'] CLOSURE[toggle_play]: HOLDS CLOSURE[id]: HOLDS INVOLUTION[toggle_play]: YES INVOLUTION[id]: YES CYCLE[toggle_play]: length=mixed CYCLE[id]...
true
["stop"]
true
-1
["CLOSURE", "FIXED_POINTS", "FIXED_POINTS", "INVOLUTION", "INVOLUTION", "MIXED_CYCLE_STRUCTURE", "IDENTITY_GRADIENT", "THEOREM_2.1"]
rgb
["b", "g", "r"]
3
rgb_cycle
{"r": "g", "g": "b", "b": "r"}
DOMAIN: rgb CARRIER: ['b', 'g', 'r'] GRADIENTS: ['rgb_cycle', 'id'] THETA: 1.0 ---
DOMAIN: rgb CARRIER: ['b', 'g', 'r'] GRADIENTS: ['rgb_cycle', 'id'] THETA: 1.0 --- FIXED_POINTS[rgb_cycle]: [] FIXED_POINTS[id]: ['r', 'b', 'g'] CLOSURE[rgb_cycle]: HOLDS CLOSURE[id]: HOLDS INVOLUTION[rgb_cycle]: NO INVOLUTION[id]: YES CYCLE[rgb_cycle]: length=3 CYCLE[id]: length=1 FORCED: CLOSURE NO_FIXED_POINTS ...
true
[]
false
3
["CLOSURE", "NO_FIXED_POINTS", "FIXED_POINTS", "NOT_INVOLUTION", "INVOLUTION", "UNIFORM_3_CYCLE", "IDENTITY_GRADIENT", "THEOREM_2.1"]
xyz
["x", "y", "z"]
3
xyz_cycle
{"x": "y", "y": "z", "z": "x"}
DOMAIN: xyz CARRIER: ['x', 'y', 'z'] GRADIENTS: ['xyz_cycle', 'id'] THETA: 1.0 ---
DOMAIN: xyz CARRIER: ['x', 'y', 'z'] GRADIENTS: ['xyz_cycle', 'id'] THETA: 1.0 --- FIXED_POINTS[xyz_cycle]: [] FIXED_POINTS[id]: ['x', 'y', 'z'] CLOSURE[xyz_cycle]: HOLDS CLOSURE[id]: HOLDS INVOLUTION[xyz_cycle]: NO INVOLUTION[id]: YES CYCLE[xyz_cycle]: length=3 CYCLE[id]: length=1 FORCED: CLOSURE NO_FIXED_POINTS ...
true
[]
false
3
["CLOSURE", "NO_FIXED_POINTS", "FIXED_POINTS", "NOT_INVOLUTION", "INVOLUTION", "UNIFORM_3_CYCLE", "IDENTITY_GRADIENT", "THEOREM_2.1"]
abc
["a", "b", "c"]
3
abc_rotate
{"a": "b", "b": "c", "c": "a"}
DOMAIN: abc CARRIER: ['a', 'b', 'c'] GRADIENTS: ['abc_rotate', 'id'] THETA: 1.0 ---
DOMAIN: abc CARRIER: ['a', 'b', 'c'] GRADIENTS: ['abc_rotate', 'id'] THETA: 1.0 --- FIXED_POINTS[abc_rotate]: [] FIXED_POINTS[id]: ['a', 'b', 'c'] CLOSURE[abc_rotate]: HOLDS CLOSURE[id]: HOLDS INVOLUTION[abc_rotate]: NO INVOLUTION[id]: YES CYCLE[abc_rotate]: length=3 CYCLE[id]: length=1 FORCED: CLOSURE NO_FIXED_POI...
true
[]
false
3
["CLOSURE", "NO_FIXED_POINTS", "FIXED_POINTS", "NOT_INVOLUTION", "INVOLUTION", "UNIFORM_3_CYCLE", "IDENTITY_GRADIENT", "THEOREM_2.1"]
nsew
["E", "N", "S", "W"]
4
compass_turn
{"N": "E", "E": "S", "S": "W", "W": "N"}
DOMAIN: nsew CARRIER: ['E', 'N', 'S', 'W'] GRADIENTS: ['compass_turn', 'id'] THETA: 1.0 ---
DOMAIN: nsew CARRIER: ['E', 'N', 'S', 'W'] GRADIENTS: ['compass_turn', 'id'] THETA: 1.0 --- FIXED_POINTS[compass_turn]: [] FIXED_POINTS[id]: ['S', 'W', 'N', 'E'] CLOSURE[compass_turn]: HOLDS CLOSURE[id]: HOLDS INVOLUTION[compass_turn]: NO INVOLUTION[id]: YES CYCLE[compass_turn]: length=4 CYCLE[id]: length=1 FORCED: C...
true
[]
false
4
["CLOSURE", "NO_FIXED_POINTS", "FIXED_POINTS", "NOT_INVOLUTION", "INVOLUTION", "UNIFORM_4_CYCLE", "IDENTITY_GRADIENT", "THEOREM_2.1"]
seasons
["Au", "Sp", "Su", "Wi"]
4
next_season
{"Sp": "Su", "Su": "Au", "Au": "Wi", "Wi": "Sp"}
DOMAIN: seasons CARRIER: ['Au', 'Sp', 'Su', 'Wi'] GRADIENTS: ['next_season', 'id'] THETA: 1.0 ---
DOMAIN: seasons CARRIER: ['Au', 'Sp', 'Su', 'Wi'] GRADIENTS: ['next_season', 'id'] THETA: 1.0 --- FIXED_POINTS[next_season]: [] FIXED_POINTS[id]: ['Wi', 'Sp', 'Au', 'Su'] CLOSURE[next_season]: HOLDS CLOSURE[id]: HOLDS INVOLUTION[next_season]: NO INVOLUTION[id]: YES CYCLE[next_season]: length=4 CYCLE[id]: length=1 FORCE...
true
[]
false
4
["CLOSURE", "NO_FIXED_POINTS", "FIXED_POINTS", "NOT_INVOLUTION", "INVOLUTION", "UNIFORM_4_CYCLE", "IDENTITY_GRADIENT", "THEOREM_2.1"]
ab_cd_swap
[1, 2, 3, 4]
4
swap_pairs
{"1": "2", "2": "1", "3": "4", "4": "3"}
DOMAIN: ab_cd_swap CARRIER: [1, 2, 3, 4] GRADIENTS: ['swap_pairs', 'id'] THETA: 1.0 ---
DOMAIN: ab_cd_swap CARRIER: [1, 2, 3, 4] GRADIENTS: ['swap_pairs', 'id'] THETA: 1.0 --- FIXED_POINTS[swap_pairs]: [] FIXED_POINTS[id]: [1, 2, 3, 4] CLOSURE[swap_pairs]: HOLDS CLOSURE[id]: HOLDS INVOLUTION[swap_pairs]: YES INVOLUTION[id]: YES CYCLE[swap_pairs]: length=2 CYCLE[id]: length=1 FORCED: CLOSURE NO_FIXED_P...
true
[]
true
2
["CLOSURE", "NO_FIXED_POINTS", "FIXED_POINTS", "INVOLUTION", "INVOLUTION", "UNIFORM_2_CYCLE", "IDENTITY_GRADIENT", "MANY_VALUED_LOGIC_FORCED", "THEOREM_2.1"]
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