Theoretical Computer Science
Monads and Modular Term Rewriting
CTCS '97 Proceedings of the 7th International Conference on Category Theory and Computer Science
A 2-Categorical Presentation of Term Graph Rewriting
CTCS '97 Proceedings of the 7th International Conference on Category Theory and Computer Science
Abstract Syntax and Variable Binding
LICS '99 Proceedings of the 14th Annual IEEE Symposium on Logic in Computer Science
Free iterative theories: a coalgebraic view
Mathematical Structures in Computer Science
Recursive Program Schemes and Context-Free Monads
Electronic Notes in Theoretical Computer Science (ENTCS)
RTA'05 Proceedings of the 16th international conference on Term Rewriting and Applications
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This paper introduces guarded and strongly guarded monads as a unified model of a variety of different term algebras covering fundamental examples such as initial algebras, final coalgebras, rational terms and term graphs. We develop a general method for obtaining finitary guarded monads that allows us to define and prove properties of the rational and term graph monads. Furthermore, our treatment of rational equations extends the traditional approach to allow right-hand sides of equations to be infinite terms, term graphs or other such coalgebraic structures. As an application, we use these generalised rational equations to sketch part of the correctness of the term graph implementation of functional programming languages.