2 ms·
Certainly lambda is Turing equivalent, so sure. Seems like you could say the same for other things that are Turing equivalent, OTOH. Lukasiewicz logic [1] ; MOV
by DougMerritt 4y ago
Certainly lambda is Turing equivalent, so sure. Seems like you could say the same for other things that are Turing equivalent, OTOH. Lukasiewicz logic [1] ; MOV [2] ; Semi-Thue string rewriting [3], and so on.
But since such things usually suffer from the Turing Tarpit [4], perhaps there's one that has some kind of minimax to be ideally terse and require ideally-few steps for its Turing equivalency, similar to the way that radix 3 (closest to e) has been claimed to have been proven to be the ideally efficient representation system. [5]
(I say "claimed" simply because I recently saw a claim that there's a loophole in the usual reasoning.)
[1] http://en.wikipedia.org/wiki/%C5%81ukasiewicz_logic#Real-valued_semantics http://en.wikipedia.org/wiki/%C5%81ukasiewicz_logic#Real-val...
[2] https://en.wikipedia.org/wiki/One-instruction_set_computer https://en.wikipedia.org/wiki/One-instruction_set_computer
[3] https://en.wikipedia.org/wiki/Semi-Thue_system https://en.wikipedia.org/wiki/Semi-Thue_system
[4] https://en.wikipedia.org/wiki/Turing_tarpit https://en.wikipedia.org/wiki/Turing_tarpit
[5] https://en.wikipedia.org/wiki/Radix_economy https://en.wikipedia.org/wiki/Radix_economy