Backport specification from my PhD thesis

This replaces the text of the specification and the rule list with the text in my PhD thesis.

Most importantly this adds an abstract proof checking procedure that specifies the semantic of an Altehe proof (modulo the proof rules).

Furthermore, it adapts the notation more to SMT-LIB: everything is in λ-application style ((f x) instead of f(x)) and we no longer have a distinct connective. Instead we use the equality predicate everywhere.

On the technical side this now requires lualatex for Unicode math.

spec/changelog.tex

@@ -26,6 +26,13 @@ following changes were implemented in this release.
   \item An index that lists all proof rules was added.
 \end{itemize}
 
+Proof rules:
+\begin{itemize}
+  \item The rule \proofRule{implies_simplify} is no longer allowed to
+  perform the simplification $(\varphi_1\rightarrow \varphi_2)\rightarrow \varphi_2
+  ⇒  \varphi_1\lor \varphi_2$.  This is covered by \proofRule{bool_simplify}.
+\end{itemize}
+
 \subsection*{0.2 --- \DTMdisplaydate{2022}{12}{19}{-1}}
 
 This is an intermediate release.  It collects all changes to the original