在函数式编程中,这种语义可以通过let来实现:let singleton = someExpensiveComputation in mainComputation --or in lambda notation: (\singleton -> mainComputation) someExpensiveComputation 通过let-绑定,我们可以通过in块中的任意代码来处理单例。mainComputation中出现的singleton都将指向同一个实例。
Related work in this area is scarce. Beeson’s Otter-λ =-=[3]-=- extends the first-order theorem prover Otter [16] with λ-notation. This combination does not yield higherorder logic, and Otter can no longer be regarded as a high-performance ATP. The proposal is fo......
Some extensional models for combinatory logics and λ-calculi Doctoral Thesis (1971) Utrecht Google Scholar 2. N.G.de Bruijn The mathematical language AUTOMATH, its usage, and some of its extensions Symposium on Automatic Demonstration (2nd Ed.), Lecture Notes in Mathematics, Vol. 125, Versaill...
Definite descriptions are widely discussed in linguistics and formal semantics, but their formal treatment in logic is surprisingly modest. In this article
Unlike lambda forms in other languages, where they add functionality, Python lambdas are only a shorthand notation if you’re too lazy to define a function. (Source)Nevertheless, don’t let this statement deter you from using Python’s lambda. At first glance, you may accept that a lambda ...
had visualised nesting REDUCE but, when I followed the logic of partitioning the problem to the extreme, I finished with a scalar calculation that does not require REDUCE. That was when I decided to dig back and resurrect the binary tree idea that I had used in the pre-helper-function ...
Despite the reverence lisp programmers have for lambda, there is nothing inherently special about the notation. As we will see, lambda is just one of many possible ways to express this sort of variable naming. In particular, we will see that macros allow us to customise the renaming of varia...
We pass a constructor using the :: notation and the constructor is denoted by the ‘new’ function. The third set is a partitioningBy collector. This is like groupingBy, but instead of passing a function to specify the key, we pass a predicate which determines the key (true or false) ...
This last equation becomes in convenient vector notation (λ x.f[ x]) x = f[ x]; more generally one has (λ x.f[ x]) N = f[ N]. Chapter 2 Conversion In this chapter, the λ-calculus will be introduced formally. 2.1. Definition. The set of λ-terms (notation Λ) is built ...
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