A discrimination algorithm inside λ-β-calculus
نویسندگان
چکیده
منابع مشابه
The structural λ-calculus
Inspired by a recent graphical formalism for λ-calculus based on Linear Logic technology, we introduce an untyped structural λ-calculus, called λj, which combines action at a distance with exponential rules decomposing the substitution by means of weakening, contraction and dereliction. Firstly, we prove fundamental properties such as confluence and preservation of β-strong normalisation. Secon...
متن کاملIntersection Typed λ - calculus
The aim of this paper is to discuss the design of an explicitly typed λ-calculus corresponding to the Intersection Type Assignment System (IT ), which assigns intersection types to the untyped λ-calculus. Two different proposals are given. The logical foundation of all of them is the Intersection Logic IL.
متن کاملLinear-algebraic Λ-calculus
With a view towards models of quantum computation and/or the interpretation of linear logic, we define a functional language where all functions are linear operators by construction. A small step operational semantic (and hence an interpreter/simulator) is provided for this language in the form of a term rewrite system. The linear-algebraic λ-calculus hereby constructed is linear in a different...
متن کاملThe Permutative λ-Calculus
We introduce the permutative λ-calculus, an extension of λ-calculus with three equations and one reduction rule for permuting constructors, generalising many calculi in the literature, in particular Regnier’s sigma-equivalence and Moggi’s assoc-equivalence. We prove confluence modulo the equations and preservation of beta-strong normalisation (PSN) by means of an auxiliary substitution calculus...
متن کاملThe vectorial λ-calculus
We describe a type system for the linear-algebraic λ-calculus. The type system accounts for the linear-algebraic aspects of this extension of λ-calculus: it is able to statically describe the linear combinations of terms that will be obtained when reducing the programs. This gives rise to an original type theory where types, in the same way as terms, can be superposed into linear combinations. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1979
ISSN: 0304-3975
DOI: 10.1016/0304-3975(79)90014-8