Diagrammatic logics have advantages over symbolic cousins. Peirce thought that logical diagrams (Existential Graphs, EG) are capable of "expression of all assertions", as...
In her book "The Iconic Logic of Peirce's Graphs", S. J. Shin elaborates the diagrammatic logic of Peirce's Existential Graphs. Particularly, she provides trans...
It is well accepted that diagrams play a crucial role in human reasoning. But in mathematics, diagrams are most often only used for visualizations, but it is doubted that diagrams ...
We consider positive rules in which the conclusion may contain existentially quantified variables, which makes reasoning tasks (such as Deduction) undecidable. These rules have t...
Interactive programs, such as GUIs or spreadsheets, often maintain dependency information over dynamically-created networks of objects. That is, each imperative object tracks not ...
Neel R. Krishnaswami, Lars Birkedal, Jonathan Aldr...