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TPHOL
1996
IEEE
15 years 1 months ago
Synthetic Domain Theory in Type Theory: Another Logic of Computable Functions
We will present a Logic of Computable Functions based on the idea of Synthetic Domain Theory such that all functions are automatically continuous. Its implementation in the Lego pr...
Bernhard Reus
LICS
2006
IEEE
15 years 3 months ago
A Proof of Strong Normalisation using Domain Theory
U. Berger, [11] significantly simplified Tait’s normalisation proof for bar recursion [27], see
Thierry Coquand, Arnaud Spiwack
CADE
2006
Springer
15 years 9 months ago
Automating Proofs in Category Theory
Abstract. We introduce a semi-automated proof system for basic category-theoretic reasoning. It is based on a first-order sequent calculus that captures the basic properties of cat...
Dexter Kozen, Christoph Kreitz, Eva Richter
96
Voted
CADE
2000
Springer
15 years 1 months ago
Automated Proof Construction in Type Theory Using Resolution
We provide techniques to integrate resolution logic with equality in type theory. The results may be rendered as follows. − A clausification procedure in type theory, equipped w...
Marc Bezem, Dimitri Hendriks, Hans de Nivelle
LICS
2005
IEEE
15 years 3 months ago
Proof Theory for Kleene Algebra
The universal Horn theory of relational Kleene algebra with tests (RKAT) is of practical interest, particularly for program semantics. We develop an (infinitary) proof system, ba...
Chris Hardin