diff --git a/02_Proposal/sections/10_foundations.tex b/02_Proposal/sections/10_foundations.tex
index d217aa5..db87e93 100644
--- a/02_Proposal/sections/10_foundations.tex
+++ b/02_Proposal/sections/10_foundations.tex
@@ -1,25 +1,13 @@
 \chapter{Foundations}
 \label{ch:Foundations}
 
-\section{Group Decision-Making}
-\label{sec:Foundation:GroupDecisionMaking}
-
-\section{Decision Tasks}
-\label{sec:Foundation:DecisionTask}
-
 \section{Recommender System}
-\label{sec:Foundation:RecommenderSystem}
-
-\section{Single User Decision Scenario}
-\label{sec:Foundation:SingleUserDecisionScenario}
-
-\section{Group Decision Scenario}
-\label{sec:Foundation:GroupDecisionScenario}
+\label{Foundations:RecommenderSystem}
 
 \section{Product Configuration}
-\label{sec:Foundation:ProductConfiguration}
+\label{Foundations:ProductConfiguration}
 
-Product configuration is a process consisting of a series of decision tasks whereby a product is constructed of components which interact with each other. During a configuration process no new components are created their interplay and specification is defined beforehand \cite[~ p. 42-43]{sabinProductConfigurationFrameworksa1998}.
+Product configuration is a process consisting of a series of decision tasks whereby a product is constructed of components which interact with each other. During a configuration process no new components are created. Their interplay and specification is defined beforehand \cite[~ p. 42-43]{sabinProductConfigurationFrameworksa1998}.
 
 Formally a configuration problem can be specified as a \emph{constraint satisfaction problem (CSP)} \cite{tsangFoundationsConstraintSatisfaction1993} as 
 \[
@@ -27,6 +15,24 @@ Formally a configuration problem can be specified as a \emph{constraint satisfac
 \]
 where \( V = \{v_1,\dots, v_n\} \) is a set of variables, \( D = dom : V \mapsto X \) is a relation of variables and their corresponding domain definitions \( X \), and \( C = C_{PREF} \cup C_{KB} \) is a set of constraints with customer preferences \( C_{PREF} \) and configuration knowledge base \( C_{KB} \) \cite{felfernigOpenConfiguration2014, felferningGroupBasedConfiguration2016}.
 
-\section{Collaborative Product Configuration}
-\label{sec:Foundation:CollaborativeProductConfiguration}
+
+\section{Group-Based Product Configuration}
+\label{Foundations:GroupBasedProductConfiguration}
+
+To define group-based product configuration we extend the definition (\ref{Foundations:ProductConfiguration}) to 
+\[ 
+    C_{PREF} = \bigcup 
+PREF_i \]
+with preferences of user \( i \) as \( PREF_i \) \cite{ felferningGroupBasedConfiguration2016}.
+
+\section{Group-Based Configuration-Solution}
+\label{Foundations:GroupBasedConfigurationSolution}
+
+\ref{Foundations:ProductConfiguration} and \ref{Foundations:GroupBasedProductConfiguration} expand to a solution of a group-based configuration with the addition of variable assignments
+\[
+    C_{CONF} = \bigcup_{v_i \in V} \{ v_i = x_i \}, \ x_i \in dom(v_i)
+\]
+and where \( C_{CONF} \cup C_{PREF} \cup C_{KB} \) is consistent \cite{ felferningGroupBasedConfiguration2016}.
+
+