E-recursion is a notion of generalized computability theory which seeks to extend computations to allow arbitrary sets as inputs. In contrast with e.g. $ \alpha$ -recursion, it disallows unbounded search: halting computations are witnessed by well-foundedness of related trees, while for many values of $ \alpha$ well-foundedness of a given computable tree is $ \Pi^0_1$ over $ L_\alpha$ . This leads to a really interesting behavior, with a number of odd properties.
I’m interested in the foundations. The standard definition of E-recursion is in terms of a set of schemes. Normann’s original article on the subject is quite good, and presents this definition with solid motivation (another good source is the last part of Sacks’ book, which certainly has much more material, but I’ve found it to be quite terse and not as good motivation-wise). However, definitions via schemes often (for me at least) leave some doubt as to whether they define the “right” notion of computability: how do we know we aren’t “missing” more schemes?
Normann mentions, excitingly to me, that Moschovakis independently discovered essentially the same thing but via an inductive definability approach. This seems really interesting to me; unfortunately, as far as I can tell Moschovakis’ paper never appeared (possibly because it was subsumed, modulo the definition, by Normann’s).
My question is:
Does anyone have Moschovakis’ text on the subject, or know what his definition was?
✓ Extra quality
ExtraProxies brings the best proxy quality for you with our private and reliable proxies
✓ Extra anonymity
Top level of anonymity and 100% safe proxies – this is what you get with every proxy package
✓ Extra speed
1,ooo mb/s proxy servers speed – we are way better than others – just enjoy our proxies!
USA proxy location
We offer premium quality USA private proxies – the most essential proxies you can ever want from USA
Our proxies have TOP level of anonymity + Elite quality, so you are always safe and secure with your proxies
Use your proxies as much as you want – we have no limits for data transfer and bandwidth, unlimited usage!
Superb fast proxy servers with 1,000 mb/s speed – sit back and enjoy your lightning fast private proxies!
99,9% servers uptime
Alive and working proxies all the time – we are taking care of our servers so you can use them without any problems
No usage restrictions
You have freedom to use your proxies with every software, browser or website you want without restrictions
Perfect for SEO
We are 100% friendly with all SEO tasks as well as internet marketing – feel the power with our proxies
Buy more proxies and get better price – we offer various proxy packages with great deals and discounts
We are working 24/7 to bring the best proxy experience for you – we are glad to help and assist you!