… As a result, Deduction modulo theory gives computation its rightful place in proof theory.
To show the beneficial impact of Deduction modulo theory over automated deduction, we …

… Deduction modulo theory … modulo a congruence was also the idea behind the notion of
definitional equality in Martin-Löf’s Intuitionistic type theory [53] and that Deduction modulo theory …

… In this paper, we have defined an inference system for automated deduction modulo
equational theories. This system combines the superposition strategy with a positive ordering …

… –169, we gave theoretical justifications why it is possible to embed a proof search method
based on deduction modulo, namely Ordered Polarized Resolution Modulo, into an existing …

… If we were not working modulo this rewrite system, but using a finite theory compatible with
it (ie proving exactly the same formulæ), then it would not be possible to give a bound to the …

… We consider theories formed with a set of axioms F and an equivalence relation7 denoted
by N, defined on terms and propositions and which can typically be defined by conditional …

… Deduction modulo[1] is an extension of first-order … modulo[1] which is an extension of pure
sequent calculus (see Fig.1). The resolution method in deduction modulo, resolution modulo[1]…

… of confluence modulo and local confluence modulo are those … ’s confluence modulo
corresponds to our confluence modulo … modulo does not correspond to our local confluence …

… theory of the B method as a theory modulo, ie a rewrite system rather than a set of axioms. As
deduction modulo … ATP [7] to deduction modulo, getting a tool called Zenon Modulo [16]. In …

… This leads to a real interaction between computation and deduction and to a nontrivial proof
theory. In this paper we define a presentation of deduction modulo based on the sequent cal…