Translating SUMO-K to Higher-Order Set Theory

no code implementations • 13 May 2023 • Chad Brown, Adam Pease, Josef Urban

We describe a translation from a fragment of SUMO (SUMO-K) into higher-order set theory.

Automated Theorem Proving Common Sense Reasoning +1

Bankruptcy Shocks and Legal Labor Markets: Evidence from the Court Competition Era

no code implementations • 31 Jan 2022 • Chad Brown, Jeronimo Carballo, Alessandro Peri

We document that bankruptcy shocks increase county legal employment and corroborate this finding by exploiting a stipulation of the law known as Forum Shopping during the Court Competition Era (1991-1996).

Exploration of Neural Machine Translation in Autoformalization of Mathematics in Mizar

no code implementations • 5 Dec 2019 • Qingxiang Wang, Chad Brown, Cezary Kaliszyk, Josef Urban

In our context informal mathematics refers to human-written mathematical sentences in the LaTeX format; and formal mathematics refers to statements in the Mizar language.

Machine Translation Translation

Internal Guidance for Satallax

no code implementations • 30 May 2016 • Michael Färber, Chad Brown

We evaluated our method on a simply-typed higher-order logic version of the Flyspeck project, where it solves 26% more problems than Satallax without internal guidance.

General Classification

Extracting Higher-Order Goals from the Mizar Mathematical Library

no code implementations • 23 May 2016 • Chad Brown, Josef Urban

Certain constructs allowed in Mizar articles cannot be represented in first-order logic but can be represented in higher-order logic.

Automated Theorem Proving