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» Mathematical Programming Embeddings of Logic
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POPL
2004
ACM
14 years 10 months ago
Extensional normalisation and type-directed partial evaluation for typed lambda calculus with sums
We present a notion of -long ? -normal term for the typed lambda calculus with sums and prove, using Grothendieck logical relations, that every term is equivalent to one in norm...
Vincent Balat, Roberto Di Cosmo, Marcelo P. Fiore
IWFM
2003
172views Formal Methods» more  IWFM 2003»
13 years 11 months ago
On Continuous Models of Computation: Towards Computing the Distance Between (Logic) Programs
We present a report on work in progress on certain aspects of a programme of research concerned with building formal, mathematical models both for aspects of the computational pro...
Anthony Karel Seda, Máire Lane
LICS
1991
IEEE
14 years 1 months ago
Logic Programming in a Fragment of Intuitionistic Linear Logic
When logic programming is based on the proof theory of intuitionistic logic, it is natural to allow implications in goals and in the bodies of clauses. Attempting to prove a goal ...
Joshua S. Hodas, Dale Miller
SIGCSE
2002
ACM
202views Education» more  SIGCSE 2002»
13 years 9 months ago
A tutorial program for propositional logic with human/computer interactive learning
This paper describes a tutorial program that serves a double role as an educational tool and a research environment. First, it introduces students to fundamental concepts of propo...
Stacy Lukins, Alan Levicki, Jennifer Burg
ICCS
2004
Springer
14 years 3 months ago
Types and Tokens for Logic with Diagrams
It is well accepted that diagrams play a crucial role in human reasoning. But in mathematics, diagrams are most often only used for visualizations, but it is doubted that diagrams ...
Frithjof Dau