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authorKarl Berry <karl@freefriends.org>2020-07-23 21:25:49 +0000
committerKarl Berry <karl@freefriends.org>2020-07-23 21:25:49 +0000
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+membranecomputing - a LaTeX package for the Membrane Computing
+community. It comprises the definition of P systems, rules and
+some concepts related to languages and computational
+complexity usually needed for Membrane Computing research.
+
+Written by David Orellana Martín <dorellana@us.es>
+
+No dependencies other than the standards ifthen and xstring packages.
+See membranecomputing.pdf for full documentation
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% Copyright and license
+% =====================
+%
+% Copyright (C) 2020 David Orellana Martín
+%
+% This work may be distributed and/or modified under the
+% conditions of the LaTeX Project Public License, either version 1.3
+% of this license or (at your option) any later version.
+% The latest version of this license is in
+% http://www.latex-project.org/lppl.txt
+% and version 1.3 or later is part of all distributions of LaTeX
+% version 2005/12/01 or later.
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \ No newline at end of file
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+\documentclass{article}
+
+\usepackage[utf8]{inputenc}
+
+\usepackage{membranecomputing}
+\usepackage{hyperref}
+\usepackage{enumitem}
+\usepackage{amssymb}
+\usepackage{longtable}
+
+\title{Package \texttt{membranecomputing} (v0.1)}
+\author{David Orellana-Martín \\ \texttt{\href{mailto:dorellana@us.es}{dorellana@us.es}}}
+\begin{document}
+
+\maketitle
+
+\tableofcontents
+
+\section{Introduction}
+\label{sec:introduction}
+
+Membrane computing is a framework where different models of
+computations, called membrane systems or P systems arise from. The
+notation of these models is very variate since the number of
+researchers in the area is very high, and also their background is
+different, and therefore the notation can slightly change. The idea of
+this package is to cover all the possible variants in the area and
+their respective rules. Concerning the rules, the objective is
+twofold: On the one hand, to use commands to transcript a rule in a
+paper format; On the other hand, since P-Lingua is the \textit{de
+ facto} standard language for simulating P systems, there is a
+possibility to print the rules in the P-Lingua language, ready to be
+copied and pasted into a \texttt{.pli} file.
+
+\section{Package options}
+\label{sec:package-options}
+
+The \texttt{membranecomputing} package offers the option
+\texttt{blackboard}. The differences of this option can be found in
+Subsection~\ref{sec:font-option}.
+
+\subsection{Font option}
+\label{sec:font-option}
+
+Notation of P systems can change depending on the model. But even with
+the same model, some differences can be found between different
+papers. For instance, while some researchers use the symbol $\Gamma$
+to denote the working alphabet, other use the letter $O$. Other
+example is the use of the letters $\mathcal{M}_{i}$ or $w_{i}$ for
+describing the initial multisets of the regions. For this purpose,
+this option has been implemented.
+
+\begin{itemize}
+\item \texttt{traditional} (\textit{Default}) This typesets the
+ symbols like
+ $\Gamma, \Sigma, \mathcal{M}_{i}, \mathcal{R}_{i},
+ \rho_{i}$~\footnote{For SNP systems, the singleton $\{a\}$, is still
+ called $O$ in this mode.}.
+\item \texttt{blackboard} This typesets the symbols like
+ $O, E, w_{i}, R_{i}, p_{i}$.
+\end{itemize}
+
+The rest of the symbols are defined without taking into account this option.
+
+\section{Using the package}
+\label{sec:using-package}
+
+In this section I will try to explain all the different uses of this
+package, from basic use to creation of new templates.
+
+\subsection{Basic notations}
+\label{sec:basic-notations}
+
+This is a list of some notations that can be used for defining initial
+multisets, sets of rules, and so on.
+
+\vspace{1mm}
+
+$
+\begin{array}{lll}
+ \mbox{Working alphabet} & \verb=\wa= & \wa \\
+ \mbox{Input alphabet} & \verb=\ia= & \ia \\
+ \mbox{Labels set} & \verb=\ls= & \ls \\
+ \mbox{Membrane structure} & \verb=\ms= & \ms \\
+ \mbox{Initial multiset} & \verb=\im{i}= & \im{i} \\
+ \mbox{Rule set} & \verb=\rs{i}= & \rs{i} \\
+ \mbox{Probabilities set} & \verb=\ps{i}= & \ps{i} \\
+ \mbox{vE} & \verb=\vE= & \vE \\
+ \mbox{Neuron} & \verb=\neuron{i}= & \neuron{i} \\
+ \mbox{Compartment} & \verb=\compartment{i}= & \compartment{i} \\
+ \mbox{Agent} & \verb=\agent{i}= & \agent{i} \\
+ \mbox{Degree} & \verb=\degree= & \degree \\
+ \mbox{Synapses} & \verb=\syn= & \syn \\
+ \mbox{Input region} & \verb=\iin= & \iin \\
+ \mbox{Output region} & \verb=\iout= & \iout \\
+ \mbox{Object yes} & \verb=\yes= & \yes \\
+ \mbox{Object no} & \verb=\no= & \no \\
+\end{array}
+$
+
+\subsection{Languages and computability theory}
+\label{sec:lang-comp-theory}
+
+$
+\begin{array}{lll}
+ \mbox{Regular language} & \verb=\REG= & \REG \\
+ \mbox{Linear language} & \verb=\LIN= & \LIN \\
+ \mbox{Context-free language} & \verb=\CF= & \CF \\
+ \mbox{Context-sensitive language} & \verb=\CS= & \CS \\
+ \mbox{Recursively enumerable language} & \verb=\RE= & \RE \\
+\end{array}
+$
+
+To define a new set of languages, it is enough to make a new command
+as follows:
+
+\begin{verbatim}
+\newcommand{\L}{\compSet{L}}
+\end{verbatim}
+
+This results in: $\compSet{L}$.
+
+\subsection{Families of membrane systems}
+\label{sec:famil-membr-syst}
+
+Since the number of ``ingredients'' of the different variants of P
+systems is sometimes high, then some notations can be used to short
+them whenever they must be used. For instance, polarizationless P
+systems with active membranes when dissolution rules and division
+rules only for elementary membranes are allowed is usually denoted as
+$\AMO{-d, +ne}$. To denote this, it is enough to write
+\verb=\AM0{d, +ne}=. In this package, some examples of different
+families of P systems are defined.
+
+$
+\begin{array}{lll}
+ \mbox{Ps with am} & \verb=\AM[\alpha]{\beta}= & \AM[\alpha]{\beta} \\
+ \mbox{Polarizationless Ps with am} & \verb=\AMO{\alpha}= & \AMO{\alpha} \\
+ \mbox{Tissue Ps with s/a rules} & \verb=\TC[\alpha]{\beta}= & \TC[\alpha]{\beta} \\
+ \mbox{Tissue Ps with s/a and division rules} & \verb=\TDC{\alpha}= & \TDC{\alpha} \\
+ \mbox{Tissue Ps with s/a and separation rules} & \verb=\TSC{\alpha}= & \TSC{\alpha} \\
+ \mbox{Ps with s/a rules} & \verb=\CC[\alpha]{\beta}= & \CC[\alpha]{\beta} \\
+ \mbox{Ps with s/a and division rules} & \verb=\CDC{\alpha}= & \CDC{\alpha} \\
+ \mbox{Ps with s/a and separation rules} & \verb=\CSC{\alpha}= & \CSC{\alpha} \\
+ \mbox{Tissue Ps with evol. comm. rules} & \verb=\TEC[\alpha]{\beta}= & \TEC[\alpha]{\beta} \\
+ \mbox{Tissue Ps with evol. comm. and division rules} & \verb=\TDEC{\alpha}= & \TDEC{\alpha} \\
+ \mbox{Tissue Ps with evol. comm. and separation rules} & \verb=\TSEC{\alpha}= & \TSEC{\alpha} \\
+ \mbox{Ps with evol. comm. rules} & \verb=\CEC[\alpha]{\beta}= & \CEC[\alpha]{\beta} \\
+ \mbox{Ps with evol. comm. and division rules} & \verb=\CDEC{\alpha}= & \CDEC{\alpha} \\
+ \mbox{Ps with evol. comm. and separation rules} & \verb=\CSEC{\alpha}= & \CSEC{\alpha}
+\end{array}
+$
+
+To define a new notation for a family of membrane systems, it is
+enough to make a new command as follows:
+
+\begin{verbatim}
+\newcommand{\MS}[3]{\Pfamily{MS}{#1}{#2}{#3}}
+\end{verbatim}
+
+This results in: $\Pfamily{MS}{\#2}{\#3}{\#4}$.
+
+\subsection{Computational complexity theory}
+\label{sec:comp-compl-theory}
+
+It is usual to define different complexity classes in the framework
+of membrane computing. In this sense, it would be interesting to
+automate the definition of these classes to avoid using all \LaTeX
+commands each time we want to use them.
