In type theory, a branch of mathematical logic, in a given typed calculus, the type inhabitation problem for this calculus is the following problem:[1] given a type and a typing environment , does there exist a -term M such that ? With an empty type environment, such an M is said to be an inhabitant of .
^Pawel Urzyczyn (1997). "Inhabitation in typed lambda-calculi (A syntactic approach)". Typed Lambda Calculi and Applications. Lecture Notes in Computer Science. Vol. 1210. Springer. pp. 373–389. doi:10.1007/3-540-62688-3_47. ISBN 978-3-540-62688-6.
In type theory, a branch of mathematical logic, in a given typed calculus, the typeinhabitation problem for this calculus is the following problem: given...
of type checking, typability, and typeinhabitation. Given a type environment Γ {\displaystyle \Gamma } , a term e {\displaystyle e} , and a type τ {\displaystyle...
Urban-type settlements (посёлок городского типа, posyolok gorodskogo tipa; pl. посёлки городского типа) is a type of smaller urban locality. This type of...
intersection type inhabitation and undecidability of rank 3 intersection typeinhabitation. Remarkably, principal typeinhabitation is decidable in polynomial...
values? Is there any example of a T? This is known as typeinhabitation. For the simply typed lambda calculus, all three questions are decidable. The...
higher-order type theory in such a way that provability of a formula in the original logic reduces to a typeinhabitation problem in the framework type theory...
Nothing – Complete absence of anything; the opposite of everything Typeinhabitation in type theory. D. Bridges and F. Richman. 1987. Varieties of Constructive...
and the question of provability became a question of non-emptiness (typeinhabitation); de Bruijn was unaware of Howard's work, and stated the correspondence...
of Proofs. His achievements include the proof that the typeinhabitation problem in simply typed lambda calculus is PSPACE-complete. Carnegie Mellon profile...
dependent type is a type whose definition depends on a value. It is an overlapping feature of type theory and type systems. In intuitionistic type theory...
present-day cities by the time period over which they have been continuously inhabited as a city. The age claims listed are generally disputed. Differences in...
type theory, a theory within mathematical logic, the bottom type of a type system is the type that is a subtype of all other types. Where such a type...
is also uninhabited for any inhabitedtype T {\displaystyle T} . If a type system contains an empty type, the bottom type must be uninhabited too, so...
mathematical logic, System U and System U− are pure type systems, i.e. special forms of a typed lambda calculus with an arbitrary number of sorts, axioms...
tail is depicted) Mug-wamp - (Canadian) giant sturgeon monster said to inhabit Lake Temiskaming in Ontario. Name is of Native origin. Monster may also...
science, homotopy type theory (HoTT) refers to various lines of development of intuitionistic type theory, based on the interpretation of types as objects to...
(also sometimes spelled "mirmillo" or "myrmillo", pl. murmillones) was a type of gladiator during the Roman Imperial age. The murmillo-class gladiator...
The simply typed lambda calculus ( λ → {\displaystyle \lambda ^{\to }} ), a form of type theory, is a typed interpretation of the lambda calculus with...
000 whales are estimated to inhabit the North Atlantic. In the Northeast Atlantic, two orca ecotypes have been proposed. Type 1 orcas consist of seven haplotypes...
petunia-type flowers. They are found across much the same region of South America as petunias, from southern Brazil across to Peru and Chile, inhabiting scrub...
of type can never have prevailed there either. Archeological evidence indicates that Indo-Europeans, or certainly Europoid physical types, inhabited the...
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