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&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Previous revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 02:22, 17 November 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{short description|Formal method for the development of computer-based systems}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{short description|Formal method for the development of computer-based systems}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The &#039;&#039;&#039;Vienna Development Method&#039;&#039;&#039; (&#039;&#039;&#039;VDM&#039;&#039;&#039;) is one of the longest-established [[formal methods]] for the development of computer-based systems. Originating in work done at the [[IBM Laboratory Vienna]]&amp;lt;ref&amp;gt;Some idea of that work, including a technical report TR 25.139 on &quot;[https://link.springer.com/content/pdf/10.1007%2FBFb0048942.pdf A Formal Definition of a PL/1 Subset]&quot;, dated 20 December 1974, is reprinted in Jones 1984, p.107-155. Of particular note is the list of authors in order: H. Bekič, D. Bjørner, W. Henhapl, C. B. Jones, P. Lucas.&amp;lt;/ref&amp;gt; in the 1970s, it has grown to include a group of techniques and tools based on a formal specification language—the VDM Specification Language (VDM-SL). It has an extended form, VDM++,&amp;lt;ref&amp;gt;The double plus is adopted from the [[C++]] objected oriented programming language based on C.&amp;lt;/ref&amp;gt; which supports the modeling of [[object-oriented]] and concurrent systems. Support for VDM includes commercial and academic tools for analyzing models, including support for testing and proving properties of models and generating program code from validated VDM models. There is a history of industrial usage of VDM and its tools and a growing body of research in the formalism has led to notable contributions to the engineering of critical systems, [[compilers]], concurrent systems and in [[logic]] for [[computer science]].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The &#039;&#039;&#039;Vienna Development Method&#039;&#039;&#039; (&#039;&#039;&#039;VDM&#039;&#039;&#039;) is one of the longest-established [[formal methods]] for the development of computer-based systems. Originating in work done at the [[IBM Laboratory Vienna]]&amp;lt;ref&amp;gt;Some idea of that work, including a technical report TR 25.139 on &quot;[https://link.springer.com/content/pdf/10.1007%2FBFb0048942.pdf A Formal Definition of a PL/1 Subset]&quot;, dated 20 December 1974, is reprinted in Jones 1984, p.107-155. Of particular note is the list of authors in order: H. Bekič, D. Bjørner, W. Henhapl, C. B. Jones, P. Lucas.&amp;lt;/ref&amp;gt; in the 1970s, it has grown to include a group of techniques and tools based on a formal specification language—the VDM Specification Language (VDM-SL). It has an extended form, VDM++,&amp;lt;ref&amp;gt;The double plus is adopted from the [[C++]] objected oriented programming language based on C.&amp;lt;/ref&amp;gt; which supports the modeling of [[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Object-oriented programming|&lt;/ins&gt;object-oriented]] and concurrent systems. Support for VDM includes commercial and academic tools for analyzing models, including support for testing and proving properties of models and generating program code from validated VDM models. There is a history of industrial usage of VDM and its tools and a growing body of research in the formalism has led to notable contributions to the engineering of critical systems, [[compilers]], concurrent systems and in [[logic]] for [[computer science]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Philosophy==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Philosophy==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l206&quot;&gt;Line 206:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 206:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;====Structuring in VDM-SL====&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;====Structuring in VDM-SL====&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In the ISO standard for VDM-SL there is an informative annex that contains different structuring principles. These all follow traditional information hiding principles with modules and they can be explained as:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In the ISO standard for VDM-SL there is an informative annex that contains different structuring principles. These all follow traditional &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;information hiding&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;principles with modules and they can be explained as:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Module naming&amp;#039;&amp;#039;&amp;#039;: Each module is syntactically started with the keyword &amp;lt;code&amp;gt;module&amp;lt;/code&amp;gt; followed by the name of the module. At the end of a module the keyword &amp;lt;code&amp;gt;end&amp;lt;/code&amp;gt; is written followed again by the name of the module.