+
+$
+\begin{array}{lll}
+ \mbox{} & \verb=\PMC[\alpha]{\beta}= & \PMC[\alpha]{\beta} \\
+ \mbox{} & \verb=\PSPACEMC[\alpha]{\beta}= & \PSPACEMC[\alpha]{\beta} \\
+ \mbox{} & \verb=\EXPMC[\alpha]{\beta}= & \EXPMC[\alpha]{\beta} \\
+ \mbox{} & \verb=\EXPSPACEMC[\alpha]{\beta}= & \EXPSPACEMC[\alpha]{\beta} \\
+\end{array}
+$
+
+To define a new notation for a complexity class in membrane systems, it is
+enough to make a new command as follows:
+
+\begin{verbatim}
+\newcommand{\C}[3]{\complClass{C}{#1}{#2}}
+\end{verbatim}
+
+This results in: $\complClass{C}{\#1}{\#2}$~\footnote{CMC does not
+ stand for Conference on Membrane Computing here.}.
+
+\subsection{P systems}
+\label{sec:p-systems}
+
+One of the two main contributions of this package is to make easier to
+name a P system. Usually, when we have to define a new membrane
+system, we have to write something like
+
+\begin{verbatim}
+\Pi = (\Gamma, \mu, H, \mathcal{M}_1, \mathcal{M}_{2}, \mathcal{R}, i_{out})
+\end{verbatim}
+
+For making this task easier, the command \verb=psystem= has been
+defined. Basically, it takes 5 arguments (first is optional) and can
+be used as follows: \verb=\psystem[#1]{#2}{#3}{#4}{#5}=, where
+
+\begin{enumerate}[label=\texttt{\#\arabic*}]
+\item $\in \{\mathtt{recognizer}, \mathtt{nonrecognizer}\}$: adds an
+ input alphabet and an input region.
+\item $\in \{\mathtt{cell}, \mathtt{tissue}\}$: adds a membrane
+ structure in the first case.
+\item
+ $\in \{\mathtt{transition}, \mathtt{activemembranes},
+ \mathtt{symportantiport}, \mathtt{spiking}, \mathtt{kernel},
+ \mathtt{colony}\}$: changes some of the parameters of the P system.
+\item is a subscript for the symbol $\Pi$.
+\item $> 1$ is the degree of the system.
+\end{enumerate}
+
+For instance, the command
+\begin{verbatim}
+\psystem[recognizer]{cell}{activemembranes}{1}{10}
+\end{verbatim}
+would lead to the following:
+
+\begin{center}
+ \psystem[recognizer]{cell}{activemembranes}{1}{10}
+\end{center}
+
+Some templates have been prepared for most of the usual variants of P
+systems:
+
+$
+\begin{array}{ll}
+ \verb=\psystemAM= & \psystemAM \\
+ \verb=\rpsystemAM= & \rpsystemAM \\
+ \verb=\psystemSA= & \psystemSA \\
+ \verb=\rpsystemSA= & \rpsystemSA \\
+ \verb=\SNpsystem= & \SNpsystem \\
+ \verb=\rSNpsystem= & \rSNpsystem \\
+ \verb=\kpsystem= & \kpsystem \\
+ \verb=\rkpsystem= & \rkpsystem \\
+ \verb=\pcolony= & \pcolony \\
+ \verb=\rpcolony= & \rpcolony \\
+\end{array}
+$
+
+All commands preceded by a \verb=r= are the recognizer version of
+their r-less counterpart.
+
+\subsection{Rules}
+\label{sec:rules}
+
+The (current) big work of this paper is to normalise the notation of
+the rules of P systems. Several differences can be found in the
+literature, most of them about spacing, position of elements, and so
+on. The idea is to unify these notations in one big element: the
+\verb=\mcrule= command. This command tries to cover all types of rules
+in the membrane computing framework, including esoteric rules that
+could arise. The idea is to catch some basic elements and parse them
+in order to obtain the whole rule. As some types of P systems use
+different notations, as arrows, separators and so on, different cases
+have being contemplated. The definition of this command is
+\verb=\mcrule[#1]{#2}{#3}{#4}{#5}{#6}=, where:
+
+\begin{enumerate}[label=\texttt{\#\arabic*}]
+\item $\in \{\mathtt{written} (\mathit{Default}), \mathtt{plingua}\}$: the first one
+ makes it look as the usual scientific notation while the second one
+ transforms the rule into P-Lingua notation.
+\item It can be one of the following parameters:
+
+ $
+ \begin{array}{lll}
+ \mathtt{rewriting} & \mbox{Classical rewriting rules} & \rewritingT \\
+ \mathtt{single} & \mbox{Rules with a single pair of brackets} & \pevolutionT \\
+ \mathtt{multiple} & \mbox{Rules with different brackets in the LHS and the RHS} & \psendoutT \\
+ \mathtt{paren} & \mbox{Rules delimited by parentheses} & \antiportT \\
+ \mathtt{spike} & \mbox{Spiking rules} & \spikingT
+ \end{array}
+$
+\item $> 1$: Number of regions in the LHS (the main region and the outside regions are counted as one)
+\item $> 1$: Number of regions in the RHS (the main region and the outside regions are counted as one)
+\item explained below
+\item explained below
+\end{enumerate}
+
+The \verb=\mcrule= command is a tool capable of representing a wide
+variety of types of rule. The idea is to represent all the rules in a
+standardised way and well-spaced. An example with each type of rule is
+given:
+
+\begin{itemize}
+\item $\mathtt{rewriting}$: \verb=\mcrule{rewriting}{}{}{u}{v}= will
+ produce $\mcrule{rewriting}{}{}{u}{v}$.
+\item $\mathtt{single}$:
+ \verb=\mcrule{single}{}{}{{a}{h}{+}}{{c_{2}\alpha}}= will produce
+ $\mcrule{single}{}{}{{a}{h}{+}}{c_{2}\alpha}$.
+\item $\mathtt{multiple}$:\newline
+ \verb=\mcrule{multiple}{4}{4}{{{a}{3}{+}}{{b}}{{e_{1}}{4}}{;}}=\newline
+ \verb={{}{{a}}{-}{{o}{!}}}= will produce\newline
+ $\mcrule{multiple}{4}{4}{{{a}{3}{+}}{{b}}{{e_{1}}{4}}{;}}{{}{{a}}{-}{{o}{!}}}$. I
+ will explain in detail what means each thing:
+ \begin{itemize}
+ \item \verb={4}{4}=: In the left-hand side of the rule, 4
+ ``regions'' will be analysed (in this case, membrane $3$, its
+ parent membrane, membrane $4$ and a special symbol); In the
+ right-hand side of the rule, 4 ``regions'' will be analysed (in
+ this case, the empty ``main'' membrane, its parent membrane, a
+ special symbol and a special region)~\footnote{It is a very
+ strange rule, but it will be useful to explain some special
+ cases to use in your own rules.}.
+ \item \verb={{{a}{3}{+}}{{b}}{{e_{1}}{4}}{;}}=: It is divided into
+ four parts:
+ \begin{itemize}
+ \item \verb={{a}{3}{+}}=: The ``main'' membrane of the rule has
+ label $3$ and polarisation $+$, and its contents is an object
+ $a$.
+ \item \verb={{b}}=: The outer content of the ``main'' membrane is
+ an object $b$.
+ \item \verb={{e_{1}}{4}}=: It has a inner membrane with label $4$
+ and its contents is an object $e_{1}$.
+ \item \verb={;}=: It writes down a $;$ symbol~\footnote{Useful for
+ creation/deletion rules in kP systems.}.
+ \end{itemize}
+ \item \verb={{}{{a}}{-}{{o}{!}}}=: It is divided into four
+ parts:
+ \begin{itemize}
+ \item \verb={}=: The ``main'' membrane of the rule is not
+ specified, so it is omitted~\footnote{Useful for dissolution
+ rules.}.
+ \item \verb={{a}}=: The outer content of the ``main'' membrane is
+ an object $a$.
+ \item \verb=-= It writes down a $-$ symbol~\footnote{Also useful
+ for creation/deletion rules in kP systems.}.
+ \item \verb={{o}{!}}=: The symbol $!$ in the label is a reserved
+ character to write down a guard $\{ o \}$~\footnote{Also used in
+ kP systems.}.
+ \end{itemize}
+ \end{itemize}
+\item $\mathtt{paren}$: \verb=\mcrule{paren}{}{}{{ab}{3}}{{c}{2}}=
+ will produce $\mcrule{paren}{}{}{{ab}{3}}{{c}{2}}$.
+\item $\mathtt{spike}$:
+ \verb=\mcrule{spike}{}{}{{a^{3}}{a^{2}}}{{a}{1}}= will produce
+ $\mcrule{spike}{}{}{{a^{3}}{a^{2}}}{{a}{1}}$.
+\end{itemize}
+
+Using $\mathtt{plingua}$ instead of
+$\mathtt{written}$ as the optional parameter, it will write the rule
+in the P-Lingua syntax. Therefore, the $\mathtt{multiple}$ rule
+previously used in this section would render as\newline
+$\mcrule[plingua]{multiple}{4}{4}{{{a}{3}{+}}{{b}}{{e_{1}}{4}}{;}}{{}{{a}}{-}{{o}{!}}}$.
