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» The Algebra of Equality Proofs
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ISSAC
1994
Springer
136views Mathematics» more  ISSAC 1994»
13 years 12 months ago
The Albert Nonassociative Algebra System: A Progress Report
After four years of experience with the nonassociative algebra program Albert, we highlight its successes and drawbacks. Among its successes are the discovery of several new resul...
David Pokrass Jacobs
LICS
2002
IEEE
14 years 24 days ago
The Proof Complexity of Linear Algebra
We introduce three formal theories of increasing strength for linear algebra in order to study the complexity of the concepts needed to prove the basic theorems of the subject. We...
Michael Soltys, Stephen A. Cook
FOCS
1990
IEEE
13 years 12 months ago
Algebraic Methods for Interactive Proof Systems
A new algebraic technique for the construction of interactive proof systems is presented. Our technique is used to prove that every language in the polynomial-time hierarchy has an...
Carsten Lund, Lance Fortnow, Howard J. Karloff, No...
CADE
2005
Springer
14 years 8 months ago
Reasoning in Extensional Type Theory with Equality
Abstract. We describe methods for automated theorem proving in extensional type theory with primitive equality. We discuss a complete, cut-free sequent calculus as well as a compac...
Chad E. Brown
TLCA
1997
Springer
14 years 22 hour 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