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Tail recursion modulo cons is a generalization of tail-recursion optimization introduced by David H. D. Warren [9] in the context of compilation of Prolog, seen as an explicitly set once language. It was described (though not named) by Daniel P. Friedman and David S. Wise in 1974 [ 10 ] as a LISP compilation technique.
The significance of tail recursion is that when making a tail-recursive call (or any tail call), the caller's return position need not be saved on the call stack; when the recursive call returns, it will branch directly on the previously saved return position. Therefore, in languages that recognize this property of tail calls, tail recursion ...
Every call in CPS is a tail call, and the continuation is explicitly passed. Using CPS without tail call optimization (TCO) will cause not only the constructed continuation to potentially grow during recursion, but also the call stack. This is usually undesirable, but has been used in interesting ways—see the Chicken Scheme compiler. As CPS ...
The limit of the ratio of successive terms of an -nacci series tends to a root of the equation + = (OEIS: A103814, OEIS: A118427, OEIS: A118428). An alternate recursive formula for the limit of ratio r {\displaystyle r} of two consecutive n {\displaystyle n} -nacci numbers can be expressed as
On finite lists, that means that left-fold and reverse can be composed to perform a right fold in a tail-recursive way (cf. 1 +> (2 +> (3 +> 0)) == ((0 <+ 3) <+ 2) <+ 1), with a modification to the function f so it reverses the order of its arguments (i.e., foldr f z == foldl (flip f) z. foldl (flip (:)) []), tail-recursively building a ...
Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees.
Tail-recursive algorithms can be converted to iteration through a process called tail-recursion elimination or tail-call optimization. Deforestation ( data structure fusion) In languages where it is common for a sequence of transformations to be applied to a list, deforestation attempts to remove the construction of intermediate data structures.
3 Tail recursion modulo cons vs usage of accumulators in general. 1 comment. 4 Tail recursion modulo cons inconsistency. 2 comments. 5 Factorial example. 2 comments.