+
+With this, anyone can create almost any kind of rule that one could
+think~\footnote{Do you have any idea about other kind of rule? Please
+ write me so I can think in a way to implement it.}. However, for the
+sake of simplicity, I have defined some commands for the basic types
+of rules from the bibliography.
+
+{\footnotesize
+\begin{longtable}{ll}
+ \verb=\rewriting{u}{v}= & $\rewriting{u}{v}$ \\
+ \verb=\rewritingT= & $\rewritingT$ \\
+ \verb=\evolution{a}{b}{h}{\alpha}= & $\evolution{a}{b}{h}{\alpha}$ \\
+ \verb=\evolutionT= & $\evolutionT$ \\
+ \verb=\evolutionP{a}{b}{h}{\alpha}= & $\evolutionP{a}{b}{h}{\alpha}$ \\
+ \verb=\evolutionPT= & $\evolutionPT$ \\
+ \verb=\pevolution{a}{b}{h}= & $\pevolution{a}{b}{h}$ \\
+ \verb=\pevolutionT= & $\pevolutionT$ \\
+ \verb=\pevolutionP{a}{b}{h}= & $\pevolutionP{a}{b}{h}$ \\
+ \verb=\pevolutionPT= & $\pevolutionPT$ \\
+ \verb=\antiport{u}{i}{v}{j}= & $\antiport{u}{i}{v}{j}$ \\
+ \verb=\antiportT= & $\antiportT$ \\
+ \verb=\symportT= & $\symportT$ \\
+ \verb=\antiportP{u}{i}{v}{j}= & $\antiportP{u}{i}{v}{j}$ \\
+ \verb=\antiportPT= & $\antiportPT$ \\
+ \verb=\symportPT= & $\symportPT$ \\
+ \verb=\sendin{a}{b}{h}{\alpha_{1}}{\alpha_{2}}= & $\sendin{a}{b}{h}{\alpha_{1}}{\alpha_{2}}$ \\
+ \verb=\sendinT= & $\sendinT$ \\
+ \verb=\sendinP{a}{b}{h}{\alpha_{1}}{\alpha_{2}}= & $\sendinP{a}{b}{h}{\alpha_{1}}{\alpha_{2}}$ \\
+ \verb=\sendinPT= & $\sendinPT$ \\
+ \verb=\psendin{a}{b}{h}= & $\psendin{a}{b}{h}$ \\
+ \verb=\psendinT= & $\psendinT$ \\
+ \verb=\psendinP{a}{b}{h}= & $\psendinP{a}{b}{h}$ \\
+ \verb=\psendinPT= & $\psendinPT$ \\
+ \verb=\sendout{a}{b}{h}{\alpha_{1}}{\alpha_{2}}= & $\sendout{a}{b}{h}{\alpha_{1}}{\alpha_{2}}$ \\
+ \verb=\sendoutT= & $\sendoutT$ \\
+ \verb=\sendoutP{a}{b}{h}{\alpha_{1}}{\alpha_{2}}= & $\sendoutP{a}{b}{h}{\alpha_{1}}{\alpha_{2}}$ \\
+ \verb=\sendoutPT= & $\sendoutPT$ \\
+ \verb=\psendout{a}{b}{h}= & $\psendout{a}{b}{h}$ \\
+ \verb=\psendoutT= & $\psendoutT$ \\
+ \verb=\psendoutP{a}{b}{h}= & $\psendoutP{a}{b}{h}$ \\
+ \verb=\psendoutPT= & $\psendoutPT$ \\
+ \verb=\dissolution{a}{b}{h}{\alpha}= & $\dissolution{a}{b}{h}{\alpha}$ \\
+ \verb=\dissolutionT= & $\dissolutionT$ \\
+ \verb=\dissolutionP{a}{b}{h}{\alpha}= & $\dissolutionP{a}{b}{h}{\alpha}$ \\
+ \verb=\dissolutionPT= & $\dissolutionPT$ \\
+ \verb=\pdissolution{a}{b}{h}= & $\pdissolution{a}{b}{h}$ \\
+ \verb=\pdissolutionT= & $\pdissolutionT$ \\
+ \verb=\pdissolutionP{a}{b}{h}= & $\pdissolutionP{a}{b}{h}$ \\
+ \verb=\pdissolutionPT= & $\pdissolutionPT$ \\
+ \verb=\division{a}{b}{c}{h}{\alpha}{\alpha_{1}}{\alpha_{2}}= & $\division{a}{b}{c}{h}{\alpha}{\alpha_{1}}{\alpha_{2}}$ \\
+ \verb=\divisionT= & $\divisionT$ \\
+ \verb=\divisionP{a}{b}{c}{h}{\alpha}{\alpha_{1}}{\alpha_{2}}= & $\divisionP{a}{b}{c}{h}{\alpha}{\alpha_{1}}{\alpha_{2}}$ \\
+ \verb=\divisionPT= & $\divisionPT$ \\
+ \verb=\pdivision{a}{b}{c}{h}= & $\pdivision{a}{b}{c}{h}$ \\
+ \verb=\pdivisionT= & $\pdivisionT$ \\
+ \verb=\pdivisionP{a}{b}{c}{h}= & $\pdivisionP{a}{b}{c}{h}$ \\
+ \verb=\pdivisionPT= & $\pdivisionPT$ \\
+ \verb=\separation{a}{h}{\alpha}{\alpha_{1}}{\alpha_{2}}= & $\separation{a}{h}{\alpha}{\alpha_{1}}{\alpha_{2}}$ \\
+ \verb=\separationT= & $\separationT$ \\
+ \verb=\separationP{a}{h}{\alpha}{\alpha_{1}}{\alpha_{2}}= & $\separationP{a}{h}{\alpha}{\alpha_{1}}{\alpha_{2}}$ \\
+ \verb=\separationPT= & $\separationPT$ \\
+ \verb=\pseparation{a}{h}= & $\pseparation{a}{h}$ \\
+ \verb=\pseparationT= & $\pseparationT$ \\
+ \verb=\pseparationP{a}{h}= & $\pseparationP{a}{h}$ \\
+ \verb=\pseparationPT= & $\pseparationPT$ \\
+ \verb=\creation{a}{b}{c}{h}{h_{1}}{\alpha}{\alpha_{1}}{\alpha_{2}}= & $\creation{a}{b}{c}{h}{h_{1}}{\alpha}{\alpha_{1}}{\alpha_{2}}$ \\
+ \verb=\creationT= & $\creationT$ \\
+ \verb=\creationP{a}{b}{c}{h}{h_{1}}{\alpha}{\alpha_{1}}{\alpha_{2}}= & $\creationP{a}{b}{c}{h}{h_{1}}{\alpha}{\alpha_{1}}{\alpha_{2}}$ \\
+ \verb=\creationPT= & $\creationPT$ \\
+ \verb=\pcreation{a}{b}{c}{h}{h_{1}}= & $\pcreation{a}{b}{c}{h}{h_{1}}$ \\
+ \verb=\pcreationT= & $\pcreationT$ \\
+ \verb=\pcreationP{a}{b}{c}{h}{h_{1}}= & $\pcreationP{a}{b}{c}{h}{h_{1}}$ \\
+ \verb=\pcreationPT= & $\pcreationPT$ \\
+ \verb=\spiking{E}{a^{n}}{a}{d}= & $\spiking{E}{a^{n}}{a}{d}$ \\
+ \verb=\spikingT= & $\spikingT$ \\
+ \verb=\forgettingT= & $\forgettingT$ \\
+ \verb=\spikingP{E}{a^{n}}{a}{d}= & $\spikingP{E}{a^{n}}{a}{d}$ \\
+ \verb=\spikingPT= & $\spikingPT$ \\
+ \verb=\forgettingPT= & $\forgettingPT$ \\
+ \verb=\krewriting{x}{y}{g}= & $\krewriting{x}{y}{g}$ \\
+ \verb=\krewritingT= & $\krewritingT$ \\
+ \verb=\krewritingP{x}{y}{g}= & $\krewritingP{x}{y}{g}$ \\
+ \verb=\krewritingPT= & $\krewritingPT$ \\
+ \verb=\linkcreation{x}{y}{t_{l_{i}}}{t_{l_{j}}}{g}= & $\linkcreation{x}{y}{t_{l_{i}}}{t_{l_{j}}}{g}$ \\
+ \verb=\linkcreationT= & $\linkcreationT$ \\
+ \verb=\linkcreationP{x}{y}{t_{l_{i}}}{t_{l_{j}}}{g}= & $\linkcreationP{x}{y}{t_{l_{i}}}{t_{l_{j}}}{g}$ \\
+ \verb=\linkcreationPT= & $\linkcreationPT$ \\
+ \verb=\linkdestruction{x}{y}{t_{l_{i}}}{t_{l_{j}}}{g}= & $\linkdestruction{x}{y}{t_{l_{i}}}{t_{l_{j}}}{g}$ \\
+ \verb=\linkdestructionT= & $\linkdestructionT$ \\
+ \verb=\linkdestructionP{x}{y}{t_{l_{i}}}{t_{l_{j}}}{g}= & $\linkdestructionP{x}{y}{t_{l_{i}}}{t_{l_{j}}}{g}$ \\
+ \verb=\linkdestructionPT= & $\linkdestructionPT$
+\end{longtable}
+}
+
+As you can see, the names follow a pattern:
+
+\begin{itemize}
+\item Their name is descriptive in terms of the rule it represents.
