From bd5008374111ad864074b4c48c8cf99d44e51cc8 Mon Sep 17 00:00:00 2001 From: Janis Hutz Date: Sun, 7 Jun 2026 12:18:14 +0200 Subject: [PATCH] [FMFP] Modelling --- semester4/fmfp/code/promela/00_basics.pml | 53 ++++++++++++++++++ ...methods-functional-programming-summary.pdf | Bin 604140 -> 647603 bytes ...methods-functional-programming-summary.tex | 3 + .../04_modelling/01_promela/00_syntax.tex | 17 +++++- .../01_promela/01_expressions.tex | 23 ++++++++ .../04_modelling/01_promela/02_statements.tex | 26 +++++++++ .../04_modelling/01_promela/03_macros.tex | 5 ++ 7 files changed, 126 insertions(+), 1 deletion(-) create mode 100644 semester4/fmfp/code/promela/00_basics.pml create mode 100644 semester4/fmfp/parts/04_modelling/01_promela/01_expressions.tex create mode 100644 semester4/fmfp/parts/04_modelling/01_promela/02_statements.tex create mode 100644 semester4/fmfp/parts/04_modelling/01_promela/03_macros.tex diff --git a/semester4/fmfp/code/promela/00_basics.pml b/semester4/fmfp/code/promela/00_basics.pml new file mode 100644 index 0000000..77ebe2c --- /dev/null +++ b/semester4/fmfp/code/promela/00_basics.pml @@ -0,0 +1,53 @@ +// --- Constants ----------------------------------------------- +// As C preprocessor macros +#define N 5 + +// Symbolic constant +mtype = { ack, req }; + + +// --- Typedef ------------------------------------------------- +// Structure declarations +typedef vector { int x; int y }; + + +// --- Channels ------------------------------------------------ +// Channels are used to exchange messages between processes +chan buf = [2] of { int }; // can store up to 2 integers +chan buf2 = [2] of { mtype, bit, chan }; // Messages are Triples +chan channel = [0] of { int }; // No buffer +chan unassigned_chan; // This channel is unassigned + + +// --- Variables ----------------------------------------------- +// Note that there are no floats and unbounded integers. +// Variables are initialized to 0 (ish) values +// If defined outside a process, they are global, if inside, +// they are scoped to said process +bit bit_val; // 1 bit +bool bool_val; // Equivalent to bit, also 1 bit +byte counter; // 1 byte (0...255) +short short_val; // 2 bytes (-2^15 ... 2^15 - 1) +int val; // 4 bytes +int arr[4]; // 16 bytes, array of four integers +vector v; // using the custom vector type +mtype msg = ack; // Using the symbolic constant + + +// --- Processes ----------------------------------------------- +// Process declarations +proctype myProc(int p) { + // Like the init body, any promela statements go in here + // This includes any variable or channel declarations + printf("My process"); +} + +active [N] proctype myActiveProc(int p) { + // Body goes here +} + + +// --- Initial state ------------------------------------------- +init { + printf("Hello World"); +} diff --git a/semester4/fmfp/formal-methods-functional-programming-summary.pdf b/semester4/fmfp/formal-methods-functional-programming-summary.pdf index 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zu?bFQ51@?mvD6~JP;+YnVm&ii70Pq5n)CIciICg?1la|iBZvc@-@-K|k!{k7%_s4qz{b2iW;iZ7qWnv*6+l^VXGJk@Q(2W$6yRO9R$jtxpxMU2 z?D~YS+zsqOEXTWa6{{`>X7*Ti9&C74lF{XObPa#&&>hU_x^bi;uHWlPH|Gj-+`xvi eQ!D;}^v8wA3)7cQ6jY$9+B(``85t9lDfr)S;x@ E2 : E3} +\end{itemize} +Promela has a number of built in functions, which are: +\begin{multicols}{5} + \begin{itemize} + \item \texttt{len()} + \item \texttt{empty()} + \item \texttt{nempty()} + \item \texttt{full()} + \item \texttt{nfull()} + \item \texttt{run } + \item \texttt{eval()} + \item \texttt{enabled()} + \item \texttt{pcvalue()} + \end{itemize} +\end{multicols} diff --git a/semester4/fmfp/parts/04_modelling/01_promela/02_statements.tex b/semester4/fmfp/parts/04_modelling/01_promela/02_statements.tex new file mode 100644 index 0000000..ca841de --- /dev/null +++ b/semester4/fmfp/parts/04_modelling/01_promela/02_statements.tex @@ -0,0 +1,26 @@ +\subsubsection{Statements} +The following statement types are supported by Promela: +\begin{itemize} + \item \texttt{skip}: Does not change the state (except the location counter). Always executable + \item \texttt{assert(E)}: Aborts execution if \texttt{E} evaluates to zero, otherwise is equivalent to \texttt{skip}. Always executable + \item Assignment: \texttt{x = E} assigns value of \texttt{E} to variable \texttt{x}. For arrays, use \texttt{a[n] = E}. Always executable + \item \texttt{s1;s2} (Sequential composition): Executable if \texttt{s1} is executable + \item Expression statement: Evaluates expression \texttt{E}, executable if \texttt{E} evaluates $\neq 0$. \texttt{E} must be \bi{side effect free}. +\end{itemize} + +In addition, selection statements (i.e. if / switch) and repetitions (loops) are supported: +\begin{code}{promela} + if + :: s1 -> code; + :: s2 -> code; + :: code; // The else statement, executes if no other option executable + fi + + do + :: s1 -> loop_body_1; // We can use this technique to combine if and loops + :: s2 -> loop_body_2; + :: else -> break; + od +\end{code} + +Then, we have atomic statements, which has signature \texttt{atomic \{ s \}}, which executes \texttt{s} atomically. diff --git a/semester4/fmfp/parts/04_modelling/01_promela/03_macros.tex b/semester4/fmfp/parts/04_modelling/01_promela/03_macros.tex new file mode 100644 index 0000000..dbb5b9a --- /dev/null +++ b/semester4/fmfp/parts/04_modelling/01_promela/03_macros.tex @@ -0,0 +1,5 @@ +\subsubsection{Macros} +Promela does \textit{not} support procedures. However, many of the effects (apart from recursion) can be achieved with macros. + +We define them using \mint{promela}|inline name(arg1, arg2) { /* body */ }| +As is the case in \texttt{C}, they are simply replaced in the code and thus have no new variable scope, support no recursion and have no return value.