#19162: symbolic relations metaticket
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Reporter: rws | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.9
Component: symbolics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by rws:
Old description:
> We should provide a detailed interface for symbolic relations:
> * `bool(rel)` equivalent to `(not)(LHS-RHS).is_trivial_zero()` for ==,!=
> ; and an exception with maybe hint to the following for <,>,<=,>=
> * `satisfiable(rel)` returning
> `(Yes,example)/No/Undecidable/NotImplemented`
> * `truth(rel, (x,S1), (y,S2)...)` equivalent to `satisfiable(rel)` with
> quantifiers: for all `x,y...` in `S1,S2,...`
> * `solve(rel)` in case of `satisfiable=Yes` returning the full solution
> set
> * `prove(rel)` showing more or less steps of simplification (which is
> out of reach for the moment)
>
> Tickets:
> * #19040: to take satisfiability/truth functionality out of
> `ex.__nonzero__` into resp. member functions
New description:
We should provide a detailed interface for symbolic relations:
* `bool(rel)` equivalent to `(not)(LHS-RHS).is_trivial_zero()` for ==,!=
; and for <, >, <=, >= the result follows alpha order of lhs and rhs
* `satisfiable(rel)` returning
`(Yes,example)/No/Undecidable/NotImplemented`
* `solve(rel)` in case of `satisfiable=Yes` returning the full solution
set
* `is(rel)` attempting simplification/proof, returning `True`/`False`,
throwing `NotImplementedError`
* `ex.is_zero(simplify=False)` (default) calling the fast `bool(ex==0)`
* `ex.is_zero(simplify=True)` attempting simplification/proof
* `prove(rel)` showing more or less steps of simplification (which is out
of reach for the moment)
Tickets:
* #19040: to take satisfiability/truth functionality out of
`ex.__nonzero__` into resp. member functions
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Ticket URL: <http://trac.sagemath.org/ticket/19162#comment:2>
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