+\item If the rule starts with a \texttt{p}, it means that it is a
+ polarizationless rule.
+\item If the rule ends with (or its second to last letter is) a
+ \texttt{P}, it means it will write the rule in P-Lingua format.
+\item If the rule ends with a \texttt{T}, it means it is a rule
+ template; that is, the typical rule used to describe its behaviour.
+\end{itemize}
+
+If you have an idea to make the notation simpler, please let me know.
+
+\section{Future work}
+\label{sec:future-work}
+
+A TODO list for the future development of the package. Please do not
+hesitate to contact me if you think that something should be included
+in this list, or if there is any bug or concept that should be
+included as soon as possible. Please, contact me at
+\href{mailto:dorellana@us.es}{dorellana@us.es}
+
+\begin{itemize}
+\item Add new variants of P systems, as well as some new templates for
+ other rules.
+\item Clean the code and create new command for analysing the
+ \texttt{multiple} case automatically.
+\item Add the possibility of define rules with more than one level of
+ deepness.
+\item Add a automatic parsing of a membrane structure, so a
+ well-spaced structure can appear in a paper. It would be interesting
+ to also let it export a string in the P-Lingua format.
+\item A long-term objective is to export a .pdf with the picture of a
+ P system with its contents. Creating an image for your paper could
+ be as simple as defining it as you usually do, it would be cool, right?
+\end{itemize}
+
+I hope you find the package interesting and useful for your
+purposes. And, as I said above, please do not hesitate to contact me
+if you have any questions of or suggestions for it.
+
+\end{document}
diff --git a/Master/texmf-dist/tex/latex/membranecomputing/membranecomputing.sty b/Master/texmf-dist/tex/latex/membranecomputing/membranecomputing.sty
new file mode 100644
index 00000000000..bb513168d53
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/membranecomputing/membranecomputing.sty
@@ -0,0 +1,599 @@
+%%
+%% Copyright 2020 David Orellana Martín
+%
+% This work may be distributed and/or modified under the
+% conditions of the LaTeX Project Public License, either version 1.3
+% of this license or (at your option) any later version.
+% The latest version of this license is in
+% http://www.latex-project.org/lppl.txt
+% and version 1.3 or later is part of all distributions of LaTeX
+% version 2005/12/01 or later.
+%
+% This work has the LPPL maintenance status `maintained'.
+%
+% The Current Maintainer of this work is David Orellana Martín
+%
+% This work consists of the file membranecomputing.sty.
+
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{membranecomputing}[2020/07/23 Membrane Computing v0.1]
+
+% Require Packages
+
+\RequirePackage{ifthen}
+\RequirePackage{xstring}
+
+% Declare options
+
+\newboolean{membranecomputing@blackboard}
+\setboolean{membranecomputing@blackboard}{false}
+\DeclareOption{blackboard}{
+ \setboolean{membranecomputing@blackboard}{true}
+}
+\DeclareOption{traditional}{
+ \setboolean{membranecomputing@blackboard}{false}
+}
+\ProcessOptions\relax
+
+% Declare counters
+\newcounter{membranecomputing@membrane}
+\newcounter{membranecomputing@imembrane}
+\newcounter{membranecomputing@element}
+
+% Declare auxiliary commands
+
+\newcommand{\membranecomputing@iden}[1]{#1}
+\newcommand{\lhsC}{}
+\newcommand{\rhsC}{}
+\newcommand{\lhsL}{}
+\newcommand{\rhsL}{}
+\newcommand{\lhsP}{}
+\newcommand{\rhsP}{}
+\newcommand{\lhsIC}{}
+\newcommand{\rhsIC}{}
+\newcommand{\lhsIL}{}
+\newcommand{\rhsIL}{}
+\newcommand{\lhsIP}{}
+\newcommand{\rhsIP}{}
+\newcommand{\lhsOC}{}
+\newcommand{\rhsOC}{}
+\newcommand{\lhsE}{}
+\newcommand{\lhsS}{}
+\newcommand{\rhsS}{}
+\newcommand{\rhsD}{}
+
+\newcommand{\arrow}{}
+\newcommand{\labelSub}{}
+\newcommand{\labelSubL}{}
+\newcommand{\labelSubR}{}
+\newcommand{\polW}{}
+\newcommand{\polP}{}
+\newcommand{\polWL}{}
+\newcommand{\polPL}{}
+\newcommand{\polWR}{}
+\newcommand{\polPR}{}
+\newcommand{\formattedRule}{}
+
+\exploregroups \expandarg
+
+\newcommand{\formatRule}[4]{
+ \renewcommand{\arrow}{\ensuremath{\IfStrEq{#1}{written}{\rightarrow}{\, --> \,}}}
+ \IfStrEqCase{#2}
+ {% BEGIN CASES
+ {rewriting}
+ {%BEGIN IF REWRITING
+ \renewcommand{\formattedRule}{#3 \arrow #4}
+ }% END IF REWRITING
+ {single}
+ {% BEGIN IF SINGLE
+ \renewcommand{\formattedRule}{#3 \arrow #4}
+ }% END IF SINGLE
+ {multiple}
+ {% BEGIN IF MULTIPLE
+ \renewcommand{\formattedRule}{#3 \arrow #4}
+ }% END IF MULTIPLE
+ {paren}
+ {% BEGIN IF PAREN
+ \renewcommand{\formattedRule}{#3 / #4}
+ }% END IF PAREN
+ }% END CASES
+ \ensuremath{\IfStrEq{#1}{written}{\formattedRule}{\mathtt{\formattedRule}}}
+}
+
+% Commands that depend on the kind of letters
+\ifthenelse{\boolean{membranecomputing@blackboard}}{ %
+ \newcommand{\workingalphabet}{\ensuremath{O}}
+ \newcommand{\inputalphabet}{\ensuremath{E}}
+ \newcommand{\initmultiset}[1]{\ensuremath{w_{#1}}}
+ \newcommand{\ruleset}[1]{\ensuremath{R_{#1}}}
+ \newcommand{\probabilitiesset}[1]{\ensuremath{p_{#1}}}
+}{
+ \newcommand{\workingalphabetspiking}{\ensuremath{O}}
+ \newcommand{\workingalphabet}{\ensuremath{\Gamma}}
+ \newcommand{\inputalphabet}{\ensuremath{\Sigma}}
+ \newcommand{\initmultiset}[1]{\ensuremath{\mathcal{M}_{#1}}}
+ \newcommand{\ruleset}[1]{\ensuremath{\mathcal{R}_{#1}}}
+ \newcommand{\probabilitiesset}[1]{\ensuremath{\rho_{#1}}}
+}
+
+% Commands that do not depend on the kind of letters
+\newcommand{\labelset}{\ensuremath{H}}
+\newcommand{\membranestructure}{\ensuremath{\mu}}
+\newcommand{\neuron}[1]{\ensuremath{\sigma_{#1}}}
+\newcommand{\compartment}[1]{\ensuremath{C_{#1}}}
+\newcommand{\agent}[1]{\ensuremath{B_{#1}}}
+\newcommand{\iin}{\ensuremath{i_{in}}}
+\newcommand{\iout}{\ensuremath{i_{out}}}
+\newcommand{\degree}{\ensuremath{q}}
+\newcommand{\syn}{\ensuremath{syn}}
+\newcommand{\yes}{\ensuremath{\mathtt{yes}}}
+\newcommand{\no}{\ensuremath{\mathtt{no}}}
+\newcommand{\initEnvironment}{\ensuremath{v_{E}}}
+
+% Shortcuts
