Explore: Coinduction (mathematics)

science, coinduction is a technique for defining and proving properties of systems of concurrent interacting objects. Coinduction is the mathematical dual

inductive types), the calculus of (co)inductive constructions (which adds coinduction), and the predicative calculus of inductive constructions (which removes

Czechoslovak Mathematical Journal. 7 (3): 323–357. doi:10.21136/CMJ.1957.100254. Sangiorgi, Davide (2011). "Origins of bisimulation and coinduction". In Sangiorgi

systems is coalgebraic modal logic.[citation needed] Initial algebra Coinduction Coalgebra B. Jacobs and J. Rutten, A Tutorial on (Co)Algebras and (Co)Induction

Paradox: Mathematics, Logic, Philosophy, Walter de Gruyter, ISBN 978-3-11-019968-0 Sangiorgi, Davide (2011), "Origins of bisimulation and coinduction", in

logic, automated coinduction., and for founding Runtime Verification, Inc. and Pi Squared, Inc.. Roșu received a B.A. in Mathematics in 1995 and an M

ISBN 90-277-1943-8. Forster, Thomas (2003). "Better-quasi-orderings and coinduction". Theoretical Computer Science. 309 (1–3): 111–123. doi:10.1016/S0304-3975(03)00131-2

dual of a paramorphism and an extension of the concept of anamorphism (coinduction). Whereas a paramorphism models primitive recursion over an inductive

here is the one that says that S < T whenever S has fewer nodes than T. Coinduction Initial algebra Loop invariant, analog for loops Hopcroft, John E.; Rajeev

f_{*}M=\mathrm {Hom} _{S}(R,M)} is an injective right R-module. Thus, coinduction over f produces injective R-modules from injective S-modules. For quotient