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» A typed lambda calculus with intersection types
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ICFP
2003
ACM
14 years 7 months ago
Discriminative sum types locate the source of type errors
We propose a type system for locating the source of type errors in an applied lambda calculus with ML-style polymorphism. The system is based on discriminative sum types--known fr...
Matthias Neubauer, Peter Thiemann
RTA
2007
Springer
14 years 1 months ago
Simple Proofs of Characterizing Strong Normalization for Explicit Substitution Calculi
We present a method of lifting to explicit substitution calculi some characterizations of the strongly normalizing terms of λ-calculus by means of intersection type systems. The m...
Kentaro Kikuchi
LFCS
2007
Springer
14 years 1 months ago
The Intensional Lambda Calculus
We introduce a natural deduction formulation for the Logic of Proofs, a refinement of modal logic S4 in which the assertion PA is replaced by [[s]]A whose intended reading is “s...
Sergei N. Artëmov, Eduardo Bonelli
TOCL
2012
235views Formal Methods» more  TOCL 2012»
11 years 10 months ago
Topological and Simplicial Models of Identity Types
racting these leads us to introduce the notion of a path object category. This is a relatively simple axiomatic framework, which is nonetheless sufficiently strong to allow the con...
Benno van den Berg, Richard Garner
CORR
2006
Springer
99views Education» more  CORR 2006»
13 years 7 months ago
An Embedding of the BSS Model of Computation in Light Affine Lambda-Calculus
This paper brings together two lines of research: implicit characterization of complexity classes by Linear Logic (LL) on the one hand, and computation over an arbitrary ring in t...
Patrick Baillot, Marco Pedicini