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Setoid
In mathematics, a setoid (also called an E-set) is a set (or type) equipped with an equivalence relation. Setoids are studied especially in proof…
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9 relations
Algorithm
Coq (software)
Curry–Howard correspondence
Extension (semantics)
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Broader (2)
Category theory
Type theory
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Towards an Implementation in LambdaProlog of the Two Level Minimalist Foundation (short paper)
A. Fiori
,
C. S. Coen
CICM Workshops
2018
Corpus ID: 67866216
In this work we will present an implementation of the Minimalist Foundation [MS05; Mai09] using the Prolog [NM88] implementation…
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2017
2017
Identity Criteria of CNs : Quantification and Copredication
2017
Corpus ID: 36585722
the situation becomes more subtle and evolved because, in such more complex situations, proper semantic treatments seem to…
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2016
2016
A Schema for Higher Inductive Types of Level One and Its Interpretation
Hugo Moeneclaey
,
P. Dybjer
2016
Corpus ID: 623260
Here we present a general schema for (non-dependent) higher inductive types built using only point and path constructors (HITs of…
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2014
2014
Formalizing complex plane geometry
Filip Maric
,
Dan Petrovic
Annals of Mathematics and Artificial Intelligence
2014
Corpus ID: 254225301
Deep connections between complex numbers and geometry had been well known and carefully studied centuries ago. Fundamental…
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2013
2013
Positive Inductive-Recursive Definitions
Neil Ghani
,
Lorenzo Malatesta
,
F. Forsberg
Log. Methods Comput. Sci.
2013
Corpus ID: 409399
We introduce a new theory of data types which allows for the definition of data types as initial algebras of certain functors Fam…
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2013
2013
Programming in homotopy type theory and erasing propositions
G. Dijkstra
2013
Corpus ID: 118486075
In the recent years, homotopy type theory has become the subject of much study. Homotopy type theory studies the correspondence…
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2013
2013
Yet another category of setoids with equality on objects
Erik Palmgren
2013
Corpus ID: 55308143
When formalizing mathematics in (generalized predicative) constructive type theories, or more practically in proof assistants…
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2010
2010
Coiterative Morphisms: Interactive Equational Reasoning for Bisimulation, using Coalgebras
M. Niqui
2010
Corpus ID: 18217151
htmlabstractter: SEN 3 Abstract: We study several techniques for interactive equational reasoning with the bisimulation…
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2010
2010
Remarks on the relation between families of setoids and identity in type theory
Erik Palmgren
2010
Corpus ID: 15511267
can be turned into a family represented by a function. This can be contrasted to MartinLöf type theory [10], and other theories…
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2005
2005
On the Semantics of Coinductive Types in Martin-Löf Type Theory
F. Marchi
Conference on Algebra and Coalgebra in Computer…
2005
Corpus ID: 33083403
There are several approaches to the problem of giving a categorical semantics to Martin-Lof type theory with dependent sums and…
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