+\newcommand{\wa}{\workingalphabet}
+\newcommand{\ia}{\inputalphabet}
+\newcommand{\ls}{\labelset}
+\newcommand{\ms}{\membranestructure}
+\newcommand{\im}{\initmultiset}
+\newcommand{\rs}{\ruleset}
+\newcommand{\ps}{\probabilitiesset}
+\newcommand{\vE}{\initEnvironment}
+
+\newcommand{\psystem}[5][nonrecognizer]
+{% BEGIN COMMAND PSYSTEM
+ \IfEqCase{#3}
+ {% BEGIN CASES
+ {transition}
+ {% BEGIN IF TRANSITION
+ \ensuremath{\Pi_{#4} = \left(\wa, \ifthenelse{\equal{#1}{recognizer}}{\Sigma, }{} \ifthenelse{\equal{#2}{cell}}{\ms, }{} \im{1}, \dots, \im{\ifthenelse{\equal{#5}{}}{\degree}{#5}}, (\rs{1}, \ps{1}), \dots, (\rs{\ifthenelse{\equal{#5}{}}{\degree}{#5}}, \ps{\ifthenelse{\equal{#5}{}}{\degree}{#5}}), \ifthenelse{\equal{#1}{recognizer}}{\iin, }{} \iout \right)}
+ }% END IF TRANSITION
+ {activemembranes}
+ {% BEGIN IF ACTIVEMEMBRANES
+ \ensuremath{\Pi_{#4} = \left(\wa, \ifthenelse{\equal{#1}{recognizer}}{\Sigma, }{} \ifthenelse{\equal{#2}{cell}}{\ms, }{} \im{1}, \dots, \im{\ifthenelse{\equal{#5}{}}{\degree}{#5}}, \rs{1}, \dots, \rs{\ifthenelse{\equal{#5}{}}{\degree}{#5}}, \ifthenelse{\equal{#1}{recognizer}}{\iin, }{} \iout \right)}
+ }% END IF ACTIVEMEMBRANES
+ {symportantiport}
+ {% BEGIN IF SYMPORTANTIPORT
+ \ensuremath{\Pi_{#4} = \left(\wa, \ifthenelse{\equal{#1}{recognizer}}{\Sigma, }{} \mathcal{E}, \ifthenelse{\equal{#2}{cell}}{\ms, }{} \im{1}, \dots, \im{\ifthenelse{\equal{#5}{}}{\degree}{#5}}, \ifthenelse{\equal{#2}{cell}}{\rs{1}, \dots, \rs{\ifthenelse{\equal{#5}{}}{\degree}{#5}}}{\rs}, \ifthenelse{\equal{#1}{recognizer}}{\iin, }{} \iout \right)}
+ }% END IF SYMPORTANTIPORT
+ {spiking}
+ {% BEGIN IF SPIKING
+ \ensuremath{\Pi_{#4} = \left(\ifthenelse{\boolean{membranecomputing@blackboard}}{\wa}{\workingalphabetspiking}, \neuron{1}, \dots, \neuron{\ifthenelse{\equal{#5}{}}{\degree}{#5}}, \syn, \ifthenelse{\equal{#1}{recognizer}}{\iin, }{} \iout \right)}
+ }% END IF SPIKING
+ {kernel}
+ {% BEGIN IF KERNEL
+ \ensuremath{k\Pi_{#4} = \left(\wa, \ifthenelse{\equal{#2}{cell}}{\ms, }{} \compartment{1}, \dots, \compartment{\ifthenelse{\equal{#5}{}}{\degree}{#5}}, \ifthenelse{\equal{#1}{recognizer}}{\iin, }{} \iout \right)}
+ }% END IF KERNEL
+ {colony}
+ {% BEGIN IF COLONY
+ \ensuremath{\Pi_{#4} = \left(\wa, \ifthenelse{\equal{#1}{recognizer}}{\Sigma, }{} e, f, \vE, \agent{1}, \dots, \agent{\ifthenelse{\equal{#5}{}}{\degree}{#5}}, \ifthenelse{\equal{#1}{recognizer}}{\iin, }{}\right)}
+ }% END IF COLONY
+ }% END CASES
+ [\PackageError{psystem}{Undefined option to psystem: #3}]
+}% END COMMAND PSYSTEM
+
+\newcommand{\wrule}[5][multiple]{\mcrule[written]{#1}{#2}{#3}{#4}{#5}}
+\newcommand{\prule}[5][multiple]{\mcrule[plingua]{#1}{#2}{#3}{#4}{#5}}
+
+\newcommand{\mcrule}[6][written]
+{% BEGIN COMMAND RULE
+ \IfEqCase{#2}
+ {% BEGIN CASES TYPE
+ {rewriting}
+ {% BEGIN IF REWRITING
+ \renewcommand{\lhsC}{}
+ \renewcommand{\rhsC}{}
+ \formatRule{#1}{#2}{#5}{#6}
+ }% END IF REWRITING
+ {single}
+ {% BEGIN IF SINGLE
+ \renewcommand{\lhsC}{}
+ \renewcommand{\rhsC}{}
+ \renewcommand{\lhsL}{}
+ \renewcommand{\rhsL}{}
+ \renewcommand{\lhsP}{}
+ \renewcommand{\rhsP}{}
+ \StrFindGroup{#5}{1}[\lhsC]
+ \StrFindGroup{#6}{1}[\rhsC]
+ \StrFindGroup{#5}{2}[\lhsL]
+ \StrFindGroup{#5}{3}[\lhsP]
+ \renewcommand{\polW}{\ensuremath{\IfStrEq{#1}{written}{^{\lhsP}}{}}}
+ \renewcommand{\polP}{\ensuremath{\IfStrEq{#1}{plingua}{\lhsP}{}}}
+ \renewcommand{\labelSub}{\ensuremath{\IfStrEq{#1}{written}{_{\lhsL}}{'\lhsL}}}
+ \formatRule{#1}{#2}{\ensuremath{\polP \left[ \, \lhsC}}{\ensuremath{\rhsC \, \right]\polW\labelSub}}
+ % \ensuremath{\left[ \, \lhsC \rightarrow \rhsC \, \right]^{\ifthenelse{\equal{\lhsP}{}} {\rhsP} {\lhsP} }_{\ifthenelse{\equal{\lhsL}{}} {\rhsL} {\lhsL} }}
+ }% END IF SINGLE
+ {multiple}
+ {% BEGIN IF MULTIPLE
+ % BEGIN LHS ANALYSIS
+ \renewcommand{\lhsIC}{}
+ \renewcommand{\lhsIL}{}
+ \renewcommand{\lhsIP}{}
+ \renewcommand{\lhsOC}{}
+ \setcounter{membranecomputing@membrane}{1}
+ \whiledo {\value{membranecomputing@membrane} < \numexpr#3+1\relax}
+ {% BEGIN FOR MEMBRANE
+ \StrFindGroup{#5}{\arabic{membranecomputing@membrane}}[\currentM]
+ \IfStrEq{\currentM}{{}}
+ {% BEGIN IF EMPTY GROUP
+ % EMPTY GROUP
+ }% END IF EMPTY GROUP
+ {% BEGIN ELSE EMPTY GROUP
+ \ifthenelse{\equal{\arabic{membranecomputing@membrane}}{1}}
+ {% BEGIN IF IN-MEMBRANE
+ \StrFindGroup{#5}{\arabic{membranecomputing@membrane},1}[\lhsIC]
+ \StrFindGroup{#5}{\arabic{membranecomputing@membrane},2}[\lhsIL]
+ \StrFindGroup{#5}{\arabic{membranecomputing@membrane},3}[\lhsIP]
+ \StrExpand[2]{\lhsIC}{\plhsIC}
+ \renewcommand{\lhsIC}{\expandafter\plhsIC\expandafter \,}
+ }% END IF IN-MEMBRANE
+ {% BEGIN ELSE IN-MEMBRANE
+ \ifthenelse{\equal{\arabic{membranecomputing@membrane}}{2}}
+ {% BEGIN IF OUT-MEMBRANE
+ \StrFindGroup{#5}{\arabic{membranecomputing@membrane},1}[\lhsOC]
+ }% END IF OUT-MEMBRANE
+ {% BEGIN ELSE OUT-MEMBRANE
+ \StrFindGroup{#5}{\arabic{membranecomputing@membrane}}[\currentMembrane]
+ \IfStrEqCase{\currentMembrane}
+ {% BEGIN CASES CURRENTMEMBRANE
+ {{.}}%
+ {% BEGIN IF ...
+ \StrExpand[2]{\lhsIC}{\plhsIC}%
+ \renewcommand{\lhsIC}{\ensuremath{\plhsIC \dots \,}}%
+ }% END IF ...
+ {{-}}%
+ {% BEGIN IF --
+ \StrExpand[2]{\lhsIC}{\plhsIC}%
+ \renewcommand{\lhsIC}{\ensuremath{\plhsIC - \,}}%
+ }% END IF --
+ {{;}}
+ {% BEGIN IF ;
+ \StrExpand[2]{\lhsIC}{\plhsIC}%
+ \renewcommand{\lhsIC}{\ensuremath{\plhsIC ; \,}}%
+ }% END IF ;
+ {\currentMembrane}
+ {% BEGIN IF OTHER
+ \StrFindGroup{#5}{\arabic{membranecomputing@membrane},1}[\lhsCC]%
+ \StrFindGroup{#5}{\arabic{membranecomputing@membrane},2}[\lhsCL]%
+ \StrFindGroup{#5}{\arabic{membranecomputing@membrane},3}[\lhsCP]%
+ \StrExpand[2]{\lhsIC}{\plhsIC}%
+ \StrExpand[2]{\lhsCC}{\plhsCC}%
+ \StrExpand[2]{\lhsCL}{\plhsCL}%
+ \StrExpand[2]{\lhsCP}{\plhsCP}%
+ \setcounter{membranecomputing@imembrane}{1}
+ \whiledo {\value{membranecomputing@imembrane} < 5}
+ {% BEGIN FOR IMEMBRANE
+ \stepcounter{membranecomputing@imembrane}
+ }% END FOR IMEMBRANE
+ \IfStrEq{\lhsCL}{{!}}%
+ {% BEGIN IF !
