[isabelle-dev] Factorial ring
florian.haftmann at informatik.tu-muenchen.de
Thu Mar 10 11:18:57 CET 2016
since 4a5b81ff5992 in src/HOL/Number_Theory/Factorial_Ring.thy, there is
an abstract formalization of an factorial ring with a constructive
factorization a :: 'a => 'a multiset option
Maybe other algebraists can comment on this. I would appreciate if we
can use this is a base to push abstract algebra forward.
Two remarks have to be made:
a) The development has no auxiliary operations; maybe borrowing ideas
like multiplicity and prime_factors from UniqueFactorization can turn
proofs more compact.
b) In private discussion there was the idea to define is_prime
generically in class algebraic_semidom, rather than to provide it is a
class parameter. Class factorial_semiring would then just assume
finite_divisors (or maybe there is a more appropriate criterion?).
-------------- next part --------------
A non-text attachment was scrubbed...
Size: 836 bytes
Desc: OpenPGP digital signature
More information about the isabelle-dev