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Dr.Doodle: A Diagrammatic Theorem Prover [chapter]

Daniel Winterstein, Alan Bundy, Corin Gurr
2004 Lecture Notes in Computer Science  
This paper presents the Dr.Doodle system, an interactive theorem prover that uses diagrammatic representations.  ...  The Dr.Doodle system was developed for the domain of metric-space analysis (a geometric domain, but traditionally taught using a dry algebraic formalism).  ...  The Dr.Doodle System The Dr.Doodle system is an interactive theorem prover for non-inductive reasoning, with diagrammatic representations for metric-space and real-line analysis concepts (involving objects  ... 
doi:10.1007/978-3-540-25984-8_24 fatcat:injewouvongungdgmngkrwralm

An Experimental Comparison of Diagrammatic and Algebraic Logics [chapter]

Daniel Winterstein, Alan Bundy, Corin Gurr, Mateja Jamnik
2004 Lecture Notes in Computer Science  
We have developed a diagrammatic logic for theorem proving, focusing on the domain of metric-space analysis (a geometric domain, but traditionally taught using a dry algebraic formalism).  ...  To evaluate its pragmatic value, pilot experiments were conducted using this logicimplemented in an interactive theorem prover -to teach undergraduate students (and comparing performance against an equivalent  ...  Both logics were implemented in a user-friendly interactive theorem prover, which we call Dr.Doodle for its drawing mode. Figure 2 shows a sample screenshot.  ... 
doi:10.1007/978-3-540-25931-2_57 fatcat:eh3lql3jhbcitaw7ftq5npqlca

Heterogeneous Proofs: Spider Diagrams Meet Higher-Order Provers [chapter]

Matej Urbas, Mateja Jamnik
2011 Lecture Notes in Computer Science  
We provide a mechanisation of the theory of abstract spider diagrams and establish a formal link between diagrammatic concepts and the existing theories in Isabelle/HOL.  ...  We present an interactive heterogeneous theorem proving framework, which performs formal reasoning by arbitrarily mixing diagrammatic and sentential proof steps.  ...  Consequently, some purely diagrammatic theorem provers have been developed, Diamond [8] , Edith [10] and Dr.Doodle [13] are some examples.  ... 
doi:10.1007/978-3-642-22863-6_29 fatcat:u5hbevxi7fagjcnk5sfcts4opu

Speedith: A Diagrammatic Reasoner for Spider Diagrams [chapter]

Matej Urbas, Mateja Jamnik, Gem Stapleton, Jean Flower
2012 Lecture Notes in Computer Science  
In this paper, we introduce Speedith which is a diagrammatic theorem prover for the language of spider diagrams.  ...  It is designed as a program that plugs into existing general purpose theorem provers.  ...  Whilst there exist other purely diagrammatic theorem provers, such as Diamond [1] , Dr.Doodle [2] , and Cinderella [3] , they target different, more restricted domains (e.g., a small subset of natural  ... 
doi:10.1007/978-3-642-31223-6_19 fatcat:kcavkfwnzbearnosffi2fj4nt4

Visually Dynamic Presentation of Proofs in Plane Geometry

Zheng Ye, Shang-Ching Chou, Xiao-Shan Gao
2009 Journal of automated reasoning  
With dynamic mediums such as computer displays, we propose a new kind of visually dynamic presentation of proofs in plane geometry.  ...  In a single diagram for the proof, when the proof text goes on step by step with mouse clicks, the related geometry elements in the diagram are added, animated, or deleted dynamically with various visually  ...  The Dr.Doodle System The Dr.Doodle system [46] is an interactive theorem prover for diagrammatic representations of metric-space and real-line analysis concepts (involving objects such as functions,  ... 
doi:10.1007/s10817-009-9162-5 fatcat:ey3y4rjngvfcfk7ba5sdrg64ry