Zobrazeno 1 - 10
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pro vyhledávání: '"Gorman, Alexi Block"'
Autor:
Bell, Jason, Gorman, Alexi Block
This paper concerns the expansion of the real ordered additive group by a predicate for a subset of $[0,1]$ whose base-$r$ representations are recognized by a B\"uchi automaton. In the case that this predicate is closed, a dichotomy is established fo
Externí odkaz:
http://arxiv.org/abs/2311.11162
Autor:
Gorman, Alexi Block, Schulz, Christian
This paper seeks to build on the extensive connections that have arisen between automata theory, combinatorics on words, fractal geometry, and model theory. Results in this paper establish a characterization for the behavior of the fractal geometry o
Externí odkaz:
http://arxiv.org/abs/2205.02915
This paper answers several open questions around structures with o-minimal open core. We construct an expansion of an o-minimal structure $\mathcal{R}$ by a unary predicate such that its open core is a proper o-minimal expansion of $\mathcal{R}$. We
Externí odkaz:
http://arxiv.org/abs/2101.02651
Autor:
Gorman, Alexi Block
This paper provides a full characterization for when the expansion of a complete o-minimal theory by a unary predicate that picks out a divisible dense and codense subgroup has a model companion. This result is motivated by criteria and questions int
Externí odkaz:
http://arxiv.org/abs/2003.06366
Autor:
Gorman, Alexi Block, Hieronymi, Philipp, Kaplan, Elliot, Meng, Ruoyu, Walsberg, Erik, Wang, Zihe, Xiong, Ziqin, Yang, Hongru
Publikováno v:
Logical Methods in Computer Science, Volume 16, Issue 1 (February 14, 2020) lmcs:5301
Following Chaudhuri, Sankaranarayanan, and Vardi, we say that a function $f:[0,1] \to [0,1]$ is $r$-regular if there is a B\"{u}chi automaton that accepts precisely the set of base $r \in \mathbb{N}$ representations of elements of the graph of $f$. W
Externí odkaz:
http://arxiv.org/abs/1901.03366
This paper proposes a new setup for studying pairs of structures. This new framework includes many of the previously studied classes of pairs, such as dense pairs of o-minimal structures, lovely pairs, fields with Mann groups, and $H$-structures, but
Externí odkaz:
http://arxiv.org/abs/1806.00030
Akademický článek
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Autor:
Gorman, Alexi Block, Shiao, Wing Yan
The notion of clean rings and 2-good rings have many variations, and have been widely studied. We provide a few results about two new variations of these concepts and discuss the theory that ties these variations to objects and properties of interest
Externí odkaz:
http://arxiv.org/abs/1512.04640
Publikováno v:
Acta Arith. 175 (2016), no. 1, 71-100
Define the sequence $\{b_n\}$ by $b_0=1,b_1=1, b_2=2,b_3=1$, and $$b_n=\begin{cases} \frac{b_{n-1}b_{n-3}-b_{n-2}^2}{b_{n-4}}&\textrm{if}~ n\not\equiv 0\pmod 3, \frac{b_{n-1}b_{n-3}-3b_{n-2}^2}{b_{n-4}}&\textrm{if}~ n\equiv 0\pmod 3. We relate this s
Externí odkaz:
http://arxiv.org/abs/1508.02464
Autor:
Gorman, Alexi Block
Publikováno v:
Mathematical Intelligencer; Jun2024, Vol. 46 Issue 2, p202-204, 3p