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CADE
2005
Springer
14 years 7 months ago
A Focusing Inverse Method Theorem Prover for First-Order Linear Logic
We present the theory and implementation of a theorem prover for first-order intuitionistic linear logic based on the inverse method. The central proof-theoretic insights underlyin...
Kaustuv Chaudhuri, Frank Pfenning
ENTCS
2007
105views more  ENTCS 2007»
13 years 7 months ago
Narrowing and Rewriting Logic: from Foundations to Applications
Narrowing was originally introduced to solve equational E-unification problems. It has also been recognized as a key mechanism to unify functional and logic programming. In both ...
Santiago Escobar, José Meseguer, Prasanna T...
ICALP
2007
Springer
13 years 11 months ago
Affine Systems of Equations and Counting Infinitary Logic
We study the definability of constraint satisfaction problems (CSP) in various fixed-point and infinitary logics. We show that testing the solvability of systems of equations over...
Albert Atserias, Andrei A. Bulatov, Anuj Dawar
CIE
2007
Springer
14 years 1 months ago
RZ: A Tool for Bringing Constructive and Computable Mathematics Closer to Programming Practice
Realizability theory is not just a fundamental tool in logic and computability. It also has direct application to the design and implementation of programs, since it can produce co...
Andrej Bauer, Christopher A. Stone
AAAI
1994
13 years 8 months ago
Soundness and Completeness of a Logic Programming Approach to Default Logic
We present a method of representing some classes of default theories as normal logic programs. The main point is that the standard semantics (i.e. SLDNF-resolution) computes answe...
Grigoris Antoniou, Elmar Langetepe