Inductive Reasoning About Effectful Data Types

Andrzej Filinski; Kristian Støvring

doi:10.1145/1291151.1291168

Inductive Reasoning About Effectful Data Types

Andrzej Filinski, Kristian Støvring

Department of Computer Science

14 Citations (Scopus)

Abstract

We present a pair of reasoning principles, definition and proof by rigid induction, which can be seen as proper generalizations of lazy-datatype induction to monadic effects other than partiality. We further show how these principles can be integrated into logical-relations arguments, and obtain as a particular instance a general and principled proof that the success-stream and failure-continuation models of backtracking are equivalent. As another application, we present a monadic model of general search trees, not necessarily traversed depth-first. The results are applicable to both lazy and eager languages, and we emphasize this by presenting most examples in both Haskell and SML.

Original language	English
Title of host publication	ICFP 07 : Proceedings of the 2007 ACM SIGPLAN International Conference on Functional Programming, Freiburg, Germany, October 1-3, 2007
Publisher	Association for Computing Machinery
Publication date	2007
Pages	97-110
ISBN (Print)	978-1-59593-815-2
DOIs	https://doi.org/10.1145/1291151.1291168
Publication status	Published - 2007
Event	ACM/SIGPLAN International Conference on Functional Programming - Freiburg, Germany Duration: 1 Oct 2007 → 3 Oct 2007 Conference number: 12

Conference

Conference	ACM/SIGPLAN International Conference on Functional Programming
Number	12
Country/Territory	Germany
City	Freiburg
Period	01/10/2007 → 03/10/2007

Series	SIGPLAN Notices
Number	42 (9)
ISSN	0362-1340

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10.1145/1291151.1291168

Cite this

Inductive Reasoning About Effectful Data Types. / Filinski, Andrzej; Støvring, Kristian.
ICFP 07: Proceedings of the 2007 ACM SIGPLAN International Conference on Functional Programming, Freiburg, Germany, October 1-3, 2007. Association for Computing Machinery, 2007. p. 97-110 (SIGPLAN Notices; No. 42 (9)).

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Filinski, A & Støvring, K 2007, Inductive Reasoning About Effectful Data Types. in ICFP 07: Proceedings of the 2007 ACM SIGPLAN International Conference on Functional Programming, Freiburg, Germany, October 1-3, 2007. Association for Computing Machinery, SIGPLAN Notices, no. 42 (9), pp. 97-110, ACM/SIGPLAN International Conference on Functional Programming, Freiburg, Germany, 01/10/2007. https://doi.org/10.1145/1291151.1291168

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Inductive Reasoning About Effectful Data Types

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