- Abstract:
-
Say you want to prove something about an infinite data-structure, such as a stream or an infinite tree, but you would rather not subject yourself to coinduction. The unique fixed-point principle is an easyto- use, calculational alternative. The proof technique rests on the fact that certain recursion equations have unique solutions; if two elements of a coinductive type satisfy the same equation of this kind, then they are equal. In this paper we precisely characterize the conditions that gua...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1145/2034574.2034821
-
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- Volume:
- 46
- Issue:
- 9
- Pages:
- 359-371
- Publication date:
- 2011-09-05
- DOI:
- ISSN:
-
0362-1340
- URN:
-
uuid:4f5ef44e-1c6c-4b2f-a77e-c2d8c019f13a
- Source identifiers:
-
328771
- Local pid:
- pubs:328771
- ISBN:
- 9781450308656
- Copyright date:
- 2011
Conference
Proving the Unique Fixed-Point Principle Correct An Adventure with Category Theory
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