Index
In this index, references to the definitions of terminology are
printed using boldface page numbers. References to primary
statements or proofs of theorems are printed using italic page
numbers.
A, B, C Property, 320
Abelian group, 459
cyclic, 460
direct product, 460
divisible, 461
finitely generated, 460
quotient, 460
torsion, 460
torsion-free, 460
absorbs, 470
Ackermann function, 39
activation temperature, 360
active, 342, 359, 360, 364, 387
adjoint, 270
affine stratification, 269
algebraic periodic, 269
algorithmic combinatorial game theory,
44–46
all-moderate, 405, 406, 412
all-small, 63, 405, 406, see also dicotic
alternating game, 82
in mis`ere play, 278
annihilation game, 214, 489
antichain, 154, 167, 463
Archimedean Principle, 71, 156, 403
infinitesimal analogue, 85, 156
arithmetic periodic, 187, 194, 196–197, 203
atomic, 142, 143–144, 149
atomic value, 151
atomic weight, 97, 136, 142, 140–146
and liberty counts in Go, 49
galvanized, 150
of a stopper, 298–299, 307
of Hackenbush positions, 149
transfinite, 409
atomic weight calculus, 144–146
Austin’s Theorem, 196
Avoider–Enforcer convention, see play
convention, reverse weak win
Bach’s Carousel, 315, 316, 319
balloon trajectory, 367, 368
base, 365
Berlekamp’s Sign-Expansion Rule, 421
bigraph, 281
negative, 281
binary game, 277
Binary Normal Form Theorem, 468
Birkhoff’s Theorem, 465
birthday, 60, 61–62, 71, 153, 400, 421
formal, 61, 398
of a number, 72–73
board (positional game), 42
Boolean algebra, see lattice, Boolean
Bouton’s Theorem, 3, 4, 20, 35, 85, 180,
224, 236, 254, 438, 491
Mis`ere Version, 225
bynumber, 149
bypass, 65
canonical, 336
canonical form, 64, 66, 67, 68
for finite loopy games, 317
for stoppers, 305
515
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