Cardinalities of finite relations in Coq

with Insa Stucke and Damien Pous .

conference paper, in ITP 2016

In this paper we present an extension of a Coq library for relation algebras and related algebraic structures. So far, the library did not provide any tools about the cardinalities of relations. Thus we add an algebraic axiomatisation of cardinalities. Its point-free nature makes it possible to reason about cardinal purely algebraically, which is well- suited for mechanisation. We present several applications, in the area of graph theory and program verification.

@inproceedings{bps16,
    title = "Cardinalities of finite relations in Coq",
    author = "{Paul Brunet}, {Insa Stucke}, {Damien Pous}",
    year = 2016,
    booktitle = "ITP",
    doi = "10.1007/978-3-319-43144-4_29"
}

Links

	Permanent link
	Preprint on HAL
	Paper on Springer Link

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