Unification by Error-Correction (2009)
Abstract. The paper formalises the famous algorithm of first-order unification by Robinson by means of the error-correction learning in neural networks. The significant achievement of this...
Using Structural Recursion for Corecursion (2009)
Bertot, Yves, Komendantskaya, Ekaterina
We propose a (limited) solution to the problem of constructing stream values defined by recursive equations that do not respect the guardedness condition. The guardedness condition is imposed on...
11 Connectionist Representation of Multi-Valued Logic Programs (2009)
Ekaterina Komendantskaya, Máire Lane, Anthony Karel Seda
Summary. Hölldobler and Kalinke showed how, given a propositional logic program P, a 3-layer feedforward artificial neural network may be constructed, using only binary threshold units, which can...
Sound and complete sld-resolution for bilattice-based annotated logic programs (2008)
Ekaterina Komendantskaya, Anthony Karel Seda
We introduce the class of normal bilattice-based annotated first-order logic programs (BAPs) and develop declarative and operational semantics for them. In particular, SLD-resolution for these...
Sound and complete sld-resolution for bilattice-based annotated logic programs (2008)
Ekaterina Komendantskaya, Anthony Karel Seda
We introduce the class of normal bilattice-based annotated first-order logic programs (BAPs) and develop declarative and operational semantics for them. In particular, SLD-resolution for these...
Yves Bertot, Inria Sophia Antipolis, Ekaterina Komendantskaya
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Using Structural Recursion for Corecursion (2008)
Bertot, Yves, Komendantskaya, Ekaterina
We address the problem of constructing stream values de- fined by recursive equations that do not respect directly the guarded- ness condition, and we concentrate in particular on equations...
Using Structural Recursion for Corecursion (2008)
Bertot, Yves, Komendantskaya, Ekaterina
We address the problem of constructing stream values de- fined by recursive equations that do not respect directly the guarded- ness condition, and we concentrate in particular on equations...
Using Structural Recursion for Corecursion (2008)
Bertot, Yves, Komendantskaya, Ekaterina
We address the problem of constructing stream values de- fined by recursive equations that do not respect directly the guarded- ness condition, and we concentrate in particular on equations...
Using Structural Recursion for Corecursion (2008)
Bertot, Yves, Komendantskaya, Ekaterina
We address the problem of constructing stream values de- fined by recursive equations that do not respect directly the guarded- ness condition, and we concentrate in particular on equations...
Inductive and Coinductive Components of Corecursive Functions in Coq (2008)
Bertot, Yves, Komendantskaya, Ekaterina
In Constructive Type Theory, recursive and corecursive definitions are subject to syntactic restrictions which guarantee termination for recursive functions and productivity for corecursive...
Inductive and Coinductive Components of Corecursive Functions in Coq (2008)
Bertot, Yves, Komendantskaya, Ekaterina
In Constructive Type Theory, recursive and corecursive definitions are subject to syntactic restrictions which guarantee termination for recursive functions and productivity for corecursive...
Inductive and Coinductive Components of Corecursive Functions in Coq (2008)
Bertot, Yves, Komendantskaya, Ekaterina
In Constructive Type Theory, recursive and corecursive definitions are subject to syntactic restrictions which guarantee termination for recursive functions and productivity for corecursive...
Fibrational semantics for many-valued logic programs: grounds for non-groundness. (2008)
Komendantskaya, Ekaterina, Power, John
We introduce a fibrational semantics for many-valued logic programming, use it to define an SLD-resolution for annotation-free many valued logic programs as defined by Fitting, and...
Inductive and Coinductive Components of Corecursive Functions in Coq (2008)
Bertot, Yves, Komendantskaya, Ekaterina
In Constructive Type Theory, recursive and corecursive definitions are subject to syntactic restrictions which guarantee termination for recursive functions and productivity for corecursive...
Fibrational semantics for many-valued logic programs: grounds for non-groundness. (2008)
Komendantskaya, Ekaterina, Power, John
We introduce a fibrational semantics for many-valued logic programming, use it to define an SLD-resolution for annotation-free many valued logic programs as defined by Fitting, and...
Inductive and Coinductive Components of Corecursive Functions in Coq (2008)
Bertot, Yves, Komendantskaya, Ekaterina
In Constructive Type Theory, recursive and corecursive definitions are subject to syntactic restrictions which guarantee termination for recursive functions and productivity for corecursive...
Using Structural Recursion for Corecursion (2008)
Bertot, Yves, Komendantskaya, Ekaterina
We address the problem of constructing stream values de- fined by recursive equations that do not respect directly the guarded- ness condition, and we concentrate in particular on equations...
Using Structural Recursion for Corecursion (2008)
Bertot, Yves, Komendantskaya, Ekaterina
We address the problem of constructing stream values de- fined by recursive equations that do not respect directly the guarded- ness condition, and we concentrate in particular on equations...
Using Structural Recursion for Corecursion (2008)
Bertot, Yves, Komendantskaya, Ekaterina
We propose a (limited) solution to the problem of constructing stream values defined by recursive equations that do not respect the guardedness condition. The guardedness condition is imposed on...
Using Structural Recursion for Corecursion (2008)
Bertot, Yves, Komendantskaya, Ekaterina
We propose a (limited) solution to the problem of constructing stream values defined by recursive equations that do not respect the guardedness condition. The guardedness condition is imposed on...
First-order deduction in neural networks (2007)
Abstract. We show how the algorithm of SLD-resolution for first-order logic programs can be performed in connectionist neural networks. The most significant properties of the resulting neural...
A sequent calculus for bilattice-based logic and its many-sorted representation (2007)
Abstract. We introduce a sequent calculus for bilattice-based annotated logic (BAL). We show that this logic can be syntactically and semantically translated into a fragment MSL ∗ of conventional...
Ekaterina Komendantskaya, Vladimir Komendantsky
uniform proof-theoretic operational semantics
Logic programs with uncertainty: neural computations and automated reasoning (2006)
Ekaterina Komendantskaya, Anthony Seda
Abstract. Bilattice-based annotated logic programs (BAPs) form a very general class of programs which can handle uncertainty and conflicting information. We use BAPs to integrate two alternative...
Declarative and operational semantics for bilattice-based annotated logic programs (2006)
Ekaterina Komendantskaya, Anthony Seda
We introduce the class of normal bilattice-based annotated first-order logic programs (BAPs) and develop declarative and operational semantics for them. Thus, we discuss properties of the associated...
On approximation of the semantic operators determined by bilattice-based logic programs (2005)
Ekaterina Komendantskaya, Anthony Seda, Vladimir Komendantsky
1 Introduction Since their introduction by Ginsberg [8], bilattices have become a well-known algebraic structure for reasoning about the sort of inconsistencies which arise when one formalizes the...