Results 41 to 50 of about 1,698,712 (321)
First-order modal logic in the necessary framework of objects [PDF]
I consider the first-order modal logic which counts as valid those sentences which are true on every interpretation of the non-logical constants. Based on the assumptions that it is necessary what individuals there are and that it is necessary which ...
Fritz, Peter
core +1 more source
Explaining the undecidability of first-order logic
Turing proved the unsolvability of the decision problem for first-order logic (Entscheidungsproblem) in his famous paper On Computable Numbers, with an Application to the Entscheidungsproblem.
Timm Lampert, Anderson Nakano
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Automata with Nested Pebbles Capture First-Order Logic with Transitive Closure [PDF]
String languages recognizable in (deterministic) log-space are characterized either by two-way (deterministic) multi-head automata, or following Immerman, by first-order logic with (deterministic) transitive closure.
Joost Engelfriet, Hendrik Jan Hoogeboom
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Ultraproducts and Related Constructions
In this work, we survey some research directions in which the ultraproduct construction and methods based on ultrafilters play significant roles. Rather different areas of mathematics have been considered: topics we are reviewing here include some ...
Gábor Sági
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A definability theorem for first order logic [PDF]
For any first order theory T we construct a Boolean valued model M, in which precisely the T--provable formulas hold, and in which every (Boolean valued) subset which is invariant under all automorphisms of M is definable by a first order formula.
Carsten Butz +3 more
core +8 more sources
First-Order Logic Foundation of Relativity Theories [PDF]
Motivation and perspective for an exciting new research direction interconnecting logic, spacetime theory, relativity--including such revolutionary areas as black hole physics, relativistic computers, new cosmology--are presented in this paper.
Madarasz, Judit X. +2 more
core +6 more sources
The First-Order Hypothetical Logic of Proofs [PDF]
The Propositional Logic of Proofs (LP) is a modal logic in which the modality □A is revisited as [[t]]A , t being an expression that bears witness to the validity of A .
Bonelli, Eduardo Augusto +1 more
core +1 more source
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
wiley +1 more source
Structures of Multi-line Standard Contradictions in First-order Logic [PDF]
Automatic reasoning constitutes a critical research domain in artificial intelligence,where inference rules play a pivotal role in determining its efficiency.Deductive reasoning based on the separation of contradictions represents a reliable and complete
ZENG Dan, HE Xingxing, LI Yingfang, LI Tianrui
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There are three main families of inference algorithms in first-order logic: direct inference and its application to deductive databases and production systems; backward inference procedures and logic programming systems; theorem proving systems based on ...
A. М. Sobol +2 more
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