Extending the Calculus of Constructions with Tarski's fix-point theorem [PDF]
, 2006 We propose to use Tarski's least fixpoint theorem as a basis to define recursive functions in the calculus of inductive constructions. This widens the class of functions that can be modeled in type-theory based theorem proving tool to potentially non ...
Inria Sophia Antipolis, Yves Bertot
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On the strength of dependent products in the type theory of Martin-L\"of
, 2009 One may formulate the dependent product types of Martin-L\"of type theory either in terms of abstraction and application operators like those for the lambda-calculus; or in terms of introduction and elimination rules like those for the other constructors
Altenkirch +7 more
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The Strength of Abstraction with Predicative Comprehension
, 2015 Frege's theorem says that second-order Peano arithmetic is interpretable in Hume's Principle and full impredicative comprehension. Hume's Principle is one example of an abstraction principle, while another paradigmatic example is Basic Law V from Frege's
Walsh, Sean
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Learning-Assisted Automated Reasoning with Flyspeck
, 2014 The considerable mathematical knowledge encoded by the Flyspeck project is combined with external automated theorem provers (ATPs) and machine-learning premise selection methods trained on the proofs, producing an AI system capable of answering a wide ...
Kaliszyk, Cezary, Urban, Josef
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Linear logic for constructive mathematics
, 2018 We show that numerous distinctive concepts of constructive mathematics arise automatically from an interpretation of "linear higher-order logic" into intuitionistic higher-order logic via a Chu construction.
Shulman, Michael
core
Temporal Landscapes: A Graphical Temporal Logic for Reasoning
, 2019 We present an elementary introduction to a new logic for reasoning about behaviors that occur over time. This logic is based on temporal type theory. The syntax of the logic is similar to the usual first-order logic; what differs is the notion of truth ...
Fong, Brendan +2 more
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A tripartite multifactorial analysis of abstract anaphoric choice between this and this+NP in Chinese L2 English argumentative writing: Extending the usage-based approach to discourse alternation. [PDF]
PLoS OneXu J, Yue M, Yang Y.
europepmc +1 more source
A quantum-cognitive approach to dynamic meaning construction. [PDF]
Front PsycholYin M.
europepmc +1 more source
Fuzzy Logic Approaches for Causal Inference in Health Care: Systematic Review. [PDF]
JMIR AIJamett J +4 more
europepmc +1 more source
A new framework to consider equity in urban intervention planning, implementation and evaluation: development and application in a case study on an urban play spaces policy. [PDF]
BMC Public HealthAhrens J +9 more
europepmc +1 more source