[PDF] Top 20 A Dependently Typed Ambient Calculus

... of ambient names, means that n may be communicated inside any ambient in E , and dually, that any ambient in L may be communicated within n ... See full document

... Conclusion Name dependent typing: simple and intuitive types against “nasty” typing rules; still relatively easy, yet more flexible and expressive than groups; sensible application: acce[r] ... See full document

... Figure 2.4 presents the typing rules related to variables, universes, and functions. Except for the consistency classifiers and the presence of general recursion, these rules resemble those of other dependently ... See full document

... The eld of functional programming has undergone two major evolutions in the last few decades. The rst change is that whereas two decades ago a functional program usually ran multiple orders of magnitude slower than its ... See full document

... rules are a convenient means of specifying the system, they are not well suited to implementation on a machine. The crux of the problem lies in the potential use of the WfConv rule at any point and the term e to convert ... See full document

... core calculus of terms is embedded in a ‘development calculus’, which is where the hole-bindings are to be found—a core term in the scope of a hole may nonetheless refer to that ...development ... See full document

... study typically remain stable —in so far as they are independent of human designs. Our strategy here is to tackle just two aspects of mobile systems simultaneously: mobile locality and mobile connectivity. Already this ... See full document

... strongly typed, strongly specified program- ming disciplines and language designs – we have found in prelimi- nary work (Scherer 2013) potential use cases in dependently typed ... See full document

... for dependently typed languages. We propose a calculus that translates type inference and term synthesis problems in a dependently typed language to a logic program and a goal in the ... See full document

... A type checker for λ-calculus To conclude this section on views, let us look at a somewhat bigger example: a type checker for simply typed λ-calculus. This example is due to Conor McBride [5] and was ... See full document

... A similar issue due to the synchronous foundations re-appears when we investi- gate options for achieving provable safety guarantees of distributed programs (in languages based on process calculi). A state of the art ... See full document

... We have also found that the study of F <: raises semantic questions of independent interest. A major concern in this paper is an equational theory for F <: terms. The equational axioms for most systems of ... See full document

... Abstract. Using game semantics, we investigate the problem of verifying con- textual equivalences in Interface Middleweight Java (IMJ), an imperative object calculus in which program phrases are typed using ... See full document

... Thus we see that the canonical untyped language, L{ λ } , which by dint of terminology stands in opposition to typed languages, turns out to be but a typed language after all. Rather than eliminating types, ... See full document

... Our implementation proves an equation a = b in three steps. First, we erase all annotations from the input terms and explicitly mark places where the congruence rule can be applied, using an operation called labelling. ... See full document

... Finally, there have been several attempts to relate π-calculus to proof nets, one approach to the semantics of linear logic. Honda and Laurent [2010] demon- strate a two-way correspondence between proof nets for ... See full document

... the typed lambda calculus is to interpret types as objects and terms as morphisms of a category ...the calculus is based on the process of substitution, for which we do not have any immediate ... See full document

... The theorem says essentially that process interaction happens in type-consistent ways, and never generates undefined substitutions. In addition, one may wish to prove other properties for reduction, and consequently ... See full document

... In (Atkey, 2006) we demonstrated how to use our parameterised notions of com- putation to interpret a language with linear types. We take Hofmann’s LFPL as a prototypical linearly typed language; this language is ... See full document

... Positive or negative velocity indicates how fast an object moves AND indicates the direction the object moves (rise, fall, forward, backward, open, close, etc).Eventually we will be st[r] ... See full document