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Last change
on this file since 228 was
228,
checked in by mulligan, 9 years ago
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Conjunction, disjunction and 'xorjunction' implemented on bitvectors.
Lots of supporting datatypes. Vectors.ma includes some diabolical
dependent type hackery due to Wilmer.
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File size:
602 bytes
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| 1 | include "Vector.ma". |
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| 2 | include "Nat.ma". |
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| 3 | include "Bool.ma". |
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| 4 | |
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| 5 | ndefinition BitVector ≝ λn: Nat. Vector Bool n. |
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| 6 | |
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| 7 | ndefinition zero ≝ |
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| 8 | λn: Nat. |
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| 9 | replicate Bool n False. |
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| 10 | |
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| 11 | ndefinition conjunction ≝ |
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| 12 | λn: Nat. |
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| 13 | λb: BitVector n. |
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| 14 | λc: BitVector n. |
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| 15 | zip Bool Bool Bool n conjunction b c. |
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| 16 | |
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| 17 | ndefinition inclusive_disjunction ≝ |
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| 18 | λn: Nat. |
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| 19 | λb: BitVector n. |
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| 20 | λc: BitVector n. |
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| 21 | zip Bool Bool Bool n inclusive_disjunction b c. |
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| 22 | |
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| 23 | ndefinition exclusive_disjunction ≝ |
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| 24 | λn: Nat. |
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| 25 | λb: BitVector n. |
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| 26 | λc: BitVector n. |
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| 27 | zip Bool Bool Bool n exclusive_disjunction b c. |
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| 28 | |
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| 29 | |
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