+ \renewcommand{\lhsIC}{\ensuremath{\plhsIC \{ \IfStrEq{\plhsCC}{}{\quad}{\, \plhsCC \, } \}}}
+ }% END IF !
+ {% BEGIN ELSE !
+ \renewcommand{\polW}{\ensuremath{\IfStrEq{#1}{written}{^{\plhsCP}}{}}}
+ \renewcommand{\polP}{\ensuremath{\IfStrEq{#1}{plingua}{\plhsCP}{}}}
+ \renewcommand{\labelSub}{\ensuremath{\IfStrEq{#1}{written}{_{\plhsCL}}{'\plhsCL}}}
+ \StrExpand[2]{\polW}{\ppolW}
+ \StrExpand[2]{\polP}{\ppolP}
+ \StrExpand[2]{\labelSub}{\plabelSub}
+ \renewcommand{\lhsIC}{\ensuremath{\plhsIC \ppolP[ \IfStrEq{\plhsCC}{}{\quad}{\, \plhsCC \, } ]\ppolW\plabelSub \,}}%
+ \StrExpand[2]{\lhsIC}{\plhsIC}%
+ \renewcommand{\lhsIC}{\plhsIC}%
+ }% END ELSE !
+ }% END IF OTHER
+ }% END CASES CURRENTMEMBRANE
+ }% END ELSE OUT-MEMBRANE
+ }% END ELSE IN-MEMBRANE
+ }% END ELSE EMPTY GROUP
+ \stepcounter{membranecomputing@membrane}
+ }% END FOR MEMBRANE
+ % END LHS ANALYSIS
+ % BEGIN RHS ANALYSIS
+ \renewcommand{\rhsIC}{}
+ \renewcommand{\rhsIL}{}
+ \renewcommand{\rhsIP}{}
+ \renewcommand{\rhsOC}{}
+ \setcounter{membranecomputing@membrane}{1}
+ \whiledo {\value{membranecomputing@membrane} < \numexpr#4+1\relax}
+ {% BEGIN FOR MEMBRANE
+ \StrFindGroup{#6}{\arabic{membranecomputing@membrane}}[\currentM]
+ \IfStrEq{\currentM}{{}}
+ {% BEGIN IF EMPTY GROUP
+ % EMPTY GROUP
+ }% END IF EMPTY GROUP
+ {% BEGIN ELSE EMPTY GROUP
+ \ifthenelse{\equal{\arabic{membranecomputing@membrane}}{1}}
+ {% BEGIN IF IN-MEMBRANE
+ \StrFindGroup{#6}{\arabic{membranecomputing@membrane},1}[\rhsIC]
+ \StrFindGroup{#6}{\arabic{membranecomputing@membrane},2}[\rhsIL]
+ \StrFindGroup{#6}{\arabic{membranecomputing@membrane},3}[\rhsIP]
+ \StrExpand[2]{\rhsIC}{\prhsIC}
+ \renewcommand{\rhsIC}{\expandafter\prhsIC\expandafter \,}
+ }% END IF IN-MEMBRANE
+ {% BEGIN ELSE IN-MEMBRANE
+ \ifthenelse{\equal{\arabic{membranecomputing@membrane}}{2}}
+ {% BEGIN IF OUT-MEMBRANE
+ \StrFindGroup{#6}{\arabic{membranecomputing@membrane},1}[\rhsOC]
+ % \ensuremath{}
+ }% END IF OUT-MEMBRANE
+ {% BEGIN ELSE OUT-MEMBRANE
+ \StrFindGroup{#6}{\arabic{membranecomputing@membrane}}[\currentMembrane]
+ \IfStrEqCase{\currentMembrane}
+ {% BEGIN CASES CURRENTMEMBRANE
+ {{.}}%
+ {% BEGIN IF ...
+ \StrExpand[2]{\rhsIC}{\prhsIC}%
+ \renewcommand{\rhsIC}{\ensuremath{\prhsIC \dots \,}}%
+ }% END IF ...
+ {{-}}%
+ {% BEGIN IF --
+ \StrExpand[2]{\rhsIC}{\prhsIC}%
+ \renewcommand{\rhsIC}{\ensuremath{\prhsIC - \,}}%
+ }% END IF --
+ {{;}}
+ {% BEGIN IF ;
+ \StrExpand[2]{\rhsIC}{\prhsIC}%
+ \renewcommand{\rhsIC}{\ensuremath{\prhsIC ; \,}}%
+ }% END IF ;
+ {\currentMembrane}
+ {% BEGIN IF OTHER
+ \StrFindGroup{#6}{\arabic{membranecomputing@membrane},1}[\rhsCC]%
+ \StrFindGroup{#6}{\arabic{membranecomputing@membrane},2}[\rhsCL]%
+ \StrFindGroup{#6}{\arabic{membranecomputing@membrane},3}[\rhsCP]%
+ \StrExpand[2]{\rhsIC}{\prhsIC}%
+ \StrExpand[2]{\rhsCC}{\prhsCC}%
+ \StrExpand[2]{\rhsCL}{\prhsCL}%
+ \StrExpand[2]{\rhsCP}{\prhsCP}%
+ \setcounter{membranecomputing@imembrane}{1}
+ \whiledo {\value{membranecomputing@imembrane} < 5}
+ {% BEGIN FOR IMEMBRANE
+ \stepcounter{membranecomputing@imembrane}
+ }% END FOR IMEMBRANE
+ \IfStrEq{\rhsCL}{{!}}%
+ {% BEGIN IF !
+ \renewcommand{\rhsIC}{\ensuremath{\prhsIC \{ \IfStrEq{\prhsCC}{}{\quad}{\, \prhsCC \, } \}}}%
+ }% END IF !
+ {% BEGIN ELSE !
+ \renewcommand{\polW}{\ensuremath{\IfStrEq{#1}{written}{^{\prhsCP}}{}}}
+ \renewcommand{\polP}{\ensuremath{\IfStrEq{#1}{plingua}{\prhsCP}{}}}
+ \renewcommand{\labelSub}{\ensuremath{\IfStrEq{#1}{written}{_{\prhsCL}}{'\prhsCL}}}
+ \StrExpand[2]{\polW}{\ppolW}
+ \StrExpand[2]{\polP}{\ppolP}
+ \StrExpand[2]{\labelSub}{\plabelSub}
+ \renewcommand{\rhsIC}{\ensuremath{\prhsIC \ppolP[ \IfStrEq{\prhsCC}{}{\quad}{\, \prhsCC \, } ]\ppolW\plabelSub \,}}%
+ \StrExpand[2]{\rhsIC}{\prhsIC}%
+ \renewcommand{\rhsIC}{\prhsIC}%
+ }% END ELSE !
