54c22efca1
Due to nested recursion, we do two passes of `getRecArgInfo`: One on each argument in isolation, to see which inductive types are around (e.g. `Tree` and `List`), and then we later refine/replace this result with the data for the nested type former (the implicit `ListTree`). If we have nested recursion through a non-recursive data type like `Array` or `Prod` then arguemnts of these types should survive the first phase, so that we can still use them when looking for, say, `Array Tree`. This was helpfully reported by @arthur-adjedj.
159 lines
5.7 KiB
Text
159 lines
5.7 KiB
Text
guessLexFailures.lean:9:4-9:18: error: fail to show termination for
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nonTerminating
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with errors
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failed to infer structural recursion:
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Cannot use parameter #1:
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failed to eliminate recursive application
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nonTerminating n.succ m.succ
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Cannot use parameter #2:
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failed to eliminate recursive application
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nonTerminating n.succ m.succ
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Could not find a decreasing measure.
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The arguments relate at each recursive call as follows:
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(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
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x1 x2
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1) 11:12-46 ? ?
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Please use `termination_by` to specify a decreasing measure.
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guessLexFailures.lean:15:0-18:31: error: Could not find a decreasing measure.
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The arguments relate at each recursive call as follows:
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(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
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x1 x2
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1) 17:12-47 ? ?
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Please use `termination_by` to specify a decreasing measure.
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guessLexFailures.lean:20:4-20:15: error: fail to show termination for
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noArguments
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with errors
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failed to infer structural recursion:
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no parameters suitable for structural recursion
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well-founded recursion cannot be used, 'noArguments' does not take any (non-fixed) arguments
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guessLexFailures.lean:22:4-22:23: error: fail to show termination for
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noNonFixedArguments
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with errors
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failed to infer structural recursion:
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Not considering parameter n of noNonFixedArguments:
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it is unchanged in the recursive calls
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no parameters suitable for structural recursion
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well-founded recursion cannot be used, 'noNonFixedArguments' does not take any (non-fixed) arguments
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guessLexFailures.lean:27:0-33:31: error: Could not find a decreasing measure.
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The arguments relate at each recursive call as follows:
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(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
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n m l
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1) 29:6-25 = = =
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2) 30:6-23 = < _
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3) 31:6-23 < _ _
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Please use `termination_by` to specify a decreasing measure.
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guessLexFailures.lean:37:0-43:31: error: Could not find a decreasing measure.
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The arguments relate at each recursive call as follows:
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(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
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n m x4
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1) 39:6-27 = = =
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2) 40:6-25 = < _
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3) 41:6-25 < _ _
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Please use `termination_by` to specify a decreasing measure.
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guessLexFailures.lean:48:0-54:31: error: Could not find a decreasing measure.
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The arguments relate at each recursive call as follows:
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(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
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n m l
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1) 50:6-25 = = =
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2) 51:6-23 = < _
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3) 52:6-23 < _ _
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Please use `termination_by` to specify a decreasing measure.
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guessLexFailures.lean:59:6-59:7: error: fail to show termination for
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Mutual.f
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Mutual.g
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Mutual.h
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with errors
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failed to infer structural recursion:
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Not considering parameter fixed of Mutual.f:
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it is unchanged in the recursive calls
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Not considering parameter fixed of Mutual.g:
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it is unchanged in the recursive calls
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Not considering parameter fixed of Mutual.h:
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it is unchanged in the recursive calls
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Too many possible combinations of parameters of type Nat (or please indicate the recursive argument explicitly using `termination_by structural`).
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Skipping arguments of type True, as Mutual.f has no compatible argument.
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Could not find a decreasing measure.
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The arguments relate at each recursive call as follows:
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(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
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Call from Mutual.f to Mutual.f at 61:8-33:
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n m l
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= = =
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Call from Mutual.f to Mutual.f at 62:8-31:
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n m l
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= < <
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Call from Mutual.f to Mutual.g at 63:8-39:
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n m l
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n < ? ?
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m ? = ?
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l ? ? <
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Call from Mutual.g to Mutual.g at 68:8-35:
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n m l
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? ? =
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Call from Mutual.g to Mutual.g at 69:8-33:
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n m l
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_ _ <
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Call from Mutual.g to Mutual.h at 70:8-27:
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n m l
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n _ _ ?
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m _ _ ?
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Call from Mutual.h to Mutual.f at 75:8-33:
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n m
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n _ _
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m _ _
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l _ _
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Call from Mutual.h to Mutual.h at 76:8-27:
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n m
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_ _
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Call from Mutual.h to Mutual.h at 77:8-27:
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n m
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_ _
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Please use `termination_by` to specify a decreasing measure.
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guessLexFailures.lean:87:4-87:5: error: fail to show termination for
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DuplicatedCall.f
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with errors
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failed to infer structural recursion:
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Cannot use parameter #1:
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failed to eliminate recursive application
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DuplicatedCall.f (n + 2) (m + 1)
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Cannot use parameter #2:
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failed to eliminate recursive application
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DuplicatedCall.f (n + 2) (m + 1)
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Could not find a decreasing measure.
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The arguments relate at each recursive call as follows:
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(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
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n m
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1) 89:19-32 ? ?
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Please use `termination_by` to specify a decreasing measure.
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guessLexFailures.lean:100:0-103:31: error: Could not find a decreasing measure.
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The arguments relate at each recursive call as follows:
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(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
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n m
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1) 101:83-105 ? ?
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Please use `termination_by` to specify a decreasing measure.
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guessLexFailures.lean:113:14-113:31: error: failed to prove termination, possible solutions:
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- Use `have`-expressions to prove the remaining goals
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- Use `termination_by` to specify a different well-founded relation
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- Use `decreasing_by` to specify your own tactic for discharging this kind of goal
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n✝ m n : Nat
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⊢ n < n✝
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guessLexFailures.lean:119:0-123:31: error: Could not find a decreasing measure.
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The arguments relate at each recursive call as follows:
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(<, ≤, =: relation proved, ? all proofs failed, _: no proof attempted)
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n m
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1) 121:31-54 ? ?
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Please use `termination_by` to specify a decreasing measure.
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guessLexFailures.lean:131:14-131:31: error: failed to prove termination, possible solutions:
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- Use `have`-expressions to prove the remaining goals
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- Use `termination_by` to specify a different well-founded relation
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- Use `decreasing_by` to specify your own tactic for discharging this kind of goal
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m n✝ n : Nat
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⊢ n < n✝ + 1
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