Nach positiver Absolvierung der Lehrveranstaltung sind Studierende in der Lage die Grundlagen der Termersetzung, sowie ausgewählte Kapitel dazu zu verstehen. Die Grundlagen umfassen zumindest (i) Abstract Rewrite Systems; (ii) (First-Order) Term Rewrite Systems; (iii) Completion, Complexity, Confluence and Termination. Die ausgewählten Kapitel werden im Vorfeld geklärt werden.
The following topics are discussed:
Foundations.
(i) Abstract Rewrite Systems: definitions, properties, Newman's Lemma, commutation, strategies; (ii) (First-Order) Term Rewrite Systems: definitions, properties, equational reasoning, word problem; (iii) Completion, Complexity, Confluence and Termination: critical pair lemma, Gröbner basis, derivational complexity, connection to subrecursive hierarchies, (beyond) orthogonality, decreasing diagrams, polynomial and matrix interpretations, dependency pairs.
Advanced Topics.
Probabilistic Term Rewriting
The course is taught in English and will be held online, with all supporting materials (lecture notes, slides, recordings) available till end of June and an (online) discusson forum from September 18 to 22. During the forum, selected exercises will be discussed and further information to topics of special interest will be provided. Supporting material, slides, recordings, as well exercises will be made available on TUWEL. Please register timely for the course.
Die Vorlesung wird teilweise auf das folgende Skriptum aufbauen:
- Term Rewrite Systems, Aart Middeldorp, lecture notes, University of Innsbruck.
Zusätzliches Material ist auf der LVA Homepage zu finden.