+ }% END IF OTHER
+ }% END CASES CURRENTMEMBRANE
+ }% END ELSE OUT-MEMBRANE
+ }% END ELSE IN-MEMBRANE
+ }% END ELSE EMPTY GROUP
+ \stepcounter{membranecomputing@membrane}
+ }% END FOR MEMBRANE
+ % END RHS ANALYSIS
+ \StrFindGroup{#5}{1}[\lhsM]
+ \StrFindGroup{#6}{1}[\rhsM]
+ \renewcommand{\polWL}{\ensuremath{\IfStrEq{#1}{written}{^{\lhsIP}}{}}}
+ \renewcommand{\polPL}{\ensuremath{\IfStrEq{#1}{plingua}{\lhsIP}{}}}
+ \renewcommand{\labelSubL}{\ensuremath{\IfStrEq{#1}{written}{_{\lhsIL}}{'\lhsIL}}}
+ \renewcommand{\polWR}{\ensuremath{\IfStrEq{#1}{written}{^{\rhsIP}}{}}}
+ \renewcommand{\polPR}{\ensuremath{\IfStrEq{#1}{plingua}{\rhsIP}{}}}
+ \renewcommand{\labelSubR}{\ensuremath{\IfStrEq{#1}{written}{_{\rhsIL}}{'\rhsIL}}}
+ \formatRule{#1}{#2}{\ifthenelse{\equal{\lhsOC}{}}{}{\lhsOC \,} \IfStrEq{\lhsM}{{}}{}{\polPL\left[} \ifthenelse{\equal{\protect\lhsIC}{}}{\quad}{ \, \lhsIC } \IfStrEq{\lhsM}{{}}{}{\right]\polWL\labelSubL}}{\ifthenelse{\equal{\rhsOC}{}}{}{\rhsOC \,}
+ \IfStrEq{\rhsM}{{}}{}{\polPR\left[} \ifthenelse{\equal{\protect\rhsIC}{}}{\quad}{ \, \rhsIC } \IfStrEq{\rhsM}{{}}{}{\right]\polWR\labelSubR}}
+ % \ensuremath{\ifthenelse{\equal{\lhsOC}{}}{}{\lhsOC \,} \IfStrEq{\lhsM}{{}}{}{\left[} \ifthenelse{\equal{\protect\lhsIC}{}}{\quad}{ \, \lhsIC } \IfStrEq{\lhsM}{{}}{}{\right]^{\lhsIP}_{\lhsIL}} \rightarrow \ifthenelse{\equal{\rhsOC}{}}{}{\rhsOC \,}
+ % \IfStrEq{\rhsM}{{}}{}{\left[} \ifthenelse{\equal{\protect\rhsIC}{}}{\quad}{ \, \rhsIC } \IfStrEq{\rhsM}{{}}{}{\right]^{\rhsIP}_{\rhsIL}}}
+ }% END IF MULTIPLE
+ {paren}
+ {% BEGIN IF PAREN
+ \ifthenelse{\equal{#6}{}}
+ {% BEGIN IF ONE SIDE
+ \StrFindGroup{#5}{1}[\lhsC]
+ \StrFindGroup{#5}{2}[\lhsL]
+ \ensuremath{\left( \lhsC, \lhsL \right)}
+ }% END IF ONE SIDE
+ {% BEGIN ELSE ONE SIDE
+ \StrFindGroup{#5}{1}[\lhsC]
+ \StrFindGroup{#6}{1}[\rhsC]
+ \StrFindGroup{#5}{2}[\lhsL]
+ \StrFindGroup{#6}{2}[\rhsL]
+ \formatRule{#1}{#2}{\left( \lhsL, \lhsC}{\rhsC, \rhsL \right)}
+ % \ensuremath{\left( \lhsL, \lhsC / \rhsC, \rhsL \right)}
+ }% END ELSE ONE SIDE
+ }% END IF PAREN
+ {spike}
+ {% BEGIN IF SPIKE
+ \renewcommand{\lhsE}{}
+ \renewcommand{\lhsS}{}
+ \renewcommand{\rhsS}{}
+ \renewcommand{\rhsD}{}
+ \StrFindGroup{#5}{1}[\lhsE]
+ \StrFindGroup{#5}{2}[\lhsS]
+ \StrFindGroup{#6}{1}[\rhsS]
+ \StrFindGroup{#6}{2}[\rhsD]
+ \ensuremath{\ifthenelse{\equal{\lhsE}{{}}}{}{\lhsE /} \lhsS \rightarrow \rhsS \ifthenelse{\equal{\rhsD}{}}{}{; \rhsD}}
+ }% END IF SPIKE
+ }% END CASES TYPE
+ [\PackageError{rule}{Undefined option to rule: #2}]
+}% END COMMAND RULE
+
+% Templates for P systems
+
+\newcommand{\psystemAM}[1][nonrecognizer]{\psystem[#1]{cell}{activemembranes}{}{}}
+\newcommand{\rpsystemAM}{\psystemAM[recognizer]}
+\newcommand{\psystemSA}[1][nonrecognizer]{\psystem[#1]{tissue}{symportantiport}{}{}}
+\newcommand{\rpsystemSA}{\psystemSA[recognizer]}
+\newcommand{\SNpsystem}[1][nonrecognizer]{\psystem[#1]{tissue}{spiking}{}{}}
+\newcommand{\rSNpsystem}{\SNpsystem[recognizer]}
+\newcommand{\kpsystem}[1][nonrecognizer]{\psystem[#1]{cell}{kernel}{}{}}
+\newcommand{\rkpsystem}{\kpsystem[recognizer]}
+\newcommand{\pcolony}[1][nonrecognizer]{\psystem[#1]{tissue}{colony}{}{}}
+\newcommand{\rpcolony}{\pcolony[recognizer]}
+
+% Rule examples and templates
+
+\newcommand{\rewriting}[2]{\wrule[rewriting]{}{}{#1}{#2}}
+\newcommand{\rewritingT}{\rewriting{u}{v}}
+
+\newcommand{\evolution}[4]{\wrule[single]{}{}{{#1}{#3}{#4}}{{#2}}}
+\newcommand{\evolutionT}{\evolution{a}{b}{h}{\alpha}}
+
+\newcommand{\evolutionP}[4]{\prule[single]{}{}{{#1}{#3}{#4}}{{#2}}}
+\newcommand{\evolutionPT}{\evolutionP{a}{b}{h}{\alpha}}
+
+\newcommand{\pevolution}[3]{\wrule[single]{}{}{{#1}{#3}}{{#2}}}
+\newcommand{\pevolutionT}{\pevolution{a}{b}{h}}
+
+\newcommand{\pevolutionP}[3]{\evolutionP{#1}{#2}{#3}{}}
+\newcommand{\pevolutionPT}{\pevolutionP{a}{b}{h}}
+
+\newcommand{\antiport}[4]{\wrule[paren]{}{}{{#1}{#2}}{{#3}{#4}}}
+\newcommand{\antiportT}{\antiport{u}{i}{v}{j}}
+\newcommand{\symportT}{\antiport{u}{i}{\lambda}{j}}
+
+\newcommand{\antiportP}[4]{\prule[paren]{}{}{{#1}{#2}}{{#3}{#4}}}
+\newcommand{\antiportPT}{\antiportP{u}{i}{v}{j}}
+\newcommand{\symportPT}{\antiportP{u}{i}{\lambda}{j}}
+
+\newcommand{\sendin}[5]{\wrule{2}{1}{{{}{#3}{#4}}{{#1}}}{{{#2}{#3}{#5}}}}
+\newcommand{\sendinT}{\sendin{a}{b}{h}{\alpha_{1}}{\alpha_{2}}}
+
+\newcommand{\sendinP}[5]{\prule{2}{1}{{{}{#3}{#4}}{{#1}}}{{{#2}{#3}{#5}}}}
+\newcommand{\sendinPT}{\sendinP{a}{b}{h}{\alpha_{1}}{\alpha_{2}}}
+
+\newcommand{\psendin}[3]{\sendin{#1}{#2}{#3}{}{}}
+\newcommand{\psendinT}{\psendin{a}{b}{h}}
+
+\newcommand{\psendinP}[3]{\sendinP{#1}{#2}{#3}{}{}}
+\newcommand{\psendinPT}{\psendinP{a}{b}{h}}
+
+\newcommand{\sendout}[5]{\wrule{1}{2}{{{#1}{#3}{#4}}}{{{}{#3}{#5}}{{#2}}}}
+\newcommand{\sendoutT}{\sendout{a}{b}{h}{\alpha_{1}}{\alpha_{2}}}
+
+\newcommand{\sendoutP}[5]{\prule{1}{2}{{{#1}{#3}{#4}}}{{{}{#3}{#5}}{{#2}}}}
+\newcommand{\sendoutPT}{\sendout{a}{b}{h}{\alpha_{1}}{\alpha_{2}}}
+
+\newcommand{\psendout}[3]{\sendout{#1}{#2}{#3}{}{}}
+\newcommand{\psendoutT}{\psendout{a}{b}{h}}
+
+\newcommand{\psendoutP}[3]{\sendoutP{#1}{#2}{#3}{}{}}
+\newcommand{\psendoutPT}{\psendoutP{a}{b}{h}}
+
+\newcommand{\dissolution}[4]{\wrule{3}{2}{{}{}{{#1}{#3}{#4}}}{{}{{#2}}}}
+\newcommand{\dissolutionT}{\dissolution{a}{b}{h}{\alpha}}
+
+\newcommand{\dissolutionP}[4]{\prule{3}{2}{{}{}{{#1}{#3}{#4}}}{{}{{#2}}}}
+\newcommand{\dissolutionPT}{\dissolutionP{a}{b}{h}{\alpha}}
+
+\newcommand{\pdissolution}[3]{\dissolution{#1}{#2}{#3}{}}
+\newcommand{\pdissolutionT}{\pdissolution{a}{b}{h}}
+
+\newcommand{\pdissolutionP}[3]{\dissolutionP{#1}{#2}{#3}{}}
+\newcommand{\pdissolutionPT}{\pdissolutionP{a}{b}{h}}
+
+\newcommand{\division}[7]{\wrule{1}{4}{{{#1}{#4}{#5}}{}}{{}{}{{#2}{#4}{#6}}{{#3}{#4}{#7}}}}