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Module naming&amp;#039;&amp;#039;&amp;#039;: Each module is syntactically started with the keyword &amp;lt;code&amp;gt;module&amp;lt;/code&amp;gt; followed by the name of the module. At the end of a module the keyword &amp;lt;code&amp;gt;end&amp;lt;/code&amp;gt; is written followed again by the name of the module.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Importing&amp;#039;&amp;#039;&amp;#039;: It is possible to import definitions that has been exported from other modules. This is done in an &amp;#039;&amp;#039;imports section&amp;#039;&amp;#039; that is started off with the keyword &amp;lt;code&amp;gt;imports&amp;lt;/code&amp;gt; and followed by a sequence of imports from different modules. Each of these module imports are started with the keyword &amp;lt;code&amp;gt;from&amp;lt;/code&amp;gt; followed by the name of the module and a module signature. The &amp;#039;&amp;#039;module signature&amp;#039;&amp;#039; can either simply be the keyword &amp;lt;code&amp;gt;all&amp;lt;/code&amp;gt; indicating the import of all definitions exported from that module, or it can be a sequence of import signatures. The import signatures are specific for types, values, functions and operations and each of these are started with the corresponding keyword. In addition these import signatures name the constructs that there is a desire to get access to. In addition optional type information can be present and finally it is possible to &amp;#039;&amp;#039;rename&amp;#039;&amp;#039; each of the constructs upon import. For types one needs also to use the keyword &amp;lt;code&amp;gt;struct&amp;lt;/code&amp;gt; if one wish to get access to the &amp;#039;&amp;#039;internal structure&amp;#039;&amp;#039; of a particular type.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Importing&amp;#039;&amp;#039;&amp;#039;: It is possible to import definitions that has been exported from other modules. This is done in an &amp;#039;&amp;#039;imports section&amp;#039;&amp;#039; that is started off with the keyword &amp;lt;code&amp;gt;imports&amp;lt;/code&amp;gt; and followed by a sequence of imports from different modules. Each of these module imports are started with the keyword &amp;lt;code&amp;gt;from&amp;lt;/code&amp;gt; followed by the name of the module and a module signature. The &amp;#039;&amp;#039;module signature&amp;#039;&amp;#039; can either simply be the keyword &amp;lt;code&amp;gt;all&amp;lt;/code&amp;gt; indicating the import of all definitions exported from that module, or it can be a sequence of import signatures. The import signatures are specific for types, values, functions and operations and each of these are started with the corresponding keyword. In addition these import signatures name the constructs that there is a desire to get access to. In addition optional type information can be present and finally it is possible to &amp;#039;&amp;#039;rename&amp;#039;&amp;#039; each of the constructs upon import. For types one needs also to use the keyword &amp;lt;code&amp;gt;struct&amp;lt;/code&amp;gt; if one wish to get access to the &amp;#039;&amp;#039;internal structure&amp;#039;&amp;#039; of a particular type.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l213&quot;&gt;Line 213:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 213:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;====Structuring in VDM++====&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;====Structuring in VDM++====&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In VDM++ structuring are done using classes and multiple inheritance. The key concepts are:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In VDM++ structuring are done using classes and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;multiple inheritance&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/ins&gt;. The key concepts are:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Class&amp;#039;&amp;#039;&amp;#039;: Each class is syntactically started with the keyword &amp;lt;code&amp;gt;class&amp;lt;/code&amp;gt; followed by the name of the class. At the end of a class the keyword &amp;lt;code&amp;gt;end&amp;lt;/code&amp;gt; is written followed again by the name of the class.