Results 11 to 20 of about 49,025 (266)

Compact manifolds with computable boundaries [PDF]

open access: yesLogical Methods in Computer Science, 2013
We investigate conditions under which a co-computably enumerable closed set in a computable metric space is computable and prove that in each locally computable computable metric space each co-computably enumerable compact manifold with computable ...
Zvonko Iljazovic
doaj   +1 more source

Modal meet-implication logic [PDF]

open access: yesLogical Methods in Computer Science, 2022
We extend the meet-implication fragment of propositional intuitionistic logic with a meet-preserving modality. We give semantics based on semilattices and a duality result with a suitable notion of descriptive frame.
Jim de Groot, Dirk Pattinson
doaj   +1 more source

Theories of real addition with and without a predicate for integers [PDF]

open access: yesLogical Methods in Computer Science, 2021
We show that it is decidable whether or not a relation on the reals definable in the structure $\langle \mathbb{R}, +,
Alexis Bès, Christian Choffrut
doaj   +1 more source

The logical strength of B\"uchi's decidability theorem [PDF]

open access: yesLogical Methods in Computer Science, 2019
We study the strength of axioms needed to prove various results related to automata on infinite words and B\"uchi's theorem on the decidability of the MSO theory of $(N, {\le})$.
Leszek Kołodziejczyk   +3 more
doaj   +1 more source

A modular construction of type theories [PDF]

open access: yesLogical Methods in Computer Science, 2023
The lambda-Pi-calculus modulo theory is a logical framework in which many type systems can be expressed as theories. We present such a theory, the theory U, where proofs of several logical systems can be expressed. Moreover, we identify a sub-theory of U
Frédéric Blanqui   +4 more
doaj   +1 more source

On the algebraic structure of Weihrauch degrees [PDF]

open access: yesLogical Methods in Computer Science, 2018
We introduce two new operations (compositional products and implication) on Weihrauch degrees, and investigate the overall algebraic structure. The validity of the various distributivity laws is studied and forms the basis for a comparison with similar ...
Vasco Brattka, Arno Pauly
doaj   +1 more source

About the range property for H [PDF]

open access: yesLogical Methods in Computer Science, 2014
Recently, A. Polonsky has shown that the range property fails for H. We give here some conditions on a closed term that imply that its range has an infinite cardinality.
René David, Karim Nour
doaj   +1 more source

Small Stone in Pool [PDF]

open access: yesLogical Methods in Computer Science, 2014
The Stone tautologies are known to have polynomial size resolution refutations and require exponential size regular refutations. We prove that the Stone tautologies also have polynomial size proofs in both pool resolution and the proof system of regular ...
Samuel R. Buss   +1 more
doaj   +1 more source

The extensional realizability model of continuous functionals and three weakly non-constructive classical theorems [PDF]

open access: yesLogical Methods in Computer Science, 2015
We investigate wether three statements in analysis, that can be proved classically, are realizable in the realizability model of extensional continuous functionals induced by Kleene's second model $K_2$.
Dag Normann
doaj   +1 more source

Representations of measurable sets in computable measure theory [PDF]

open access: yesLogical Methods in Computer Science, 2014
This article is a fundamental study in computable measure theory. We use the framework of TTE, the representation approach, where computability on an abstract set X is defined by representing its elements with concrete "names", possibly countably ...
Klaus Weihrauch   +1 more
doaj   +1 more source

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