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Showing 1 to 7 of 7 for “"mathematical theorems"”.

  1. Language models for verifiable mathematical automation: Interaction, integration, and autoformalization

    Stronger automation in formal mathematical reasoning provides scalability, trust-worthiness, and accessibility: it enables efficient verification of complex proofs, reduces the likelihood of errors in intricate calculations, allows non-experts to engage with mathematical concepts, and potentially …

    cambridge Repository record for Language models for verifiable mathematical automation: Interaction, integration, and autoformalization (opens in a new tab)

  2. Stability, Efficiency, and Equity in Network Formation Games

    … formation literature, namely the development of mathematical theorems detailing the conditions for network stability.

    creighton Repository record for Stability, Efficiency, and Equity in Network Formation Games (opens in a new tab)

  3. Proof-Theoretical Aspects of Well Quasi-Orders and Phase Transitions in Arithmetical Provability

    … Friedman, aims to classify the strength of mathematical theorems by identifying the required axioms. In this framework, we focus on two classical results relative to well quasi-orders: Kruskal’s theorem and Higman’s lemma. Concerning the former, we compute the proof-theoretic ordinals of two …

    trento Repository record for Proof-Theoretical Aspects of Well Quasi-Orders and Phase Transitions in Arithmetical Provability (opens in a new tab)

  4. Experiencing mathematical proves syntax of an astrolabe

    … Science Museums. The astrolabe and the related mathematical theories, as developed in the Arabic and Persian tradition between X-XI Century, are taken as emblematic case for this analysis. The proposed solution is the design of museum spaces which translate the language of this instruments …

    mit Repository record for Experiencing mathematical proves syntax of an astrolabe (opens in a new tab)

  5. Avicenna's Philosophy of Mathematics

    … mathematics, which concerns the question of what mathematical objects (i.e., numbers and geometrical shapes) are not. Avicenna argues that mathematical objects are not independent immaterial substances. They cannot be fully separated from matter. He rejects what is now called mathematical

    cambridge Repository record for Avicenna's Philosophy of Mathematics (opens in a new tab)

  6. Novel aspects of the dynamics of binary black-hole mergers

    … a common horizon has already formed. We connect mathematical theorems with data obtained from numerical simulations and provide a first glimpse on the behavior of these surfaces in situations not accessible to analytical tools. We study electro-magnetic counterparts of super-massive binary …

    potsdam-diss Repository record for Novel aspects of the dynamics of binary black-hole mergers (opens in a new tab)