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TLCA
1997
Springer
14 years 27 days ago
Coinductive Axiomatization of Recursive Type Equality and Subtyping
We present new sound and complete axiomatizations of type equality and subtype inequality for a first-order type language with regular recursive types. The rules are motivated by ...
Michael Brandt, Fritz Henglein
IUI
2010
ACM
14 years 3 months ago
Intelligent understanding of handwritten geometry theorem proving
Computer-based geometry systems have been widely used for teaching and learning, but largely based on mouse-andkeyboard interaction, these systems usually require users to draw fi...
Yingying Jiang, Feng Tian, Hongan Wang, Xiaolong Z...
LPAR
2007
Springer
14 years 2 months ago
Completeness and Decidability in Sequence Logic
Sequence logic is a parameterized logic where the formulas are sequences of formulas of some arbitrary underlying logic. The sequence formulas are interpreted in certain linearly o...
Marc Bezem, Tore Langholm, Michal Walicki
AGP
1995
IEEE
14 years 10 days ago
A Prolog Implementation of Kem
In this paper, we describe a Prolog implementation of a new theorem prover for (normal propositional) modal and multi–modal logics. The theorem prover, which is called KEM, arise...
Alberto Artosi, Paola Cattabriga, Guido Governator...
LPAR
2010
Springer
13 years 7 months ago
On Strong Normalization of the Calculus of Constructions with Type-Based Termination
Termination of recursive functions is an important property in proof assistants based on dependent type theories; it implies consistency and decidability of type checking. Type-bas...
Benjamin Grégoire, Jorge Luis Sacchini