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Class&amp;#039;&amp;#039;&amp;#039;: Each class is syntactically started with the keyword &amp;lt;code&amp;gt;class&amp;lt;/code&amp;gt; followed by the name of the class. At the end of a class the keyword &amp;lt;code&amp;gt;end&amp;lt;/code&amp;gt; is written followed again by the name of the class.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Inheritance&amp;#039;&amp;#039;&amp;#039;: In case a class inherits constructs from other classes the class name in the class heading can be followed by the keywords &amp;lt;code&amp;gt;is subclass of&amp;lt;/code&amp;gt; followed by a comma-separated list of names of superclasses.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Inheritance&amp;#039;&amp;#039;&amp;#039;: In case a class inherits constructs from other classes the class name in the class heading can be followed by the keywords &amp;lt;code&amp;gt;is subclass of&amp;lt;/code&amp;gt; followed by a comma-separated list of names of superclasses.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l240&quot;&gt;Line 240:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 240:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The precondition and postcondition together form a &amp;#039;&amp;#039;contract&amp;#039;&amp;#039; that to be satisfied by any program claiming to implement the function. The precondition records the assumptions under which the function guarantees to return a result satisfying the postcondition. If a function is called on inputs that do not satisfy its precondition, the outcome is undefined (indeed, termination is not even guaranteed).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The precondition and postcondition together form a &amp;#039;&amp;#039;contract&amp;#039;&amp;#039; that to be satisfied by any program claiming to implement the function. The precondition records the assumptions under which the function guarantees to return a result satisfying the postcondition. If a function is called on inputs that do not satisfy its precondition, the outcome is undefined (indeed, termination is not even guaranteed).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;VDM-SL also supports the definition of executable functions in the manner of a functional programming language. In an &#039;&#039;explicit&#039;&#039; function definition, the result is defined by means of an expression over the inputs. For example, a function that produces a list of the squares of a list of numbers might be defined as follows:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;VDM-SL also supports the definition of executable functions in the manner of a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;functional programming&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;language. In an &#039;&#039;explicit&#039;&#039; function definition, the result is defined by means of an expression over the inputs. For example, a function that produces a list of the squares of a list of numbers might be defined as follows:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;syntaxhighlight lang=&amp;quot;rsl&amp;quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;syntaxhighlight lang=&amp;quot;rsl&amp;quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;SqList: seq of nat -&amp;gt; seq of nat&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;SqList: seq of nat -&amp;gt; seq of nat&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l270&quot;&gt;Line 270:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 270:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===State-based modelling===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===State-based modelling===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In VDM-SL, functions do not have side-effects such as changing the state of a persistent global variable. This is a useful ability in many programming languages, so a similar concept exists; instead of functions, &#039;&#039;operations&#039;&#039; are used to change &#039;&#039;&#039;state variables&#039;&#039;&#039; (also known as &#039;&#039;globals&#039;&#039;).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In VDM-SL, functions do not have side-effects such as changing the state of a persistent &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;global variable&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/ins&gt;. This is a useful ability in many programming languages, so a similar concept exists; instead of functions, &#039;&#039;operations&#039;&#039; are used to change &#039;&#039;&#039;state variables&#039;&#039;&#039; (also known as &#039;&#039;globals&#039;&#039;).