Baader, F., Nipkow, T.: Term Rewriting and All That. Cambridge University Press (1998)
Caminati, M.B.: Basic first-order model theory in Mizar. J. Form. Reason. 3(1), 49–77 (2010)
MathSciNet
MATH
Google Scholar
Caminati, M.B.: Preliminaries to classical first-order model theory. Form. Math. 19(3), 157–169 (2011)
Google Scholar
Davis, M.: Obvious logical inferences. In: Proceedings of the Seventh International Joint Conference on Artificial Intelligence, pp. 530–531 (1981)
Downey, P.J., Sethi, R., Tarjan, R.E.: Variations on the common subexpression problem. J. ACM 27, 758–771 (1980). doi:10.1145/322217.322228
MathSciNet
MATH
Article
Google Scholar
Grabowski, A., Korniłowicz, A., Naumowicz, A.: Mizar in a nutshell. J. Form. Reason., Special Issue: User Tutorials I 3(2), 153–245 (2010)
MATH
Google Scholar
Korniłowicz, A.: How to define terms in Mizar effectively. In: Grabowski, A., Naumowicz, A. (eds.) Computer Reconstruction of the Body of Mathematics. Studies in Logic, Grammar and Rhetoric, vol. 18(31), pp. 67–77. University of Białystok (2009)
Naumowicz, A., Byliński, C.: Improving Mizar texts with properties and requirements. In: A. Asperti (ed.) MKM-2004. LNCS, vol. 3119, pp. 290–301. Springer, Berlin Heidelberg (2004)
Google Scholar
Naumowicz, A., Korniłowicz, A.: A brief overview of Mizar. In: Berghofer, S., Nipkow, T., Urban, C., Wenzel, M. (eds.) Proc. 22nd International Conference, TPHOLs, Munich, Germany. LNCS, vol. 5674, pp. 67–72. Springer, Berlin Heidelberg (2009)
Google Scholar
Nelson, G., Oppen, D.C.: Fast decision procedures based on congruence closure. J. ACM 27, 356–364 (1980). doi:10.1145/322186.322198
MathSciNet
MATH
Article
Google Scholar
Nieuwenhuis, R., Oliveras, A.: Proof-producing congruence closure. In: Giesl, J. (ed.) 16th International Conference on Term Rewriting and Applications, RTA’05. Lecture Notes in Computer Science, vol. 3467, pp. 453–468. Springer (2005)
Rudnicki, P.: Obvious inferences. J. Autom. Reasoning 3(4), 383–393 (1987). doi:10.1007/BF00247436
MathSciNet
MATH
Article
Google Scholar
Rudnicki, P., Trybulec, A.: Mathematical knowledge management in Mizar. In: Proc. of MKM 2001 (2001)
Shostak, R.E.: An algorithm for reasoning about equality. Commun. ACM 21, 583–585 (1978). doi:10.1145/359545.359570
MathSciNet
MATH
Article
Google Scholar