The calculus of constructions, Information and Computation, vol.76, issue.2-3, pp.95-120, 1988. ,
DOI : 10.1016/0890-5401(88)90005-3
URL : https://hal.archives-ouvertes.fr/inria-00076024
Inductively defined types, Colog'-88, International Conference on Computer Logic, pp.50-66, 1990. ,
DOI : 10.1007/3-540-52335-9_47
Une Théorie des Constructions Inductives, 1994. ,
Structural recursive definitions in type theory, Proceedings of ICALP'98, pp.397-408, 1998. ,
DOI : 10.1007/BFb0055070
Definitions by rewriting in the Calculus of Constructions, Journal version of LICS'01, pp.37-92, 2005. ,
DOI : 10.1017/S0960129504004426
URL : https://hal.archives-ouvertes.fr/inria-00105568
Inductive Types in the Calculus of Algebraic Constructions, Fundamenta Informaticae, vol.65, issue.12, pp.61-86, 2005. ,
DOI : 10.1007/3-540-44904-3_4
URL : https://hal.archives-ouvertes.fr/inria-00105617
The Open Calculus of Constructions: An equational type theory with dependent types for programming, specification, and interactive theorem proving (part I and II), Fundamenta Informaticae, vol.68, 2005. ,
Extensionality in the Calculus of Constructions, Proceedings 18th TPHOL, Oxford, UK. LNCS 3603, pp.278-293, 2005. ,
DOI : 10.1007/11541868_18
The groupoid model refutes uniqueness of identity proofs, Proceedings Ninth Annual IEEE Symposium on Logic in Computer Science, pp.208-212, 1994. ,
DOI : 10.1109/LICS.1994.316071
Fast Decision Procedures Based on Congruence Closure, Journal of the ACM, vol.27, issue.2, pp.356-364, 1980. ,
DOI : 10.1145/322186.322198
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.125.3226
Building Decision Procedures in the Calculus of Inductive Constructions, Proceedings 16th CSL 2007, pp.328-342, 2007. ,
DOI : 10.1007/978-3-540-74915-8_26
URL : https://hal.archives-ouvertes.fr/inria-00160586
Type Theory and Decision Procedures, 2008. ,
URL : https://hal.archives-ouvertes.fr/tel-00351837
Lambda calculi with types, pp.117-309, 1992. ,
Rewrite Systems, pp.243-320, 1990. ,
DOI : 10.1016/B978-0-444-88074-1.50011-1
Normalized Types, Lecture Notes in Computer Science, vol.2142, pp.554-569, 2001. ,
DOI : 10.1007/3-540-44802-0_39
Deciding joinability modulo ground equations in operational type theory, Proof Search in Type Theories (PSTT), 2009. ,
A Practical Decision Procedure for Arithmetic with Function Symbols, Journal of the ACM, vol.26, issue.2, pp.351-360, 1979. ,
DOI : 10.1145/322123.322137
Modularity of strong normalization and confluence in the algebraic-lambda-cube, pp.406-415, 1994. ,
The Lambda Calculus. Its Syntax and Semantics, 1984. ,
Completion of a Set of Rules Modulo a Set of Equations, SIAM Journal on Computing, vol.15, issue.4, pp.1155-1194, 1986. ,
DOI : 10.1137/0215084