66
77 .. currentmodule :: libsemigroups_pybind11
88
9- Converting to a CongruenceWord
9+ Converting to a Congruence
1010==============================
1111
1212This page contains documentation relating to converting
13- ``libsemigroups_pybind11 `` objects into :any: `CongruenceWord ` instances using
13+ ``libsemigroups_pybind11 `` objects into :any: `Congruence ` instances using
1414the :any: `to ` function.
1515
1616.. seealso ::
@@ -23,17 +23,17 @@ Various uses
2323
2424Recall that the signature for the :any: `to ` function is ``to(*args, Return) ``.
2525In what follows, we explain how different values of *args * and *Return * may
26- be used to construct :any: `CongruenceWord ` objects. The following options are
26+ be used to construct :any: `Congruence ` objects. The following options are
2727possible:
2828
2929 * :ref: `froidure-pin-to-congruence `.
3030
3131.. _froidure-pin-to-congruence :
3232
33- Converting a :any: `FroidurePinPBR ` to a :any: `CongruenceWord `
33+ Converting a :any: `FroidurePinPBR ` to a :any: `Congruence `
3434~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3535
36- To construct a :any: `CongruenceWord ` from a :any: `FroidurePinPBR `, specify all
36+ To construct a :any: `Congruence ` from a :any: `FroidurePinPBR `, specify all
3737of the following values for *args *:
3838
3939 * **knd ** (:any: `congruence_kind `) -- the kind of the congruence being
@@ -44,17 +44,17 @@ of the following values for *args*:
4444
4545Additionally, specify one of the following tuples for *Return *:
4646
47- * ``(Congruence, str) `` for constructing a :any: `CongruenceWord ` on words
47+ * ``(Congruence, str) `` for constructing a :any: `Congruence ` on words
4848 of type ``str ``; or
49- * ``(Congruence, List[int]) `` for constructing a :any: `CongruenceWord ` on
49+ * ``(Congruence, List[int]) `` for constructing a :any: `Congruence ` on
5050 words of type ``List[int] ``.
5151
5252This function converts the :any: `FroidurePinPBR ` object *fpb * into a
53- :any: `CongruenceWord ` object using the :any: `WordGraph ` *wg * (which should be
53+ :any: `Congruence ` object using the :any: `WordGraph ` *wg * (which should be
5454either the :any: `FroidurePinBase.left_cayley_graph ` or the
5555:any: `FroidurePinBase.right_cayley_graph ` of *fpb *).
5656
57- This returned :any: `CongruenceWord ` object represents the trivial congruence
57+ This returned :any: `Congruence ` object represents the trivial congruence
5858over the semigroup defined by *fpb *.
5959
6060This will throw a :any: `LibsemigroupsError ` if *wg * is not the
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