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We develop a classical propositional logic for reasoning about combinatory logic. We define its syntax, axiomatic system and semantics. The syntax and axiomatic system are presented based on classical propositional logic, with typed combinatory terms as ...
Kašterović, Simona, Ghilezan, Silvia
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Bounded Combinatory Logic [PDF]
In combinatory logic one usually assumes a fixed set of basic combinators (axiom schemes), usually K and S. In this setting the set of provable formulas (inhabited types) is PSPACE-complete in simple types and undecidable in intersection types.
Urzyczyn, Pawel +3 more
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The lambda-calculus is destructive: its main computational mechanism, beta reduction, destroys the redex, which makes replaying the computational steps impossible.
Wiklicky H. +2 more
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Extension of combinatory logic to a theory of combinatory representation [PDF]
In theoretical computer science and mathematics the models of combinatory logic are of significance in various ways. In particular within the discipline algebra, varieties are represented in the graph models of Engeler using some set of equations.
Weibel, Trudy
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Intersection types for combinatory logic [PDF]
Two different translations of the usual formulation of intersection types for λ-calculus into combinatory logic are proposed; in the first one the rule (⩽) is unchanged, while in the second one the rule (⩽) is replaced by three new rules and four axiom ...
J.Roger Hindley +3 more
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Inductive synthesis of logic programs by composition of combinatory program schemes
Based on a variable-free combinatory form of definite clause logic programs we outline a methodology and supporting program environment COMBINDUCE for inducing well-moded logic programs from examples.
Nilsson, Jorgen Fischer. +1 more
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User Support for the Combinator Logic Synthesizer Framework [PDF]
Usability is crucial for the adoption of software development technologies. This is especially true in development stages, where build processes fail, because software is not yet complete or was incompletely modified.
Jan Bessai, Anna Vasileva
doaj +1 more source
Equipotential Space in Housing as a Strategy for Adaptability
Architecture must provide answers, in the domestic realm, to the constant and vertiginous change in contemporary society’s needs and lifestyles. For this reason, we propose to examine the concept of 'adaptability' in housing based on the study of a ...
José Luis Bezos Alonso
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Derivation Lengths Classification of G\"odel's T Extending Howard's Assignment [PDF]
Let T be Goedel's system of primitive recursive functionals of finite type in the lambda formulation. We define by constructive means using recursion on nested multisets a multivalued function I from the set of terms of T into the set of natural numbers ...
Gunnar Wilken, Andreas Weiermann
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Asymptotically almost all \lambda-terms are strongly normalizing [PDF]
We present quantitative analysis of various (syntactic and behavioral) properties of random \lambda-terms. Our main results are that asymptotically all the terms are strongly normalizing and that any fixed closed term almost never appears in a random ...
René David +5 more
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