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LACL
2001
Springer
15 years 11 months ago
Lambek Grammars Based on Pregroups
Lambek [13] introduces pregroups as a new framework for syntactic structure. In this paper we prove some new theorems on pregroups and study grammars based on the calculus of free...
Wojciech Buszkowski
LPAR
2001
Springer
15 years 11 months ago
Logical Omniscience and the Cost of Deliberation
Logical omniscience is a well known problem which makes traditional modal logics of knowledge, belief and intentions somewhat unrealistic from the point of view of modelling the be...
Natasha Alechina, Brian Logan
TPHOL
2000
IEEE
15 years 11 months ago
Proof Terms for Simply Typed Higher Order Logic
Abstract. This paper presents proof terms for simply typed, intuitionistic higher order logic, a popular logical framework. Unification-based algorithms for the compression and re...
Stefan Berghofer, Tobias Nipkow
CSL
2000
Springer
15 years 11 months ago
Continuous Functionals of Dependent Types and Equilogical Spaces
We show that dependent sums and dependent products of continuous parametrizations on domains with dense, codense, and natural totalities agree with dependent sums and dependent pro...
Andrej Bauer, Lars Birkedal
CSL
2000
Springer
15 years 11 months ago
Disjunctive Tautologies as Synchronisation Schemes
In the ambient logic of classical second order propositional calculus, we solve the specification problem for a family of excluded middle like tautologies. These are shown to be r...
Vincent Danos, Jean-Louis Krivine