2015-07-14 01:46:09 +00:00
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rewrite rules for iff
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#2, ?M_1 - ?M_2 < succ ?M_1 ↦ true
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#1, ?M_1 < 0 ↦ false
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#1, ?M_1 < succ ?M_1 ↦ true
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#1, ?M_1 < ?M_1 ↦ false
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#1, 0 < succ ?M_1 ↦ true
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#2, ?M_1 - ?M_2 ≤ ?M_1 ↦ true
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#1, 0 ≤ ?M_1 ↦ true
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#1, succ ?M_1 ≤ ?M_1 ↦ false
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#1, pred ?M_1 ≤ ?M_1 ↦ true
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#1, ?M_1 ≤ succ ?M_1 ↦ true
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2015-06-02 00:53:25 +00:00
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rewrite rules for eq
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2015-06-02 01:07:31 +00:00
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#1, g ?M_1 ↦ f ?M_1 + 1
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#2, g ?M_1 ↦ 1
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#2, f ?M_1 ↦ 0
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2015-07-14 01:46:09 +00:00
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#1, 0 - ?M_1 ↦ 0
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#2, succ ?M_1 - succ ?M_2 ↦ ?M_1 - ?M_2
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#4, ite ?M_1 ?M_4 ?M_4 ↦ ?M_4
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