#19162: symbolic relations metaticket
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Reporter: rws | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.9
Component: symbolics | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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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
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Ticket URL: <http://trac.sagemath.org/ticket/19162>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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