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(Leftmost-Outermost) Beta Reduction is Invariant, Indeed [PDF]

open access: yesLogical Methods in Computer Science, 2016
Slot and van Emde Boas' weak invariance thesis states that reasonable machines can simulate each other within a polynomially overhead in time. Is lambda-calculus a reasonable machine?
Beniamino Accattoli, Ugo Dal Lago
doaj   +7 more sources

Is Every Cognitive Phenomenon Computable?

open access: yesMathematics
According to the Church–Turing thesis, the limit of what is computable is bounded by Turing machines. Following from this, given that general computable functions formally describe the notion of recursive mechanisms, it is sometimes argued that every ...
Fernando Rodriguez-Vergara   +1 more
doaj   +2 more sources

The non-normal abyss in Kleene's computability theory [PDF]

open access: yesConference on Computability in Europe, 2023
Kleene's computability theory based on his S1-S9 computation schemes constitutes a model for computing with objects of any finite type and extends Turing's `machine model' which formalises computing with real numbers.
Sam Sanders
semanticscholar   +1 more source

Beta reduction is invariant, indeed [PDF]

open access: yesCSL-LICS, 2014
Slot and van Emde Boas' weak invariance thesis states that reasonable machines can simulate each other within a polynomially overhead in time. Is λ-calculus a reasonable machine? Is there a way to measure the computational complexity of a λ-term?
Beniamino Accattoli, Ugo Dal Lago
semanticscholar   +1 more source

The Complexity of Angel-Daemons and Game Isomorphism

open access: yesBull. EATCS, 2012
The analysis of the computational aspects of strategic situations is a basic field in Computer Sciences. Two main topics related to strategic games have been developed. First, introduction and analysis of a class of games (so called angel/daemon games)
Alina García-Chacón
semanticscholar   +1 more source

Causation: Objective or Subjective?

open access: yesProbabilistic and Causal Inference, 2022
W. Spohn
semanticscholar   +1 more source

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