Name
Abstract | ||
|---|---|---|
In this paper, we introduce Speedith which is an interactive diagrammatic theorem prover for the well-known language of spider diagrams. Speedith provides a way to input spider diagrams, transform them via the diagrammatic inference rules, and prove diagrammatic theorems. Speedith's inference rules are sound and complete, extending previous research by including all the classical logic connectives. In addition to being a stand-alone proof system, Speedith is also designed as a program that plugs into existing general purpose theorem provers. This allows for other systems to access diagrammatic reasoning via Speedith, as well as a formal verification of diagrammatic proof steps within standard sentential proof assistants. We describe the general structure of Speedith, the diagrammatic language, the automatic mechanism that draws the diagrams when inference rules are applied on them, and how formal diagrammatic proofs are constructed. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s10849-015-9229-0 | Journal of Logic, Language and Information |
Keywords | Field | DocType |
Interactive theorem proving,Diagrammatic reasoning,Knowledge representation,Automated reasoning | Automated reasoning,Discrete mathematics,Semantic reasoner,Diagrammatic reasoning,Automated theorem proving,Mathematical proof,Rule of inference,Mathematics,Formal verification,Proof assistant | Journal |
Volume | Issue | ISSN |
24 | 4 | 0925-8531 |
Citations | PageRank | References |
0 | 0.34 | 22 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Matej Urbas | 1 | 18 | 2.69 |
| Mateja Jamnik | 2 | 158 | 30.79 |
| Gem Stapleton | 3 | 482 | 56.25 |