This commit is contained in:
Burkhart Wolff 2023-04-20 11:46:50 +02:00
parent 2c7df482e8
commit f093bfc961
3 changed files with 5 additions and 5 deletions

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@ -751,7 +751,7 @@ This normal form is closed under deterministic and communication operators.
The advantage of this format is that we can mimick the well-known product automata construction
for an arbitrary number of synchronized processes under normal form.
We only show the case of the synchronous product of two processes: \<close>
text*[T3::"theorem", short_name="\<open>Product Construction\<close>", level="Some 2"]\<open>
Theorem*[T3, short_name="\<open>Product Construction\<close>", level="Some 2"]\<open>
Parallel composition translates to normal form:
@{cartouche [display,indent=5]\<open>(P\<^sub>n\<^sub>o\<^sub>r\<^sub>m\<lbrakk>\<tau>\<^sub>1,\<upsilon>\<^sub>1\<rbrakk> \<sigma>\<^sub>1) || (P\<^sub>n\<^sub>o\<^sub>r\<^sub>m\<lbrakk>\<tau>\<^sub>2,\<upsilon>\<^sub>2\<rbrakk> \<sigma>\<^sub>2) =
P\<^sub>n\<^sub>o\<^sub>r\<^sub>m\<lbrakk>\<lambda>(\<sigma>\<^sub>1,\<sigma>\<^sub>2). \<tau>\<^sub>1 \<sigma>\<^sub>1 \<inter> \<tau>\<^sub>2 \<sigma>\<^sub>2 , \<lambda>(\<sigma>\<^sub>1,\<sigma>\<^sub>2).\<lambda>e.(\<upsilon>\<^sub>1 \<sigma>\<^sub>1 e, \<upsilon>\<^sub>2 \<sigma>\<^sub>2 e)\<rbrakk> (\<sigma>\<^sub>1,\<sigma>\<^sub>2)\<close>}

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@ -36,10 +36,10 @@ define_shortcut* TeXLive \<rightleftharpoons> \<open>\TeXLive\<close>
text\<open>Note that these setups assume that the associated \<^LaTeX> macros
are defined, \<^eg>, in the document prelude. \<close>
define_macro* index \<rightleftharpoons> \<open>\index{\<close> _ \<open>}\<close>
define_macro* bindex \<rightleftharpoons> \<open>\bindex{\<close> _ \<open>}\<close>
define_macro* index \<rightleftharpoons> \<open>\index{\<close> _ \<open>}\<close>
define_macro* bindex \<rightleftharpoons> \<open>\bindex{\<close> _ \<open>}\<close>
define_macro* nolinkurl \<rightleftharpoons> \<open>\nolinkurl{\<close> _ \<open>}\<close>
define_macro* center \<rightleftharpoons> \<open>\center{\<close> _ \<open>}\<close>
define_macro* center \<rightleftharpoons> \<open>\center{\<close> _ \<open>}\<close>
define_macro* ltxinline \<rightleftharpoons> \<open>\inlineltx|\<close> _ \<open>|\<close>

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@ -1544,7 +1544,7 @@ subsubsection\<open>Restricting the Use of Ontologies to Specific Templates\<clo
text\<open>
As ontology representations might rely on features only provided by certain templates
(\<^LaTeX>-classes), authors of ontology representations might restrict their use to
specific classes. This can, \<^eg>, be done using the \inlineltx|\@ifclassloaded{}| command:
specific classes. This can, \<^eg>, be done using the \<^ltxinline>\<open>\@ifclassloaded{}\<close> command:
\<^latex>\<open>
\begin{ltx}
\@ifclassloaded{llncs}{}%