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For example, if we have a state consisting of a single variable &amp;lt;code&amp;gt;someStateRegister : nat&amp;lt;/code&amp;gt;, we could define this in VDM-SL as:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For example, if we have a state consisting of a single variable &amp;lt;code&amp;gt;someStateRegister : nat&amp;lt;/code&amp;gt;, we could define this in VDM-SL as:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l403&quot;&gt;Line 403:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 403:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Tool support==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Tool support==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A number of different tools support VDM:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A number of different tools support VDM:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [http://www.vdmtools.jp/en VDMTools] was the leading commercial tools for VDM and VDM++, owned, marketed, maintained and developed by [http://www.csk.com CSK Systems], building on earlier versions developed by the Danish Company IFAD. The [http://www.vdmtools.jp/en/modules/tinyd2/index.php?id=2 manuals] and a practical [http://www.vdmportal.org/twiki/pub/Main/WebHome/tutorial1.pdf tutorial] are available. All licenses are available, free of charge, for the full version of the tool. The full version includes automatic code generation for Java and C++, dynamic link library and CORBA support.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [http://www.vdmtools.jp/en VDMTools] was the leading commercial tools for VDM and VDM++, owned, marketed, maintained and developed by [http://www.csk.com CSK Systems], building on earlier versions developed by the Danish Company IFAD. The [http://www.vdmtools.jp/en/modules/tinyd2/index.php?id=2 manuals] and a practical [http://www.vdmportal.org/twiki/pub/Main/WebHome/tutorial1.pdf tutorial] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Webarchive|url=https://web.archive.org/web/20081119145552/http://www.vdmportal.org/twiki/pub/Main/WebHome/tutorial1.pdf |date=19 November 2008 }} &lt;/ins&gt;are available. All licenses are available, free of charge, for the full version of the tool. The full version includes automatic code generation for Java and C++, dynamic link library and CORBA support.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [http://www.overturetool.org/ Overture] is a community-based open source initiative aimed at providing freely available tool support for all VDM dialects (VDM-SL, VDM++ and VDM-RT) originally on top of the Eclipse platform but subsequently on top of the Visual Studio Code platform. Its aim is to develop a framework for interoperable tools that will be useful for industrial application, research and education.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [http://www.overturetool.org/ Overture] is a community-based open source initiative aimed at providing freely available tool support for all VDM dialects (VDM-SL, VDM++ and VDM-RT) originally on top of the Eclipse platform but subsequently on top of the Visual Studio Code platform. Its aim is to develop a framework for interoperable tools that will be useful for industrial application, research and education.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://github.com/peterwvj/vdm-mode vdm-mode] is a collection of Emacs packages for writing VDM specifications using VDM-SL, VDM++ and VDM-RT. It supports syntax highlighting and editing, on-the-fly syntax checking, template completion and interpreter support.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://github.com/peterwvj/vdm-mode vdm-mode] is a collection of Emacs packages for writing VDM specifications using VDM-SL, VDM++ and VDM-RT. It supports syntax highlighting and editing, on-the-fly syntax checking, template completion and interpreter support.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [http://www.adelard.com/web/hnav/services/SoftwareTools/SpecBox/index.html SpecBox]: from Adelard provides syntax checking, some simple semantic checking, and generation of a LaTeX file enabling specifications to be printed in mathematical notation. This tool is freely available but it is not being further maintained.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [http://www.adelard.com/web/hnav/services/SoftwareTools/SpecBox/index.html SpecBox] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Webarchive|url=https://web.archive.org/web/20110707083149/http://www.adelard.com/web/hnav/services/SoftwareTools/SpecBox/index.html |date=7 July 2011 }}&lt;/ins&gt;: from Adelard provides syntax checking, some simple semantic checking, and generation of a LaTeX file enabling specifications to be printed in mathematical notation. This tool is freely available but it is not being further maintained.