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.
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with Damien Pous. |
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| Algebras of relations: from algorithms to formal proofs (in Université de Lyon 2016) | More | |
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