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20052025
most citedA formal system for Euclid's Elements

149 citations · 517 across the 29 of their papers we have counts for

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10 papers · 1 filter

cs.LO2025

Certified Knowledge Compilation with Application to Formally Verified Model Counting

Randal E. Bryant, Wojciech Nawrocki, Jeremy Avigad +1

Computing many useful properties of Boolean formulas, such as their weighted or unweighted model count, is intractable on general representations. It can become tractable when form…

cs.LO2023

Verified reductions for optimization

Alexander Bentkamp, Ramon Fernández Mir, Jeremy Avigad

Numerical and symbolic methods for optimization are used extensively in engineering, industry, and finance. Various methods are used to reduce problems of interest to ones that are…

cs.LO2015

Elaboration in Dependent Type Theory

Leonardo de Moura, Jeremy Avigad, Soonho Kong +1

To be usable in practice, interactive theorem provers need to provide convenient and efficient means of writing expressions, definitions, and proofs. This involves inferring inform…

cs.LO2012★ 11 cited

Delta-Decidability over the Reals

Sicun Gao, Jeremy Avigad, Edmund Clarke

Given any collection F of computable functions over the reals, we show that there exists an algorithm that, given any L_F-sentence φcontaining only bounded quantifiers, and any pos…

cs.LO2012★ 43 cited

Delta-Complete Decision Procedures for Satisfiability over the Reals

Sicun Gao, Jeremy Avigad, Edmund Clarke

We introduce the notion of "δ-complete decision procedures" for solving SMT problems over the real numbers, with the aim of handling a wide range of nonlinear functions including t…

cs.LO2011★ 2 cited

Type inference in mathematics

Jeremy Avigad

In the theory of programming languages, type inference is the process of inferring the type of an expression automatically, often making use of information from the context in whic…