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Zenon Modulo: When Achilles Outruns the Tortoise Using Deduction Modulo
TLDR
We propose an extension of the tableau-based first order automated theorem prover Zenon to deduction modulo, which allows us to transform axioms into rewrite rules. Expand
Checking Zenon Modulo Proofs in Dedukti
TLDR
We present a shallow embedding into Dedukti of proofs produced by Zenon Modulo, an extension of the tableau-based first-order theorem prover Zenon to deduction modulo and typing. Expand
Dedukti : a Logical Framework based on the λ Π-Calculus Modulo Theory
Dedukti is a Logical Framework based on the λΠ-Calculus Modulo Theory. We show that many theories can be expressed in Dedukti: constructive and classical predicate logic, Simple type theory,Expand
Expressing theories in the λΠ-calculus modulo theory and in the Dedukti system
TLDR
Defining a theory, such as arithmetic, geometry, or set theory, in predicate logic just requires to chose function and predicate symbols and axioms, that express the meaning of these symbols. Expand
Automated Deduction in the B Set Theory using Typed Proof Search and Deduction Modulo
TLDR
We introduce an encoding of the set theory of the B method using polymorphic types and deduction modulo, which is used for the automated verication of proof obligations in the framework of theBWare project. Expand
Proof Certification in Zenon Modulo: When Achilles Uses Deduction Modulo to Outrun the Tortoise with Shorter Steps
We present the certifying part of the Zenon Modulo automated theorem prover, which is an extension of the Zenon tableau-based first order automated theorem prover to deduction modulo. The theory ofExpand
First-Order Automated Reasoning with Theories: When Deduction Modulo Theory Meets Practice
TLDR
A theory, commonly formulated as a collection of axioms, is often necessary to specify, in a concise and understandable way, the properties of objects manipulated in software proofs. Expand
Automated Deduction in the B Set Theory using Deduction Modulo ?
We introduce a new encoding of the set theory of the B method based on deduction modulo. The theory of deduction modulo is an extension of predicate calculus that includes rewriting on both terms andExpand
Implementing Polymorphism in Zenon
TLDR
In this paper, we discuss the implementation of polymorphism into the first-order tableau-based automated theorem prover Zenon. Expand
Soundly Proving B Method Formulæ Using Typed Sequent Calculus
TLDR
We introduce a first-order sequent calculus extended with a polymorphic type system, which is in particular the output proof-format of the tableau-based automated theorem prover Zenon, and show that Zenon proofs can be translated to proofs of the initial B formulae in the B proof system. Expand
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