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[LaTeX]] and LaTeX2e macros are available to support the presentation of VDM models in the ISO Standard Language&amp;#039;s mathematical syntax. They have been developed and are maintained by the National Physical Laboratory in the UK. [http://ftp.npl.co.uk/pub/latex/macros/vdm-sl/README Documentation] and the  [http://ftp.npl.co.uk/pub/latex/macros/vdm-sl/ macros] are available online.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[LaTeX]] and LaTeX2e macros are available to support the presentation of VDM models in the ISO Standard Language&amp;#039;s mathematical syntax. They have been developed and are maintained by the National Physical Laboratory in the UK. [http://ftp.npl.co.uk/pub/latex/macros/vdm-sl/README Documentation] and the  [http://ftp.npl.co.uk/pub/latex/macros/vdm-sl/ macros] are available online.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l509&quot;&gt;Line 509:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 509:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{Cite book| last = O&amp;#039;Regan | first = Gerard | title = Mathematical Approaches to Software Quality | publisher = Springer | year = 2006 | location = London | isbn = 978-1-84628-242-3 }}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{Cite book| last = O&amp;#039;Regan | first = Gerard | title = Mathematical Approaches to Software Quality | publisher = Springer | year = 2006 | location = London | isbn = 978-1-84628-242-3 }}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{Cite book| editor=Cliff B. Jones | title = Programming Languages and Their Definition — H. Bekič (1936-1982)| series = [[Lecture Notes in Computer Science]] | volume= 177 | publisher = Springer-Verlag | year = 1984 | location = Berlin, Heidelberg, New York, Tokyo | isbn = 978-3-540-13378-0 | doi = 10.1007/BFb0048933| s2cid = 7488558}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{Cite book| editor=Cliff B. Jones | title = Programming Languages and Their Definition — H. Bekič (1936-1982)| series = [[Lecture Notes in Computer Science]] | volume= 177 | publisher = Springer-Verlag | year = 1984 | location = Berlin, Heidelberg, New York, Tokyo | isbn = 978-3-540-13378-0 | doi = 10.1007/BFb0048933| s2cid = 7488558}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[John Fitzgerald (computer scientist)|Fitzgerald, J.S.]] and Larsen, P.G., &#039;&#039;Modelling Systems: Practical Tools and Techniques in Software Engineering&#039;&#039;. [[Cambridge University Press]], 1998 {{ISBN|0-521-62348-0}} (Japanese Edition pub. [[Iwanami Shoten]] 2003 {{ISBN|4-00-005609-3}}).&amp;lt;ref&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[&lt;/del&gt;http://www.csr.ncl.ac.uk/modelling-book/ &#039;&#039;Modelling Systems: Practical Tools and Techniques in Software Engineering&#039;&#039;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]&lt;/del&gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[John Fitzgerald (computer scientist)|Fitzgerald, J.S.]] and Larsen, P.G., &#039;&#039;Modelling Systems: Practical Tools and Techniques in Software Engineering&#039;&#039;. [[Cambridge University Press]], 1998 {{ISBN|0-521-62348-0}} (Japanese Edition pub. [[Iwanami Shoten]] 2003 {{ISBN|4-00-005609-3}}).&amp;lt;ref&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Cite web |url=&lt;/ins&gt;http://www.csr.ncl.ac.uk/modelling-book/ &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|title=&lt;/ins&gt;&#039;&#039;Modelling Systems: Practical Tools and Techniques in Software Engineering&#039;&#039; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|access-date=8 September 2007 |archive-date=17 May 2012 |archive-url=https://web.archive.org/web/20120517032626/http://www.csr.ncl.ac.uk/modelling-book/ |url-status=dead }}&lt;/ins&gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[John Fitzgerald (computer scientist)|Fitzgerald, J.S.]], Larsen, P.G., Mukherjee, P., Plat, N. and Verhoef, M., &amp;#039;&amp;#039;Validated Designs for Object-oriented Systems&amp;#039;&amp;#039;. [[Springer Verlag]] 2005. {{ISBN|1-85233-881-4}}. Supporting web site [http://www.vdmbook.com] includes examples and free tool support.&amp;lt;ref&amp;gt;[http://www.vdmbook.com/ &amp;#039;&amp;#039;Validated Designs for Object-oriented Systems&amp;#039;&amp;#039;]&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[John Fitzgerald (computer scientist)|Fitzgerald, J.S.]], Larsen, P.G., Mukherjee, P., Plat, N. and Verhoef, M., &amp;#039;&amp;#039;Validated Designs for Object-oriented Systems&amp;#039;&amp;#039;. [[Springer Verlag]] 2005. {{ISBN|1-85233-881-4}}. Supporting web site [http://www.vdmbook.com] includes examples and free tool support.