Abstract

Automata classes including Turing Machines, Pushdown Automata and Finite Automata define the most elegant models of computation in terms of set processors. This study elaborates pedagogically motivated intuitive and formal relations between mathematical models and other computer science areas, so that students can relate different areas of computer science in a meaningful way. Cases that promote learning about theoretical models are presented with other related areas, such as programming languages, compilers and software design. Dynamic aspects of software can be appropriately modeled by certain automata based models. Visualizations are developed to help students in their initial stages of understanding of these relations. The visualizations demonstrate that mathematical models such as Pushdown Automata are reasonable processors of some programming language features such as balanced {'s and }'s which are evidently helpful in learning this kind of relation.

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