+\newcommand{\divisionT}{\division{a}{b}{c}{h}{\alpha}{\alpha_{1}}{\alpha_{2}}}
+
+\newcommand{\divisionP}[7]{\prule{1}{4}{{{#1}{#4}{#5}}{}}{{}{}{{#2}{#4}{#6}}{{#3}{#4}{#7}}}}
+\newcommand{\divisionPT}{\divisionP{a}{b}{c}{h}{\alpha}{\alpha_{1}}{\alpha_{2}}}
+
+\newcommand{\pdivision}[4]{\division{#1}{#2}{#3}{#4}{}{}{}}
+\newcommand{\pdivisionT}{\pdivision{a}{b}{c}{h}}
+
+\newcommand{\pdivisionP}[4]{\divisionP{#1}{#2}{}{#3}{}{#4}{}}
+\newcommand{\pdivisionPT}{\pdivisionP{a}{h}{b}{c}}
+
+\newcommand{\separation}[5]{\wrule{1}{4}{{{#1}{#2}{#3}}{}}{{}{}{{\wa_{0}}{#2}{#4}}{{\wa_{1}}{#2}{#5}}}}
+\newcommand{\separationT}{\separation{a}{h}{\alpha}{\alpha_{1}}{\alpha_{2}}}
+
+\newcommand{\separationP}[5]{\prule{1}{4}{{{#1}{#2}{#3}}{}}{{}{}{{\wa_{0}}{#2}{#4}}{{\wa_{1}}{#2}{#5}}}}
+\newcommand{\separationPT}{\separationP{a}{h}{\alpha}{\alpha_{1}}{\alpha_{2}}}
+
+\newcommand{\pseparation}[2]{\separation{#1}{#2}{}{}{}}
+\newcommand{\pseparationT}{\pseparation{a}{h}}
+
+\newcommand{\pseparationP}[2]{\separationP{#1}{#2}{}{}{}}
+\newcommand{\pseparationPT}{\pseparationP{a}{h}}
+
+\newcommand{\creation}[8]{\wrule{1}{3}{{{#1}{#4}{#6}}}{{{#2}{#4}{#7}}{}{{#3}{#5}{#8}}}}
+\newcommand{\creationT}{\creation{a}{b}{c}{h}{h_{1}}{\alpha}{\alpha_{1}}{\alpha_{2}}}
+
+\newcommand{\creationP}[8]{\prule{1}{3}{{{#1}{#4}{#6}}}{{{#2}{#4}{#7}}{}{{#3}{#5}{#8}}}}
+\newcommand{\creationPT}{\creationP{a}{b}{c}{h}{h_{1}}{\alpha}{\alpha_{1}}{\alpha_{2}}}
+
+\newcommand{\pcreation}[5]{\creation{#1}{#2}{#3}{#4}{#5}{}{}{}}
+\newcommand{\pcreationT}{\pcreation{a}{b}{c}{h}{h_{1}}}
+
+\newcommand{\pcreationP}[5]{\creationP{#1}{#2}{#3}{#4}{#5}{}{}{}}
+\newcommand{\pcreationPT}{\pcreationP{a}{b}{c}{h}{h_{1}}}
+
+\newcommand{\spiking}[4]{\wrule[spike]{}{}{{#1}{#2}}{{#3}{#4}}}
+\newcommand{\spikingT}{\spiking{E}{a^{n}}{a}{d}}
+\newcommand{\forgettingT}{\spiking{}{a^{n}}{\lambda}{}}
+
+\newcommand{\spikingP}[4]{\prule[spike]{}{}{{#1}{#2}}{{#3}{#4}}}
+\newcommand{\spikingPT}{\spikingP{E}{a^{n}}{a}{d}}
+\newcommand{\forgettingPT}{\spikingP{}{a^{n}}{\lambda}{}}
+
+\newcommand{\krewriting}[3]{\wrule{2}{3}{{}{{#1}}}{{}{{#2}}{{#3}{!}}}}
+\newcommand{\krewritingT}{\krewriting{x}{y}{g}}
+
+\newcommand{\krewritingP}[3]{\prule{2}{3}{{}{{#1}}}{{}{{#2}}{{#3}{!}}}}
+\newcommand{\krewritingPT}{\krewritingP{x}{y}{g}}
+
+\newcommand{\linkcreation}[5]{\wrule{5}{6}{{}{}{{#1}{#3}}{;}{{}{#4}}}{{}{}{{#2}{#3}}{-}{{}{#4}}{{#5}{!}}}}
+\newcommand{\linkcreationT}{\linkcreation{x}{y}{t_{l_{i}}}{t_{l_{j}}}{g}}
+
+\newcommand{\linkcreationP}[5]{\prule{5}{6}{{}{}{{#1}{#3}}{;}{{}{#4}}}{{}{}{{#2}{#3}}{-}{{}{#4}}{{#5}{!}}}}
+\newcommand{\linkcreationPT}{\linkcreationP{x}{y}{t_{l_{i}}}{t_{l_{j}}}{g}}
+
+\newcommand{\linkdestruction}[5]{\wrule{5}{6}{{}{}{{#1}{#3}}{-}{{}{#4}}}{{}{}{{#2}{#3}}{;}{{}{#4}}{{#5}{!}}}}
+\newcommand{\linkdestructionT}{\linkdestruction{x}{y}{t_{l_{i}}}{t_{l_{j}}}{g}}
+
+\newcommand{\linkdestructionP}[5]{\prule{5}{6}{{}{}{{#1}{#3}}{-}{{}{#4}}}{{}{}{{#2}{#3}}{;}{{}{#4}}{{#5}{!}}}}
+\newcommand{\linkdestructionPT}{\linkdestructionP{x}{y}{t_{l_{i}}}{t_{l_{j}}}{g}}
+
+% Families of P systems
+
+\newcommand{\Pfamily}[4]{\ensuremath{\mathcal{#1}^{#2}_{#3} \IfStrEq{#4}{}{}{( #4 )}}}
+\newcommand{\AM}[2][]{\Pfamily{AM}{#1}{}{#2}}
+\newcommand{\AMO}[1]{\Pfamily{AM}{0}{}{#1}}
+\newcommand{\TC}[2][]{\Pfamily{T#1C}{}{}{#2}}
+\newcommand{\TDC}[1]{\TC[D]{#1}}
+\newcommand{\TSC}[1]{\TC[S]{#1}}
+\newcommand{\CC}[2][]{\Pfamily{C#1C}{}{}{#2}}
+\newcommand{\CDC}[1]{\CC[D]{#1}}
+\newcommand{\CSC}[1]{\CC[S]{#1}}
+\newcommand{\TEC}[2][]{\TC[#1E]{#2}}
+\newcommand{\TDEC}[1]{\TEC[D]{#1}}
+\newcommand{\TSEC}[1]{\TEC[S]{#1}}
+\newcommand{\CEC}[2][]{\CC[#1E]{#2}}
+\newcommand{\CDEC}[1]{\CEC[D]{#1}}
+\newcommand{\CSEC}[1]{\CEC[S]{#1}}
+
+% Terms of computability theory
+
+\newcommand{\compSet}[1]{\ensuremath{#1}}
+\newcommand{\REG}{\compSet{REG}}
+\newcommand{\LIN}{\compSet{LIN}}
+\newcommand{\CF}{\compSet{CF}}
+\newcommand{\CS}{\compSet{CS}}
+\newcommand{\RE}{\compSet{RE}}
+
+% Terms of computational complexity theory
+
+\newcommand{\complClass}[3]{\ensuremath{\mathbf{#1MC}^{#2}_{#3}}}
+\newcommand{\PMC}[2][]{\complClass{P}{#1}{#2}}
+\newcommand{\PSPACEMC}[2][]{\complClass{PSPACE}{#1}{#2}}
+\newcommand{\EXPMC}[2][]{\complClass{EXP}{#1}{#2}}
+\newcommand{\EXPSPACEMC}[2][]{\complClass{EXPPSPACE}{#1}{#2}}
+
+\fullexpandarg
+\noexploregroups
+
+\endinput
+
+v0.1 23/07/2020
+ - Created package
+ - Created some examples and templates \ No newline at end of file
diff --git a/Master/tlpkg/bin/tlpkg-ctan-check b/Master/tlpkg/bin/tlpkg-ctan-check
index 1fd1b2e182b..573b304c90c 100755
--- a/Master/tlpkg/bin/tlpkg-ctan-check
+++ b/Master/tlpkg/bin/tlpkg-ctan-check
@@ -485,7 +485,7 @@ my @TLP_working = qw(
matrix-skeleton mattens maybemath
mcaption mceinleger mcexam mcf2graph mcite mciteplus mcmthesis
mdframed mdputu mdsymbol mdwtools media4svg media9 medstarbeamer
- meetingmins memdesign memexsupp
+ meetingmins membranecomputing memdesign memexsupp
memoir MemoirChapStyles memory memorygraphs mendex-doc mentis
mensa-tex menu menucard menukeys mercatormap merriweather
metafont-beginners metago metalogo metalogox metanorma metaobj metaplot
diff --git a/Master/tlpkg/tlpsrc/collection-mathscience.tlpsrc b/Master/tlpkg/tlpsrc/collection-mathscience.tlpsrc
index 0ec91797ce8..526832577a5 100644
--- a/Master/tlpkg/tlpsrc/collection-mathscience.tlpsrc
+++ b/Master/tlpkg/tlpsrc/collection-mathscience.tlpsrc
@@ -127,6 +127,7 @@ depend mathpunctspace
depend matrix-skeleton
depend matlab-prettifier
depend mattens
+depend membranecomputing
depend memorygraphs
depend mgltex
depend mhchem
diff --git a/Master/tlpkg/tlpsrc/membranecomputing.tlpsrc b/Master/tlpkg/tlpsrc/membranecomputing.tlpsrc
new file mode 100644
index 00000000000..e69de29bb2d
--- /dev/null
+++ b/Master/tlpkg/tlpsrc/membranecomputing.tlpsrc