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Last change
on this file since 231 was
231,
checked in by mulligan, 10 years ago
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BitVector? stuff from this morning: need further development of Nat
theory before I can write any interesting functions on BitVectors?.
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File size:
998 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 | ndefinition Bit ≝ BitVector (S Z). |
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| 7 | ndefinition Nibble ≝ BitVector (S (S (S (S Z)))). |
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| 8 | ndefinition Byte7 ≝ BitVector (S (S (S (S (S (S (S Z))))))). |
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| 9 | ndefinition Byte ≝ BitVector (S (S (S (S (S (S (S (S Z)))))))). |
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| 10 | ndefinition Word ≝ BitVector (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z)))))))))))))))). |
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| 11 | |
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| 12 | ndefinition zero ≝ |
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| 13 | λn: Nat. |
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| 14 | replicate Bool n False. |
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| 15 | |
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| 16 | ndefinition conjunction ≝ |
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| 17 | λn: Nat. |
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| 18 | λb: BitVector n. |
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| 19 | λc: BitVector n. |
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| 20 | zip Bool Bool Bool n conjunction b c. |
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| 21 | |
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| 22 | ndefinition inclusive_disjunction ≝ |
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| 23 | λn: Nat. |
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| 24 | λb: BitVector n. |
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| 25 | λc: BitVector n. |
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| 26 | zip Bool Bool Bool n inclusive_disjunction b c. |
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| 27 | |
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| 28 | ndefinition exclusive_disjunction ≝ |
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| 29 | λn: Nat. |
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| 30 | λb: BitVector n. |
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| 31 | λc: BitVector n. |
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| 32 | zip Bool Bool Bool n exclusive_disjunction b c. |
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| 33 | |
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| 34 | nlet rec pad (n: Nat) (m: Nat) (b: BitVector n) (p: less_than_or_equal n m) ≝ |
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| 35 | |
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