diff --git a/docs/package-lock.json b/docs/package-lock.json
index 0940f7a..5e2c3a1 100644
--- a/docs/package-lock.json
+++ b/docs/package-lock.json
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+        "@rollup/rollup-win32-arm64-msvc": "4.19.0",
+        "@rollup/rollup-win32-ia32-msvc": "4.19.0",
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+      "resolved": "https://registry.npmjs.org/vite/-/vite-5.3.5.tgz",
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-        "@shikijs/core": "^1.6.2",
-        "@shikijs/transformers": "^1.6.2",
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-        "@vue/shared": "^3.4.27",
-        "@vueuse/core": "^10.10.0",
-        "@vueuse/integrations": "^10.10.0",
+        "@vue/devtools-api": "^7.3.5",
+        "@vue/shared": "^3.4.31",
+        "@vueuse/core": "^10.11.0",
+        "@vueuse/integrations": "^10.11.0",
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-        "minisearch": "^6.3.0",
-        "shiki": "^1.6.2",
-        "vite": "^5.2.12",
-        "vue": "^3.4.27"
+        "minisearch": "^7.0.0",
+        "shiki": "^1.10.3",
+        "vite": "^5.3.3",
+        "vue": "^3.4.31"
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+      "resolved": "https://registry.npmjs.org/vue/-/vue-3.4.34.tgz",
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-        "@vue/runtime-dom": "3.4.30",
-        "@vue/server-renderer": "3.4.30",
-        "@vue/shared": "3.4.30"
+        "@vue/compiler-dom": "3.4.34",
+        "@vue/compiler-sfc": "3.4.34",
+        "@vue/runtime-dom": "3.4.34",
+        "@vue/server-renderer": "3.4.34",
+        "@vue/shared": "3.4.34"
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diff --git a/docs/src/constraints/intro.md b/docs/src/constraints/intro.md
index 779f061..ae4c385 100644
--- a/docs/src/constraints/intro.md
+++ b/docs/src/constraints/intro.md
@@ -1,6 +1,39 @@
 # Introduction to basics constraint-based modeling tools
 
-Constraint programming (CP) is a powerful paradigm for solving combinatorial problems, and Julia Constraints provides an efficient and flexible framework for developing constraint-based models.
+Constraint programming (CP) is a high-level paradigm for solving combinatorial problems, and Julia Constraints provides an efficient and flexible framework for developing constraint-based models.
+
+## Terminology
+
+!!! warning
+    Terminology in Optimization varies strongly between different methods and communities. In this doc we try to be consistent with the following principles (in bold).
+    - **Constraint:** A general mathematical predicate involving variables.
+    - **Constraint Instantiation:** The application of a constraint to specific variables.
+    - **Configuration:** A specific assignment of values to the variables.
+    - **Constraint Satisfaction/Violation:** Whether a configuration meets or fails to meet a constraint.
+
+### Constraint
+
+**Definition:** A constraint is a formal mathematical statement that expresses a condition or a relation between a set of variables. It can be seen as a predicate that the variables must satisfy.
+
+**Example:** Consider the constraint ``x + y \leq 10``. This constraint involves two variables, ``x`` and ``y``, and specifies that their sum must not exceed ``10``.
+
+### Constraint Instantiation
+
+**Definition:** A constraint instantiation refers to a specific application of a generic constraint to a particular subset of variables from a problem. It is essentially the constraint applied with the actual variables of the problem.
+
+**Example:** Given the generic constraint ``x + y \leq 10``, if we have variables ``x_1`` and ``x_2`` in our problem, then the instantiated constraint would be ``x_1 + x_2 \leq 10``.
+
+### Configuration
+
+**Definition:** A configuration, also known as an assignment, is a specific set of values assigned to the variables in their respective domains. It represents a possible state of the variables.
+
+**Example:** For variables ``x`` and ``y`` with domains ``[0, 5]``, a configuration could be ``x = 3`` and ``y = 2``.
+
+### Constraint Satisfaction or Violation by a Configuration
+
+**Definition:** This refers to whether a specific configuration (set of variable assignments) satisfies or violates a given constraint instantiation. A constraint is satisfied if the configuration makes the constraint `true`; otherwise, it is violated (`false`).
+
+**Example:** Given the constraint instantiation ``x + y \leq 10`` and the configuration ``x = 3`` and ``y = 2``, the constraint is satisfied because ``3 + 2 = 5``, which is less than or equal to 10. However, for the configuration ``x = 6`` and ``y = 5``, the constraint is violated because ``6 + 5 = 11``, which exceeds ``10``.
 
 ## Domain-defined variables