Appendix F: Examples of existing semantic representations of mathematics 1. The central limit theorem as represented in Isabelle [12]: 2. The definition of a Möbius transformation in Coq [28]:

Source URL: www.wolframfoundation.org

• General topology
• Mathematics
• ACL2
• Lisp
• Compact space
• Automated theorem proving
• Software
• Mathematical logic
• Model theory

Dynamic Logic Prof. P.H. Schmitt Institut f¨ ur Theoretische Informatik Fakult¨ at f¨

Source URL: ssll.cecs.anu.edu.au

Tutorial on Universal Algebra, Mal’cev Conditions, and Finite Relational Structures: Lecture I Ross Willard University of Waterloo, Canada BLAST 2010

Source URL: spot.colorado.edu

• Mathematical structures
• Universal algebra
• Abstract algebra
• Algebraic structures
• Mathematical logic
• Algebra
• Variety
• Boolean algebra
• F-algebra
• Structure
• Boolean algebras canonically defined
• Heyting algebra

Powerturn Valid for variants: Powerturn (1-leaf/2-leaf ) Powerturn F (1-leaf ) Powerturn F-IS (2-leaf ) Powerturn F/R (1-leaf/2-leaf )

Source URL: www.powerturn.geze.com

• Engineering
• Electrical components
• Electrical engineering
• Doors
• Electromagnetism
• Switches
• Programmable logic controllers
• Relays
• Light switch
• Limit switch
• Contactor
• Vehicle door

Dynamic Logic Prof. P.H. Schmitt Institut f¨ ur Theoretische Informatik Fakult¨ at f¨

Source URL: ssll.rsise.anu.edu.au

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Source URL: www.cs.man.ac.uk

Effective bounds from ineffective proofs in analysis: an application of functional interpretation and majorization∗ Ulrich Kohlenbach Fachbereich Mathematik, J.W.Goethe–Universitt Robert–Mayer–Str. 6–10, 6000 F

Source URL: www.mathematik.tu-darmstadt.de

• Computability theory
• Mathematical logic
• Logic
• Primitive recursive functional
• Proof theory
• Symbol
• Mathematics
• Table of stars with Bayer designations

Towards Rigorously Faking Bidirectional Model Transformations Christopher M. Poskitt1? , Mike Dodds2 , Richard F. Paige2 , and Arend Rensink3 1 Department of Computer Science, ETH Z¨urich, Switzerland

Source URL: se.inf.ethz.ch

• Systems engineering
• Graph rewriting
• Unified Modeling Language
• Model transformation
• Data transformation
• Model checking
• Mathematical logic

H A R D WA R E A N D S O F T WA R E F O R A P P R O X I M AT E C O M P U T I N G adrian sampson A dissertation submitted in partial fulfillment of the

Source URL: homes.cs.washington.edu

• Logic in computer science
• Formal methods
• Semantics
• Pi
• Probability

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Source URL: prague_logic_2016.math.cas.cz