breadth
发表于 2025-3-28 18:38:48
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灰心丧气
发表于 2025-3-28 19:17:45
Formal Verification of Completeness Theorem in Grundlagen der Geometrietinuity axioms and completeness theorem from . using the Coq proof assistant. The continuity axioms, more intricate than Hilbert’s others, involve a complex logical structure due to the introduction of natural numbers and infinite sets. Leveraging Coq’s Calculus of Inductive Construction (CIC), we s
ANTIC
发表于 2025-3-28 23:47:32
Formalizing the Independence of Propositional Logic Axiom System in Coqation for the reliability of mathematical theorems. In this paper, we use the Coq interactive theorem prover to formalize the propositional formulas, axiom system, and axiom independence of propositional logic. We use arithmetic interpretation to prove the independence of each set of axiom patterns,
MURKY
发表于 2025-3-29 05:03:02
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使苦恼
发表于 2025-3-29 10:41:59
Formalizing the Equivalence of Formal Systems in Propositional Logic in Coqght. Axiom systems and natural deduction systems represent two distinct formal systems within propositional logic. The equivalence between axiom systems and natural deduction systems plays a crucial role in maintaining the consistency of the reasoning systems, ensuring the accuracy and validity of t
有常识
发表于 2025-3-29 12:41:59
Formalization of the Filter Extension Principle (FEP) in Coqcipal ultrafilters. Non-principal ultrafilters find widespread applications in logic, set theory, topology, model theory, and especially non-standard extensions of algebraic structures. Since non-principal ultrafilters are challenging to construct directly, the Filter Extension Principle, stemming f
女上瘾
发表于 2025-3-29 19:37:34
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deactivate
发表于 2025-3-29 19:51:30
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男生戴手铐
发表于 2025-3-30 01:46:58
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睨视
发表于 2025-3-30 07:47:03
Off-Policy ,-Gain Control for Discrete-Time Linear Systems with Dropout networked control systems. The algorithm is specifically proposed to handle information dropout in the feedback loop without knowledge of system dynamics. To deal with this problem, first, we utilize the Smith predictor to overcome the effects of dropout. Then, we obtain the optimal solution by sol