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J Avigad . (2009). Review of Marcus Giaquinto, Visual thinking in mathematics: an epistemological study. Philosophia Mathematica, 17:95–108.
A. Bockmayr , & V Weispfenning . (2001). Solving Numerical Constraints. In A. Robinson , and A. Voronkov , editors. Handbook of Automated Reasoning. Amsterdam, The Netherlands: Elsevier Science, pp. 751–842.
H. J. M Bos . (2001). Redefining Geometrical Exactness: Descartes’ Transformation of the Early Modern Concept of Construction. New York, NY: Springer.
S. R Buss . (1998). An introduction to proof theory. In Samuel R. Buss , editor. The Handbook of Proof Theory. Amsterdam, The Netherlands: North-Holland, pp. 1–78.
S. C. Chou , & X. S Gao . (2001). Automated reasoning in geometry. In A. Robinson , and A. Voronkov , editors. Handbook of Automated Reasoning. Amsterdam, The Netherlands: Elsevier Science, pp. 707–750.
S. C. Chou , X. S. Gao , & J. Z Zhang . (1994). Machine Proofs in Geometry. Singapore: World Scientific.
N. Dershowitz , & D. A Plaisted . (2001). Rewriting. In A. Robinson , and A. Voronkov , editors. Handbook of Automated Reasoning. Amsterdam, The Netherlands: Elsevier Science, pp. 535–607.
M Friedman . (1985). Kant’s theory of geometry. Philosophical Review, 94, 455–506. Revised version in Michael Friedman, Kant and the Exact Sciences. Cambridge, MA: Cambridge: Harvard University Press, 1992.
M Giaquinto . (2007). Visual Thinking in Mathematics: An Epistemological Study. Oxford, UK: Oxford University Press.
K Manders . (2008a) Diagram-based geometric practice. In P. Mancosu , editor. The Philosophy of Mathematical Practice. Oxford, UK: Oxford University Press, pp. 65–79.
K Manders . (2008b). The Euclidean diagram. In P. Mancosu , editor. The Philosophy of Mathematical Practice. Oxford, UK: Oxford University Press, pp. 80–133. MS first circulated in 1995.
J. Meng , & L. C Paulson . (2008). Translating higher-order clauses to first-order clauses. Journal of Automated Reasoning, 40, 35–60.
L. M. de Moura , & N Bjørner . (2008). Z3: An efficient SMT solver. In C. R. Ramakrishnan , and J. Rehof , editors. Tools and Algorithms for the Construction and Analysis of Systems (TACAS) 2008. Berlin: Springer, pp. 337–340.
J Mumma . (2008). Review of Euclid and his twentieth century rivals, by Nathaniel Miller. Philosophia Mathematica, 16, 256–264.
J Narboux . (2007). A graphical user interface for formal proofs in geometry. Journal of Automated Reasoning, 39, 161–180.
S Negri . (2003). Contraction-free sequent calculi for geometric theories with an application to Barr’s theorem. Archive for Mathematical Logic, 42, 389–401.
J von Plato . (1995). The axioms of constructive geometry. Annals of Pure and Applied Logic, 76, 169–200.
J von Plato . (1998). A constructive theory of ordered affine geometry. Indagationes Mathematicae, 9, 549–562.
L Shabel . (2004). Kant’s “argument from geometry.” Journal of the History of Philosophy, 42, 195–215.
J Tappenden . (2005). Proof style and understanding in mathematics I: Visualization, unification, and axiom choice. In P. Mancosu , K. F. Jorgensen , and S. A. Pedersen , editors. Visualization, Explanation and Reasoning Styles in Mathematics. Berlin: Springer, pp. 147–214.
A Tarski . (1959). What is elementary geometry? In L. Henkin , P. Suppes , and A. Tarski , editors. The Axiomatic Method: With Special Reference to Geometry and Physics (first edition). Amsterdam, the Netherlands: North-Holland, pp. 16–29.
W. T Wu . (1994). Mechanical Theorem Proving in Geometries. Vienna, Austria: Springer. Translated from the 1984 Chinese original by Xiao Fan Jin and Dong Ming Wang.