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Infinite \(\lambda\)-calculus and types
1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ALESSANDRO BERARDUCCI +1 more
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Computational lambda-calculus and monads
[1989] Proceedings. Fourth Annual Symposium on Logic in Computer Science, 2003The lambda -calculus is considered a useful mathematical tool in the study of programming languages. However, if one uses beta eta -conversion to prove equivalence of programs, then a gross simplification is introduced. The author gives a calculus based on a categorical semantics for computations, which provides a correct basis for proving equivalence ...
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Lambda-Calculus with Director Strings
Applicable Algebra in Engineering, Communication and Computing, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fernandez, M, Mackie, I, Sinot, F-R
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Perpetual reductions in \(\lambda\)-calculus
Information and Computation, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
van Raamsdonk, F. +3 more
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2018
The λ-calculus is, at heart, a simple notation for functions and application. The main ideas are applying a function to an argument and forming functions by abstraction. The syntax of basic λ-calculus is quite sparse, making it an elegant, focused notation for representing functions. Functions and arguments are on a par with one another.
Alama, Jesse, Korbmacher, J.
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The λ-calculus is, at heart, a simple notation for functions and application. The main ideas are applying a function to an argument and forming functions by abstraction. The syntax of basic λ-calculus is quite sparse, making it an elegant, focused notation for representing functions. Functions and arguments are on a par with one another.
Alama, Jesse, Korbmacher, J.
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Solving Equations in Lambda-Calculus
1989Abstract Part 1 reviews principal solvable and unsolvable equations and equation systems encountered in λ-calculus and Combinatory Logic. Particular emphasis is given to the solvability of discriminability, separability and X-separability problems. All these problems are special cases of (and are improved by) the predicate “F is X-weakly separable ...
C. Bohm, PIPERNO, Adolfo, TRONCI, Enrico
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Nonmodularity Results for Lambda Calculus
Fundamenta Informaticae, 2001The variety (equational class) of lambda abstraction algebras was introduced to algebraize the untyped lambda calculus in the same way cylindric and polyadic algebras algebraize the first-order predicate logic. In this paper we prove that the lattice of lambda theories is not modular and that the variety generated by the term algebra of a semi ...
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Resource Operators for lambda-calculus
2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kesner, Delia, Lengrand, Stéphane
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