activity
20152023
most citedString diagrams for traced and compact categories are oriented 1-cobordisms

18 citations · 43 across the 7 of their papers we have counts for

collaborators

10 papers

cs.LO2023★ 7 cited

Algebraic Model Management: A Survey

Patrick Schultz, David I. Spivak, Ryan Wisnesky

We survey the field of model management and describe a new model management approach based on algebraic specification.

cs.SE2021

Formal Methods for the Informal Engineer: Workshop Recommendations

Gopal Sarma, James Koppel, Gregory Malecha +5

Formal Methods for the Informal Engineer (FMIE) was a workshop held at the Broad Institute of MIT and Harvard in 2021 to explore the potential role of verified software in the biom…

math.CT2017★ 11 cited

Temporal Type Theory: A topos-theoretic approach to systems and behavior

Patrick Schultz, David I. Spivak

This book introduces a temporal type theory, the first of its kind as far as we know. It is based on a standard core, and as such it can be formalized in a proof assistant such as…

math.CT2016

Dynamical Systems and Sheaves

Patrick Schultz, David I. Spivak, Christina Vasilakopoulou

A categorical framework for modeling and analyzing systems in a broad sense is proposed. These systems should be thought of as `machines' with inputs and outputs, carrying some sor…

math.CT2016

Algebraic Databases

Patrick Schultz, David I. Spivak, Christina Vasilakopoulou +1

Databases have been studied category-theoretically for decades. The database schema -- whose purpose is to arrange high-level conceptual entities -- is generally modeled as a categ…

cs.PL2015

QINL: Query-integrated Languages

Patrick Schultz, David I. Spivak, Ryan Wisnesky

We describe an alternative solution to the impedance-mismatch problem between programming and query languages: rather than embed queries in a programming language, as done in LINQ…