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	7	<title>master of mathematics — bandali</title>
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	55	<h1><a href=".">bandali</a>'s master of mathematics</h1>
	56
	57	<p>I graduated from the University of Waterloo with the degree of
	58	Master of Mathematics in Computer Science in Spring 2020. My research
	59	at the <a href="https://watform.uwaterloo.ca">Waterloo Formal Methods</a>
	60	group focused on formal logic, model checking, and verification; under
	61	supervision of
	62	<a href="https://cs.uwaterloo.ca/~nday/">Prof. Nancy Day</a>.</p>
	63
	64	<h2>A Comprehensive Study of Declarative Modelling Languages</h2>
	65
	66	<!-- <p><em>Jump to:</em>
	67	<a href="#thesis">thesis</a> \|
	68	<a href="#presentation">presentation</a> \|
	69	<a href="#models">models</a></p> -->
	70
	71	<h3 id="thesis">Thesis</h3>
	72
	73	<p>Reference version:
	74	<a href="https://p.bndl.org/bandali-mmath-thesis.pdf">pdf</a> \|
	75	<a href="bandali-bib.html#bandali2020">bib</a><br/>
	76
	77	<span class="tex">L<sup>a</sup>T<sub>e</sub>X</span> sources:
	78	<a href="https://p.bndl.org/bandali-mmath-thesis.tar.gz">tar.gz</a> \|
	79	<a href="https://p.bndl.org/bandali-mmath-thesis.zip">zip</a></p>
	80
	81	<details class="box">
	82	<summary>Abstract</summary>
	83	<blockquote>
	84	<p>Declarative behavioural modelling is a powerful modelling paradigm
	85	that enables users to model system functionality abstractly and
	86	formally. An abstract model is a concise and compact representation
	87	of key characteristics of a system, and enables the stakeholders to
	88	reason about the correctness of the system in the early stages of
	89	development.</p>
	90
	91	<p>There are many different declarative languages and they have
	92	greatly varying constructs for representing a transition system, and
	93	they sometimes differ in rather subtle ways. In this thesis, we
	94	compare seven formal declarative modelling languages B, Event-B,
	95	Alloy, Dash, TLA<sup>+</sup>, PlusCal, and AsmetaL on several
	96	criteria. We classify these criteria under three main categories:
	97	structuring transition systems (control modelling), data descriptions
	98	in transition systems (data modelling), and modularity aspects of
	99	modelling. We developed this comparison by completing a set of case
	100	studies across the data- vs. control-oriented spectrum in all of the
	101	above languages.</p>
	102
	103	<p>Structurally, a transition system is comprised of a snapshot
	104	declaration and snapshot space, initialization, and a transition
	105	relation, which is potentially composed of individual transitions.
	106	We meticulously outline the differences between the languages with
	107	respect to how the modeller would express each of the above components
	108	of a transition system in each language, and include discussions
	109	regarding stuttering and inconsistencies in the transition relation.
	110	Data-related aspects of a formal model include use of basic and
	111	composite datatypes, well-formedness and typechecking, and separation
	112	of name spaces with respect to global and local variables. Modularity
	113	criteria includes subtransition systems and data decomposition.
	114	We employ a series of small and concise exemplars we have devised to
	115	highlight these differences in each language. To help modellers
	116	answer the important question of which declarative modelling language
	117	may be most suited for modelling their system, we present
	118	recommendations based on our observations about the differentiating
	119	characteristics of each of these languages.</p>
	120	</blockquote>
	121	</details>
	122
	123	<details class="box" open>
	124	<summary>License</summary>
	125	<pre>
	126	This thesis is free software: you can redistribute it and/or modify
	127	it under the terms of the GNU General Public License as published by
	128	the Free Software Foundation, either version 3 of the License, or
	129	(at your option) any later version.
	130
	131	This thesis is distributed in the hope that it will be useful,
	132	but WITHOUT ANY WARRANTY; without even the implied warranty of
	133	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
	134	GNU General Public License for more details.
	135
	136	You should have received a copy of the GNU General Public License
	137	along with this thesis. If not, see <<a href="https://www.gnu.org/licenses/">https://www.gnu.org/licenses/</a>>.
	138	</pre>
	139	</details>
	140
	141	<p>A copy of the GNU General Public License is available from the
	142	COPYING file included in both of
	143	the <span class="tex">L<sup>a</sup>T<sub>e</sub>X</span> source
	144	archives linked above.</p>
	145
	146	<h3 id="presentation">Presentation</h3>
	147
	148	<p>Reference version:
	149	pdf (coming soon)<br/>
	150	<span class="tex">L<sup>a</sup>T<sub>e</sub>X</span> sources:
	151	tar.gz \| zip (coming soon)</p>
	152
	153	<p>This is the presentation I delivered to my supervisor and the
	154	second readers of my thesis on Jun 30, 2020, as
	155	<a href="https://cs.uwaterloo.ca/events/masters-thesis-presentation-formal-methods-comprehensive-study-declarative-modelling-languages">announced</a>
	156	on the Cheriton School of Computer Science website.</p>
	157
	158	<h3 id="models">Models</h3>
	159
	160	<p>Reference version:
	161	tar.gz \| zip (coming soon)</p>
	162
	163	<hr />
	164	<details id="copy">
	165	<summary>Copyright © 2020 bandali</summary>
	166	<p>Copying and distribution of this file, with or without
	167	modification, are permitted in any medium without royalty provided the
	168	copyright notice and this notice are preserved. This file is offered
	169	as-is, without any warranty.</p>
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