&amp;lt;ref&amp;gt;[http://www.vdmbook.com/ &amp;#039;&amp;#039;Validated Designs for Object-oriented Systems&amp;#039;&amp;#039;]&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Cliff Jones (computer scientist)|Jones, C.B.]], &#039;&#039;Systematic Software Development using VDM&#039;&#039;, [[Prentice Hall]] 1990. {{ISBN|0-13-880733-7}}. Also available on-line and free of charge: http://www.csr.ncl.ac.uk/vdm/ssdvdm.pdf.zip&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Cliff Jones (computer scientist)|Jones, C.B.]], &#039;&#039;Systematic Software Development using VDM&#039;&#039;, [[Prentice Hall]] 1990. {{ISBN|0-13-880733-7}}. Also available on-line and free of charge: http://www.csr.ncl.ac.uk/vdm/ssdvdm.pdf.zip &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Webarchive|url=https://web.archive.org/web/20110717084413/http://www.csr.ncl.ac.uk/vdm/ssdvdm.pdf.zip |date=17 July 2011 }}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Dines Bjørner|Bjørner, D.]] and [[Cliff Jones (computer scientist)|Jones, C.B.]], &amp;#039;&amp;#039;Formal Specification and Software Development&amp;#039;&amp;#039; [[Prentice Hall]] International, 1982. {{ISBN|0-13-880733-7}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Dines Bjørner|Bjørner, D.]] and [[Cliff Jones (computer scientist)|Jones, C.B.]], &amp;#039;&amp;#039;Formal Specification and Software Development&amp;#039;&amp;#039; [[Prentice Hall]] International, 1982. {{ISBN|0-13-880733-7}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* J. Dawes, &amp;#039;&amp;#039;The VDM-SL Reference Guide&amp;#039;&amp;#039;, [[Pitman (publisher)|Pitman]] 1991. {{ISBN|0-273-03151-1}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* J. Dawes, &amp;#039;&amp;#039;The VDM-SL Reference Guide&amp;#039;&amp;#039;, [[Pitman (publisher)|Pitman]] 1991. {{ISBN|0-273-03151-1}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l524&quot;&gt;Line 524:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 524:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==External links==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==External links==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://web.archive.org/web/20080828013815/http://www.vdmportal.org/ Information on VDM and VDM++ (archived copy at archive.org)]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://web.archive.org/web/20080828013815/http://www.vdmportal.org/ Information on VDM and VDM++ (archived copy at archive.org)]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [http://hopl.murdoch.edu.au/showlanguage2.prx?exp=598 Vienna Definition Language (VDL)]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [http://hopl.murdoch.edu.au/showlanguage2.prx?exp=598 Vienna Definition Language (VDL)] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Webarchive|url=https://web.archive.org/web/20090519011520/http://hopl.murdoch.edu.au/showlanguage2.prx?exp=598 |date=19 May 2009 }}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [http://www.compass-research.eu/approach.html COMPASS Modelling Language] {{Webarchive|url=https://web.archive.org/web/20200219205126/http://www.compass-research.eu/approach.html |date=19 February 2020 }} (CML), a combination of VDM-SL with [[Communicating sequential processes|CSP]], based on [[Unifying Theories of Programming]], developed for modelling [[System of systems|Systems of Systems]] (SoS)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [http://www.compass-research.eu/approach.html COMPASS Modelling Language] {{Webarchive|url=https://web.archive.org/web/20200219205126/http://www.compass-research.eu/approach.html |date=19 February 2020 }} (CML), a combination of VDM-SL with [[Communicating sequential processes|CSP]], based on [[Unifying Theories of Programming]], developed for modelling [[System of systems|Systems of Systems]] (SoS)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>imported&gt;Thekittyburger</name></author>
	</entry>
	<entry>
		<id>http://debianws.lexgopc.com/wiki143/index.php?title=Vienna_Development_Method&amp;diff=103641&amp;oldid=prev</id>
		<title>imported&gt;Cedar101: replace lang=&quot;prolog&quot; with lang=&quot;rsl&quot; (another formal specification language)</title>
		<link rel="alternate" type="text/html" href="http://debianws.lexgopc.com/wiki143/index.php?title=Vienna_Development_Method&amp;diff=103641&amp;oldid=prev"/>
		<updated>2024-07-24T05:08:44Z</updated>

		<summary type="html">&lt;p&gt;replace lang=&amp;quot;prolog&amp;quot; with lang=&amp;quot;rsl&amp;quot; (another formal specification language)&lt;/p&gt;
&lt;a href=&quot;http://debianws.lexgopc.com/wiki143/index.php?title=Vienna_Development_Method&amp;amp;diff=103641&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>imported&gt;Cedar101</name></author>
	</entry>
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