Knowledge (XXG)

Computable model theory

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as they apply to model-theoretical structures. Computable model theory introduces the ideas of computable and decidable models and theories and one of the basic problems is discovering whether or not computable or decidable models fulfilling certain model-theoretic conditions can be shown to exist.
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there was little communication between these two groups and so a number of important results were discovered independently.
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Computable model theory was developed almost simultaneously by mathematicians in the West, primarily located in the
119: 82:, Studies in Logic and the Foundations of Mathematics, vol. 138, North Holland, pp. 3–114, 75: 83: 62: 97: 93: 108: 35: 27: 43: 23: 78:(1998), "Pure Computable Model Theory", in Ershov, Iurii Leonidovich (ed.), 39: 50: 46: 80:
Handbook of Recursive Mathematics, Volume 1: Recursive Model Theory
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during the middle of the 20th century. Because of the
16:Branch of model theory that deals with computation 8: 7: 14: 26:which deals with questions of 1: 115:Constructivism (mathematics) 136: 20:Computable model theory 89:978-0-444-50003-8 63:Vaught conjecture 127: 100: 76:Harizanov, V. S. 135: 134: 130: 129: 128: 126: 125: 124: 105: 104: 90: 74: 71: 59: 22:is a branch of 17: 12: 11: 5: 133: 131: 123: 122: 117: 107: 106: 103: 102: 88: 70: 67: 66: 65: 58: 55: 15: 13: 10: 9: 6: 4: 3: 2: 132: 121: 118: 116: 113: 112: 110: 99: 95: 91: 85: 81: 77: 73: 72: 68: 64: 61: 60: 56: 54: 52: 48: 45: 41: 37: 36:United States 32: 29: 28:computability 25: 21: 120:Model theory 79: 33: 24:model theory 19: 18: 109:Categories 69:References 40:Australia 57:See also 51:Cold War 98:1673621 96:  86:  47:Russia 44:Soviet 42:, and 84:ISBN 38:and 111:: 94:MR 92:, 101:.

Index

model theory
computability
United States
Australia
Soviet
Russia
Cold War
Vaught conjecture
Harizanov, V. S.
ISBN
978-0-444-50003-8
MR
1673621
Categories
Constructivism (mathematics)
Model theory

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