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Open call-by-value
The elegant theory of the call-by-value lambda-calculus relies on weak evaluation and
closed terms, that are natural hypotheses in the study of programming languages. To model …
closed terms, that are natural hypotheses in the study of programming languages. To model …
A semantical and operational account of call-by-value solvability
In Plotkin's call-by-value lambda-calculus, solvable terms are characterized syntactically by
means of call-by-name reductions and there is no neat semantical characterization of such …
means of call-by-name reductions and there is no neat semantical characterization of such …
Call-by-value solvability, revisited
In the call-by-value lambda-calculus solvable terms have been characterised by means of
call-by-name reductions, which is disappointing and requires complex reasonings. We …
call-by-name reductions, which is disappointing and requires complex reasonings. We …
Genericity through stratification
A fundamental issue in the λ-calculus is to find appropriate notions for meaningfulness. It is
well-known that in the call-by-name λ-calculus (CbN) the meaningful terms can be identified …
well-known that in the call-by-name λ-calculus (CbN) the meaningful terms can be identified …
An abstract factorization theorem for explicit substitutions
B Accattoli - … on Rewriting Techniques and Applications (RTA'12), 2012 - inria.hal.science
We study a simple form of standardization, here called factorization, for explicit substitutions
calculi, ie lambda-calculi where beta-reduction is decomposed in various rules. These …
calculi, ie lambda-calculi where beta-reduction is decomposed in various rules. These …
On the invariance of the unitary cost model for head reduction
The lambda-calculus is a widely accepted computational model of higher-order functional
programs, yet there is not any direct and universally accepted cost model for it. As a …
programs, yet there is not any direct and universally accepted cost model for it. As a …
A quantitative understanding of pattern matching
Atomic lambda calculus: A typed lambda-calculus with explicit sharing
An explicit-sharing lambda-calculus is presented, based on a Curry-Howard-style
interpretation of the deep inference proof formalism. Duplication of subterms during …
interpretation of the deep inference proof formalism. Duplication of subterms during …
Meaningfulness and genericity in a subsuming framework
This paper studies the notion of meaningfulness for a unifying framework called dBang-
calculus, which subsumes both call-by-name (dCbN) and call-by-value (dCbV). We first …
calculus, which subsumes both call-by-name (dCbN) and call-by-value (dCbV). We first …
Preservation of strong normalisation modulo permutations for the structural lambda-calculus
Inspired by a recent graphical formalism for lambda-calculus based on linear logic
technology, we introduce an untyped structural lambda-calculus, called lambda j, which …
technology, we introduce an untyped structural lambda-calculus, called lambda j, which …