[DOC] minor fix

abl/reasoning/kb.py

@@ -429,7 +429,7 @@ class PrologKB(KBBase):
     def get_query_string(self, pseudo_label, y, revision_idx):
         """
         Get the query to be used for consulting Prolog.
-        This is a default fuction for demo, users would override this function to adapt to their own
+        This is a default function for demo, users would override this function to adapt to their own
         Prolog file. In this demo function, return query `logic_forward([kept_labels, Revise_labels], Res).`.
         
         Parameters

docs/Intro/Evaluation.rst

@@ -10,7 +10,7 @@
 Evaluation Metrics
 ==================
 
-ABL-Package seperates the evaluation process as na independent class from the ``BaseBridge`` which accounts for training and testing. To customize our own metrics, we need to inherit from ``BaseMetric`` and implement the ``process`` and ``compute_metrics`` methods. The ``process`` method accepts a batch of model prediction. After processing this batch, we save the information to ``self.results`` property. The input results of ``compute_metrics`` is all the information saved in ``process`` and it uses these information to calculate and return a dict that holds the evaluation results. 
+ABL-Package seperates the evaluation process as an independent class from the ``BaseBridge`` which accounts for training and testing. To customize our own metrics, we need to inherit from ``BaseMetric`` and implement the ``process`` and ``compute_metrics`` methods. The ``process`` method accepts a batch of model prediction. After processing this batch, we save the information to ``self.results`` property. The input results of ``compute_metrics`` is all the information saved in ``process`` and it uses these information to calculate and return a dict that holds the evaluation results. 
 
 We provide two basic metrics, namely ``SymbolMetric`` and ``SemanticsMetric``, which are used to evaluate the accuracy of the machine learning model's predictions and the accuracy of the ``logic_forward`` results, respectively. Using ``SymbolMetric`` as an example, the following code shows how to implement a custom metrics.
 

docs/Intro/Quick-Start.rst

@@ -118,7 +118,7 @@ Afterward, we wrap the ``base_model`` into ``ABLModel``.
 
     model = ABLModel(base_model)
 
-Read more about `building the machine learning part <Learning.html>`_.
+Read more about `building the learning part <Learning.html>`_.
 
 Building the Reasoning Part
 ---------------------------

docs/Overview/Abductive-Learning.rst

@@ -3,27 +3,26 @@ Abductive Learning
 
 Traditional supervised machine learning, e.g. classification, is
 predominantly data-driven, as shown in the below figure. 
-Here, a set of data examples is given, 
-where the input serving as training
-instance, and the ouput serving as the corresponding ground-truth
-label. These data are then used to train a classifier model :math:`f` 
-to accurately predict the unseen data input.
+Here, a set of data examples is given, including training instances 
+:math:`\{x_1,\dots,x_m'}` and corresponding ground-truth labels :math:`\{\text{label}(x_1),\dots,\text{label}(x_m)'}`. 
+These data are then used to train a classifier model :math:`f`, 
+aiming to accurately predict the unseen data instances.
 
 .. image:: ../img/ML.png
    :align: center
    :width: 300px
 
-In **Abductive Learning (ABL)**, we assume that, in addition to data as
-examples, there is also a knowledge base :math:`\mathcal{KB}` containing
+In **Abductive Learning (ABL)**, we assume that, in addition to data, 
+there is also a knowledge base :math:`\mathcal{KB}` containing
 domain knowledge at our disposal. We aim for the classifier :math:`f` 
-to make correct predictions on data input :math:`\{x_1,\dots,x_m\}`, 
-and meanwhile, the logical facts grounded by
+to make correct predictions on data instances :math:`\{x_1,\dots,x_m\}`, 
+and meanwhile, the logical facts grounded by the prediction
 :math:`\left\{f(\boldsymbol{x}_1), \ldots, f(\boldsymbol{x}_m)\right\}`
 should be compatible with :math:`\mathcal{KB}`.
 
 The process of ABL is as follows:
 
-1. Upon receiving data inputs :math:`\left\{x_1,\dots,x_m\right\}`,
+1. Upon receiving data instances :math:`\left\{x_1,\dots,x_m\right\}` as input,
    pseudo-labels
    :math:`\left\{f(\boldsymbol{x}_1), \ldots, f(\boldsymbol{x}_m)\right\}`
    are predicted by a data-driven classifier model.